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The figure shows a portion of a circuit....

The figure shows a portion of a circuit. Resistor are known and indicated on diagram and voltmeter are identical. If voltmeters `v_(1)` and `v_(2)` reads `7.5v` and `5v` respecticely then reading of `v_(3)`

A

`0v`

B

`10v`

C

`2.5v`

D

`3.0v`

Text Solution

Verified by Experts

The correct Answer is:
D
since voltmeter are indentical

`(I_(1))/(I_(2))=(3)/(2)` let `I_(2)=x I_(1)=(3)/(2)x`
`9xx(3)/(2)x-14x+5-7.5=0`
`x=-5.0A=I_(2)`
`-7.5A=I_(1)`
`(27x-28x)/(2)=2.5`
Hence resistance of Voltemeter is `1Omega`
`25I_(3) = -7.5xx9 = -75`
`I_(3) = -3A`
Hence `V_(3)=3.0V`
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