Q.
A thin semicircular conducting ring (PQR) of radius r is falling with its plane vertical in a horizontal magnetic field B, as shown in the figure. The potential difference developed across the ring when its speed ν, is
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a
zero
b
Bvπr22 and P is at higher potential
c
πrBν and R is a higher potential
d
2rBv and R is at higher potential
answer is D.
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Detailed Solution
Motional emf induced in the semicircular ring PQR is equivalent to the motional emf induced in the imaginary conductor PR. i.e., εPQR=εPR=Bvl=Bv(2r) (l= PR = 2r)Therefore, potential difference developed across the ring is 2rBv with R is at highe rpotential.
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