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Q.

At time t=0, a battery of 10 V is connected across the points A and B in given circuit. If the capacitors have no charge initially, at what time does the voltage across them become 4V (Given in 5 = 1.,in 3 = 1.1)

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a

3 S

b

5 Sec

c

7 Sec

d

2 Sec

answer is D.

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Detailed Solution

Rc=2×22+2 MΩ=1MΩ, le=4μF ∴Time constant Rc=1×4s=4s At anytime,u=10×4(1-e-t4)μe At anytime, v=QCe=10(1-e-t4) ∴4=10(1-e-t4⇒e-t4=0.6=35. ⇒t=4(ln 5-ln 3)=2 s.

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At time t=0, a battery of 10 V is connected across the points A and B in given circuit. If the capacitors have no charge initially, at what time does the voltage across them become 4V (Given in 5 = 1.,in 3 = 1.1)