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Lesson 1: Electric Current, Potential Difference, Resistance and Resistivity — Picture questions (exam style)

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1.
Wires X and Y have length ratio 4 : 1, diameter ratio 3 : 1 and resistivity ratio 2 : 1 (see figure). They are connected in series to a supply. Which option is correct?
Wires X and Y have length ratio 4 : 1, diameter ratio 3 : 1 and resistivity ratio 2 : 1 (see figure). They are connected in series to a supply. Which option is correct?
R_X : R_Y = 64 : 81, I_X : I_Y = 1 : 1
R_X : R_Y = 9 : 8, I_X : I_Y = 1 : 2
R_X : R_Y = 8 : 81, I_X : I_Y = 1 : 1
R_X : R_Y = 8 : 9, I_X : I_Y = 1 : 1
2.
A 6 Ω wire is connected to a source of e.m.f. 12 V and internal resistance 2 Ω. The wire is drawn out to 4 times its length (constant volume) and reconnected. Which option is correct?
A 6 Ω wire is connected to a source of e.m.f. 12 V and internal resistance 2 Ω. The wire is drawn out to 4 times its length (constant volume) and reconnected. Which option is correct?
new current = 0.462 A, power in wire = 13.5 W
new current = 0.375 A, power in wire = 3.38 W
new current = 0.122 A, power in wire = 3.38 W
new current = 0.122 A, power in wire = 1.44 W
3.
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in parallel, which option is correct?
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in parallel, which option is correct?
larger resistance: X, gradient of the combination = 5 units
larger resistance: Y, gradient of the combination = 3 units
larger resistance: X, gradient of the combination = 3 units
larger resistance: Y, gradient of the combination = 5 units
4.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 19 C, mean current = 1.58 A
total charge = 19 C, mean current = 1.00 A
total charge = 23 C, mean current = 1.50 A
total charge = 23 C, mean current = 1.00 A
5.
A uniform 96 Ω wire is cut into 4 equal pieces; 3 are joined in parallel and the group is put in series with the rest, across an ideal 24 V supply (figure). Which option is correct?
A uniform 96 Ω wire is cut into 4 equal pieces; 3 are joined in parallel and the group is put in series with the rest, across an ideal 24 V supply (figure). Which option is correct?
equivalent resistance = 6 Ω, power in one parallel piece = 1.5 W
equivalent resistance = 6 Ω, power in one parallel piece = 24 W
equivalent resistance = 32 Ω, power in one parallel piece = 1.5 W
equivalent resistance = 32 Ω, power in one parallel piece = 13.5 W
6.
Wires X and Y have length ratio 3 : 1, diameter ratio 1 : 1 and resistivity ratio 2 : 1 (see figure). They are connected in series to a supply. Which option is correct?
Wires X and Y have length ratio 3 : 1, diameter ratio 1 : 1 and resistivity ratio 2 : 1 (see figure). They are connected in series to a supply. Which option is correct?
R_X : R_Y = 6 : 1, P_X : P_Y = 1 : 36
R_X : R_Y = 6 : 1, P_X : P_Y = 6 : 1
R_X : R_Y = 6 : 2, P_X : P_Y = 6 : 2
R_X : R_Y = 6 : 1, P_X : P_Y = 36 : 1
7.
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in series, which option is correct?
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in series, which option is correct?
larger resistance: X, gradient of the combination = 3 units
larger resistance: Y, gradient of the combination = 2 units
larger resistance: Y, gradient of the combination = 4/3 units
larger resistance: X, gradient of the combination = 4/3 units
8.
Wires X and Y have length ratio 2 : 1, diameter ratio 2 : 1 and resistivity ratio 1 : 1 (see figure). They are connected in parallel to a supply. Which option is correct?
Wires X and Y have length ratio 2 : 1, diameter ratio 2 : 1 and resistivity ratio 1 : 1 (see figure). They are connected in parallel to a supply. Which option is correct?
R_X : R_Y = 1 : 2, P_X : P_Y = 4 : 1
R_X : R_Y = 2 : 1, P_X : P_Y = 1 : 4
R_X : R_Y = 1 : 2, P_X : P_Y = 2 : 1
R_X : R_Y = 1 : 4, P_X : P_Y = 4 : 1
9.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 16 C, mean current = 2.00 A
total charge = 18 C, mean current = 1.80 A
total charge = 18 C, mean current = 1.00 A
total charge = 18 C, mean current = 2.00 A
10.
