JEE Main · 2021 · 31 Aug 2021 · Shift 1 · Current Electricity

A capacitor of

50 μ F

is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is _____

μ C

Answer: 100

Solution

In the steady state no current enters the capacitor branch, so the three

2 kΩ

resistors carry the same current in series across the

6

V supply:

I = \frac{6}{3 \times 2000} = 1 mA

. The upper plate connects to the node above the lowest resistor, whose potential above the earthed lower plate equals the drop across that single resistor:

V = I \times 2000 = 2

V. The charge on the upper plate is

Q = C V = 50 \times 1 0^{- 6} \times 2 = 1.0 \times 1 0^{- 4} C = 100 μ C .

JEE Main · 2021 · 31 Aug 2021 · Shift 1 · Integer answer

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