Q55 / 75 · JEE Main 2020 (03 Sep Shift 2) · Physics

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 )

  • A
    0.43 A
  • Correct answer
    B
    0.61 A
  • C
    0.34 A
  • D
    0.53 A

Solution

Figure

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

Hence, the correct answer is option: 'B'.

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