First slide

Capacitance

Question

In the arrangement shown, charge on the capacitor at the steady state is

Moderate

A

Zero
B

$12 μC$
C

$6 μC$
D

$8 μC$

Solution

If i be the current in the branch ACB, flowing from A to B, then
$i = \frac{10 - 2}{3 + 1} A = 2 A$
$∴ 10 - v_{c} = 3 x 2 \Rightarrow v_{c} = 4 V$
$∴$ Charge $Q = 2 μF x 4 V = 8 μC$

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