A uniform 72 Ω wire is cut into 6 equal pieces; 2 are joined in parallel and the group is put in series with the rest, across an ideal 6 V supply (figure). Which option is correct?
A uniform 72 Ω wire is cut into 6 equal pieces; 2 are joined in parallel and the group is put in series with the rest, across an ideal 6 V supply (figure). Which option is correct?
equivalent resistance = 2 Ω, power in one parallel piece = 0.037 W
equivalent resistance = 54 Ω, power in one parallel piece = 0.037 W
equivalent resistance = 2 Ω, power in one parallel piece = 0.148 W
equivalent resistance = 72 Ω, power in one parallel piece = 3 W
11.
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in parallel, which option is correct?
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in parallel, which option is correct?
larger resistance: X, gradient of the combination = 5 units
larger resistance: Y, gradient of the combination = 5 units
larger resistance: X, gradient of the combination = 5/2 units
larger resistance: X, gradient of the combination = 6/5 units
12.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 30 C, mean current = 3.00 A
total charge = 34 C, mean current = 3.00 A
total charge = 34 C, mean current = 2.00 A
total charge = 22 C, mean current = 2.50 A
13.
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in parallel, which option is correct?
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in parallel, which option is correct?
larger resistance: Y, gradient of the combination = 8 units
larger resistance: X, gradient of the combination = 8 units
larger resistance: Y, gradient of the combination = 3/2 units
larger resistance: Y, gradient of the combination = 4 units
14.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 58 C, mean current = 4.83 A
total charge = 46 C, mean current = 7.25 A
total charge = 72 C, mean current = 3.00 A
total charge = 72 C, mean current = 4.83 A
15.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 76 C, mean current = 3.00 A
total charge = 84 C, mean current = 3.00 A
total charge = 64 C, mean current = 4.57 A
total charge = 64 C, mean current = 3.00 A
16.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 42 C, mean current = 3.00 A
total charge = 42 C, mean current = 9.00 A
total charge = 36 C, mean current = 4.50 A
total charge = 36 C, mean current = 3.00 A
17.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 28 C, mean current = 3.00 A
total charge = 60 C, mean current = 6.67 A
total charge = 60 C, mean current = 4.00 A
total charge = 40 C, mean current = 4.00 A
18.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 29 C, mean current = 2.50 A
total charge = 21 C, mean current = 3.50 A
total charge = 21 C, mean current = 2.62 A
total charge = 32 C, mean current = 2.00 A
19.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 18 C, mean current = 2.00 A
total charge = 24 C, mean current = 3.00 A
total charge = 18 C, mean current = 3.00 A
total charge = 22 C, mean current = 4.50 A
20.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 23 C, mean current = 3.83 A
total charge = 31 C, mean current = 2.88 A
total charge = 23 C, mean current = 2.88 A
total charge = 19 C, mean current = 3.83 A
21.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 11 C, mean current = 1.62 A
total charge = 11 C, mean current = 2.17 A
total charge = 13 C, mean current = 1.62 A
total charge = 17 C, mean current = 2.17 A
22.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 21 C, mean current = 2.50 A
total charge = 21 C, mean current = 3.12 A
total charge = 25 C, mean current = 3.12 A
total charge = 25 C, mean current = 4.17 A
23.
Wires X and Y have length ratio 2 : 1, diameter ratio 3 : 1 and resistivity ratio 1 : 1 (see figure). They are connected in parallel to a supply. Which option is correct?
Wires X and Y have length ratio 2 : 1, diameter ratio 3 : 1 and resistivity ratio 1 : 1 (see figure). They are connected in parallel to a supply. Which option is correct?
R_X : R_Y = 9 : 2, P_X : P_Y = 4 : 81
R_X : R_Y = 81 : 4, P_X : P_Y = 9 : 2
R_X : R_Y = 2 : 9, P_X : P_Y = 9 : 2
R_X : R_Y = 4 : 81, P_X : P_Y = 2 : 9
24.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 19 C, mean current = 2.38 A
total charge = 21 C, mean current = 1.90 A
total charge = 17 C, mean current = 1.90 A
total charge = 19 C, mean current = 1.90 A
25.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 26 C, mean current = 1.86 A
total charge = 30 C, mean current = 1.00 A
total charge = 28 C, mean current = 1.00 A
total charge = 28 C, mean current = 2.60 A
26.
