A long straight wire is parallel to one edge as shown in figure. If the current in the long wire varies in time as i=I0e−t/τ, what will be the induced emf in the loop ?
A
μ0biπτln(d+ad)
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B
μ0bi2πτln(d+ad)
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C
2μ0biπτln(d+ad)
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D
μ0biπτln(dd+a)
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Solution
The correct option is Bμ0bi2πτln(d+ad) ∫dϕ=∫a+ddμ0i2πx.b.dx ϕ=μ0ib2πln(d+aa) ε=−dϕdt=μ0bi2πτln(d+ad)