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In the circuit shown in fig, switch S wa...

In the circuit shown in fig, switch S was closed for long time. At time t-0, the switch is opened again. The maximum potential difference across the plates of the capacitor after the switch is opened is

A

10V

B

100V

C

20V

D

200V

Text Solution

Verified by Experts

The correct Answer is:
B
maximum current `I_(m)=(100)/(50)=2A`
Potential drop across the resistro is `2xx50 = 100V`
Initial potential difference across capacitor is zero
`L_(eq)=(200+50)=250mH`
energy stored `=1/2 L_(eff)I_(M)^(2)=1/2 xx250 xx 10^(-3)xx2^(2)=0.5J`
when `s_(1)` is opened `1/2 L_(eff)I_(M)^(2)=1/2 CV_(max)^(2)`
`V_(max)=sqrt((2xx0.5)/(100 xx 10^(-6)))=100V` .
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