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AB is a resistanceless conducting rod wh...

`AB` is a resistanceless conducting rod which forms a diameter of a conducting ring of radius `r` rotating in a uniform magnetic field `B` as shown in figure. The resistance `R_(1)` and `R_(2)` do not rotate. Then the current through the resistor `R_(1)` is

A

`(B omega r^(2))/(2R_(1))`

B

`(B omega r^(2))/(2R_(2))`

C

`(B omega r^(2))/(2R_(1)R_(2))(R_(1)+R_(2))`

D

`(B omega r^(2))/(2(R_(2)+R_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
The equivalent diagram is

The induced emf across the centre and any point on the circumference is
`|vec(e)| = (1)/(2)B omega l^(2) = (B omega r^(2))/(2)`
`:.` current through `R_(1) = (B omega r^(2))/(2 R_(1))`
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Knowledge Check

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    D
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