ElectroMagnetic InductionHard

Question

A current i = 3.36 (1 + 2t) × 10-2 A increases at a steady rate in a loop straight wire. A very small circuler loop of radius 10-3m has its plane parallel to the wire and is placed at a distance of 1 m of wire. The induced emf in loop is :
         

Options

A.134.4 π × 10-15 V
B.13.44 π × 10-15 V
C.1.344 π × 10-15 V
D.0.1344 π × 10-15 V

Solution

Field due to wire at centre of loop
B = (treated to be uniform because loop is very small)
flux through the loop
φ = BA
= (πr2)
Induced emf in loop
|e| =
=
= .(6 72 ×10-2)
= 13.44 π × 10-15V

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