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The circuit shown in the figure consists...

The circuit shown in the figure consists of two resistances `R_(1) & R_(2)` connected to two ideal voltmetres `V_(1)&V_(2)`. Assume that a voltmeter reads `DeltaV=-int_(a)^(b)vecE.dvecl` between its terminlas. A time - varying magnetic field `B(t)=B_(0)t` (where `B_(0)` is a positive contant of proper dimensions and t is time) exists in a circular region of radius a and it is directed into the plane of the figure. The reading of voltmeter `V_(2)` is

A

`(pia^(2)B_(0)R_(1))/(R_(1)+R_(2))`

B

`-(pia^(2)B_(0)R_(2))/(R_(1)+R_(2))`

C

`-(pia^(2)B_(0)R_(1))/(R_(1)+R_(2))`

D

`(pia^(2)B_(0)R_(2))/(R_(1)+R_(2))`

Text Solution

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The correct Answer is:
B
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