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In the circuit shown below , the switch ...

In the circuit shown below , the switch is kept in position a for a long time and is then thrown to position b. The amplitude of the resulting oscillating current is given by

A

`Esqrt(L//C)`

B

`E//R`

C

infinity

D

`Esqrt(C//L)`

Text Solution

Verified by Experts

The correct Answer is:
D
If the switch is kept in position a for a long time , the charge accumulated on the capacitor plates=EC.
When the switch is thrown is position b, it behaves as a source of emf due to the accumulated charges.
Electromotive force=`(EC)/C=E`
As a result , the LC circuit changes to an oscillating circuit, whose angular frequency, `omega=1/sqrt(LC)` .
`therefore` Maximum current through the circuit
`=E/(omegaL)=E/(1/sqrt(LC))=E.sqrt(C/L)`
or, `E/(1//omegaC)=EomegaC=E1/sqrt(LC)C=Esqrt(C/L)`
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