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In the given circuit, an ideal voltmeter...

In the given circuit, an ideal voltmeter connected across the `10Omega` resistance reads 2V. The internal resistance r, of each cell is:

A

`1Omega`

B

`0.5Omega`

C

`0Omega`

D

`1.5Omega`

Text Solution

Verified by Experts

Current through battery
`i=(1.5+1.5)/((15 times 10)/(15+10)+2+2r)) therefore` Current through `10Omega` resistor
`i_(10 Omega) =15/(15+10) times i=3/5 times I therefore` voltage across `10Omega` resistor `=(3/5 i) times 10=2` (Given)
`implies 3/5 times (3 times 10)/((6+2+2r))=2 implies (8+2r)=90/10=9 implies r=1/2=0.5Omega`
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