In the network shown in the given figure. If the voltage

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In the network shown in the given figure. If the voltage V at the time considered is 20 V, then dV/dt at that time will be—

1. 1 V/s
2. 2 V/s
3. – 2 V/s
4. Zero

Correct Option: B

From figure, the current through
20Ω resistor = 20/20 = 1A.
current through 10Ω resistor
= 40 – 20/10 = 2A.
By applying KCL at point A, current in the capacitor, say
i = 2 – 1 = 1A.
As we know that current across capacitor is given by relation

i = C	dV
	dt

i =	1	dV
i =	2	dt

or	dV	= 2V/s
	dt