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A voltmeter has a range O - V with a ser...

A voltmeter has a range `O - V` with a series resistance `R`. With a series resistance `2R`, the range is `O - V`. The correct relation between `V` and `V'`is

A

V'= 2V

B

`V' gt 2V`

C

`V' gt gt 2V`

D

`V' lt 2 V`

Text Solution

Verified by Experts

The correct Answer is:
D
`V = (R + G)i_(g)`
`V^(.) =(2R + G)i_(g)`
`rArr V/V^(.) =(R + G)/(2R + G) rArr V^(.)/V =(2(R +G)-G)/(R + G)`
`= 2- G/(R +G)`
`rArr V^(.) = 2V - (GV)/(R + G)`
`rArr V. lt 2V`
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