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PHYSICS

JAMB 2001 - Question 25

Physics 2001 JAMB Past Questions - Question 25: The diagram above shows the capacitors C1, C2 and C3 2μF, 6μF and 3μF respectively. The potential difference across C1, C2 and C3 respectively are

Use the diagram to answer question that follows

The diagram above shows the capacitors C1, C2 and C3 2μF, 6μF and 3μF respectively. The potential difference across C1, C2 and C3 respectively are

A: 4 V, 6 V and 2 V

B: 2 V, 6 V and 4 V

C: 6 V, 4 V and 2 V

D: 6 V, 2 V and 4 V

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Correct Answer

Explanation

C = Q/V => Q = CV : ∴V = Q/C
∴V1 = Q/C1; V2 = Q/C;
V3 = Q/C3
for series
1/C = 1/C1 + 1/C2 + 1/C3
= 1/2 + 1/6 + 1/3
=3+1+2_6
= 6/6 = 1
∴ C = 1μF = 1.0 x 10-6F
∴ Q = CV = 1.0 x 10-6 x 12
= 12.0 x 10-6C
∴V1 = Q/C1
=12.0x10-62 x 10-6
= 6V
V2 = Q/C2
=12.0x10-66 x 10-6
= 2V
V3 = Q/C3
=12.0x10-63 x 10-6
∴ 6V, 2V and 4V