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In the circuit shown in the figure, the ...

In the circuit shown in the figure, the ideal ammeter reading for current is taken
(`a`) with both switches open
(`b`) with both switches closed.
The readings are same in the cases. The value of resistance `R` is

A

`2Omega`

B

`3Omega`

C

`4.5 Omega`

D

`7.5 Omega`

Text Solution

Verified by Experts

When both switches are open, then reading of ammeter is `24//3=3A`
When both switches are closed.
`V_(AB)=9VrArrV_(HG)=15rArr` So current through `R` is `2A`.
Hence `R=9//2=4.5Omega`
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