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A metal rod of resistance 20 Omega is fi...

A metal rod of resistance 20 `Omega` is fixed along a diameter of a conducting ring of radius 0.1m and lies on x-y plane. There is a magnetic field `B =(50T)hatk`. The ring rotates with an angular velocity `omega=20 rad //s` about its axis. An external resistance of 10 `Omega` is connected across the centre of the ring and rim. The current through external resistance is

Text Solution

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The equivalent circuit is
`e=(1)/(2)Bl^(2) omega =(1)/(2) xx 50 xx 0.1 xx 0.1 xx 20`,
`:.` e = 5 V
Hence the current through the external resistance is
`i=(e)/(R)" ":. i=(5)/(15)=(1)/(3)` amp
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