A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal…

A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4 mm and a total length of 30 cm. The magnetic field changes with time at a steady rate dB/dt=0.032Ts-1. The induced current in the loopis close to (Resistivity of the metal wire is 1.23×10-8 Ωm )
  1. 0.43 A
  2. 0.61 A
  3. 0.34 A
  4. 0.53 A

Solution

Radius =d/2=2 mm

Rwire=ρlA

ϕ=BA ; e=dϕdt=dBdtA

i=eR=dBdtA2ρl=0.032×π×2×10-321.23×10-8×4×0.3

=0.61 A

Asked in: JEE Main 2020 (03 Sep Shift 2)

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