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in parallel, which option is correct?
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in parallel, which option is correct?
larger resistance: X, gradient of the combination = 7 units
larger resistance: Y, gradient of the combination = 7 units
larger resistance: X, gradient of the combination = 12/7 units
larger resistance: X, gradient of the combination = 1 units
27.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 12 C, mean current = 2.00 A
total charge = 12 C, mean current = 4.00 A
total charge = 16 C, mean current = 2.50 A
total charge = 16 C, mean current = 2.00 A
28.
Wires X and Y have length ratio 1 : 1, diameter ratio 2 : 1 and resistivity ratio 4 : 1 (see figure). They are connected in series to a supply. Which option is correct?
Wires X and Y have length ratio 1 : 1, diameter ratio 2 : 1 and resistivity ratio 4 : 1 (see figure). They are connected in series to a supply. Which option is correct?
R_X : R_Y = 1 : 2, P_X : P_Y = 1 : 2
R_X : R_Y = 2 : 1, P_X : P_Y = 1 : 1
R_X : R_Y = 1 : 1, P_X : P_Y = 1 : 1
R_X : R_Y = 1 : 2, P_X : P_Y = 2 : 1
29.
A uniform 12 Ω wire is cut into 6 equal pieces; 4 are joined in parallel and the group is put in series with the rest, across an ideal 12 V supply (figure). Which option is correct?
A uniform 12 Ω wire is cut into 6 equal pieces; 4 are joined in parallel and the group is put in series with the rest, across an ideal 12 V supply (figure). Which option is correct?
equivalent resistance = 12 Ω, power in one parallel piece = 14.2 W
equivalent resistance = 4.5 Ω, power in one parallel piece = 72 W
equivalent resistance = 4.5 Ω, power in one parallel piece = 0.889 W
equivalent resistance = 12 Ω, power in one parallel piece = 72 W
30.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 72 C, mean current = 6.75 A
total charge = 54 C, mean current = 4.50 A
total charge = 54 C, mean current = 3.00 A
total charge = 66 C, mean current = 3.00 A
31.
A 4 Ω wire is connected to a source of e.m.f. 12 V and internal resistance 0 Ω. The wire is drawn out to 2 times its length (constant volume) and reconnected. Which option is correct?
A 4 Ω wire is connected to a source of e.m.f. 12 V and internal resistance 0 Ω. The wire is drawn out to 2 times its length (constant volume) and reconnected. Which option is correct?
new current = 1.50 A, power in wire = 18.0 W
new current = 0.750 A, power in wire = 36.0 W
new current = 0.750 A, power in wire = 18.0 W
new current = 0.750 A, power in wire = 9.00 W
32.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 26 C, mean current = 3.50 A
total charge = 26 C, mean current = 3.80 A
total charge = 38 C, mean current = 3.80 A
total charge = 26 C, mean current = 3.00 A
33.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 38 C, mean current = 3.00 A
total charge = 72 C, mean current = 3.50 A
total charge = 72 C, mean current = 3.00 A
total charge = 50 C, mean current = 4.17 A
34.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 12 C, mean current = 1.83 A
total charge = 13 C, mean current = 1.83 A
total charge = 11 C, mean current = 1.83 A
total charge = 9 C, mean current = 2.75 A
35.
A uniform 96 Ω wire is cut into 6 equal pieces; 5 are joined in parallel and the group is put in series with the rest, across an ideal 12 V supply (figure). Which option is correct?
A uniform 96 Ω wire is cut into 6 equal pieces; 5 are joined in parallel and the group is put in series with the rest, across an ideal 12 V supply (figure). Which option is correct?
equivalent resistance = 2.67 Ω, power in one parallel piece = 6.25 W
equivalent resistance = 96 Ω, power in one parallel piece = 0.25 W
equivalent resistance = 19.2 Ω, power in one parallel piece = 0.25 W
equivalent resistance = 2.67 Ω, power in one parallel piece = 9 W
36.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 22 C, mean current = 1.83 A
total charge = 22 C, mean current = 2.75 A
total charge = 26 C, mean current = 2.50 A
total charge = 18 C, mean current = 2.75 A
37.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 34 C, mean current = 4.25 A
total charge = 48 C, mean current = 3.00 A
total charge = 34 C, mean current = 8.50 A
total charge = 22 C, mean current = 4.25 A
38.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 32 C, mean current = 3.20 A
total charge = 36 C, mean current = 2.00 A
total charge = 32 C, mean current = 2.00 A
total charge = 36 C, mean current = 3.20 A
39.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 15 C, mean current = 1.00 A
total charge = 15 C, mean current = 1.50 A
total charge = 13 C, mean current = 1.00 A
total charge = 19 C, mean current = 1.50 A
40.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 26 C, mean current = 3.50 A
total charge = 32 C, mean current = 2.00 A
total charge = 26 C, mean current = 3.25 A
total charge = 32 C, mean current = 6.50 A
41.
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in series, which option is correct?
The I–V lines for X and Y are shown (gradients in arbitrary units). When they are connected in series, which option is correct?
larger resistance: Y, gradient of the combination = 6/7 units
larger resistance: X, gradient of the combination = 6/7 units
larger resistance: Y, gradient of the combination = 7 units
larger resistance: X, gradient of the combination = 7 units
42.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 37 C, mean current = 4.30 A
total charge = 43 C, mean current = 4.30 A
total charge = 37 C, mean current = 5.38 A
total charge = 37 C, mean current = 3.00 A
43.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 20 C, mean current = 2.00 A
total charge = 16 C, mean current = 2.00 A
total charge = 22 C, mean current = 1.00 A
total charge = 20 C, mean current = 3.33 A
44.
A uniform 96 Ω wire is cut into 4 equal pieces; 2 are joined in parallel and the group is put in series with the rest, across an ideal 24 V supply (figure). Which option is correct?
A uniform 96 Ω wire is cut into 4 equal pieces; 2 are joined in parallel and the group is put in series with the rest, across an ideal 24 V supply (figure). Which option is correct?
equivalent resistance = 48 Ω, power in one parallel piece = 0.96 W
equivalent resistance = 60 Ω, power in one parallel piece = 0.96 W
equivalent resistance = 60 Ω, power in one parallel piece = 3.84 W
equivalent resistance = 96 Ω, power in one parallel piece = 24 W
45.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 43 C, mean current = 4.90 A
total charge = 49 C, mean current = 4.90 A
total charge = 49 C, mean current = 6.12 A
total charge = 60 C, mean current = 3.00 A
46.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 14 C, mean current = 1.80 A
total charge = 18 C, mean current = 1.80 A
total charge = 20 C, mean current = 1.00 A
total charge = 22 C, mean current = 2.50 A
47.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 13 C, mean current = 1.00 A
total charge = 16 C, mean current = 1.88 A
total charge = 15 C, mean current = 1.88 A
total charge = 15 C, mean current = 1.00 A
48.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 19 C, mean current = 4.17 A
total charge = 36 C, mean current = 4.17 A
total charge = 25 C, mean current = 4.17 A
total charge = 31 C, mean current = 6.25 A
49.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 11 C, mean current = 2.17 A
total charge = 13 C, mean current = 1.62 A
total charge = 11 C, mean current = 1.00 A
total charge = 13 C, mean current = 1.00 A
50.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 24 C, mean current = 2.00 A
total charge = 26 C, mean current = 2.50 A
total charge = 24 C, mean current = 3.00 A
total charge = 20 C, mean current = 2.50 A
51.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 32 C, mean current = 4.00 A
total charge = 48 C, mean current = 3.00 A
total charge = 38 C, mean current = 4.00 A
total charge = 20 C, mean current = 3.00 A
52.
The graph shows the current in a conductor against time. Which option is correct?
The graph shows the current in a conductor against time. Which option is correct?
total charge = 17 C, mean current = 1.70 A
total charge = 17 C, mean current = 2.50 A
total charge = 15 C, mean current = 1.70 A
total charge = 21 C, mean current = 2.50 A
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