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 . 032 Ts - 1 . The induced current in the loop is close to (Resistivity of the metal wire is 1 . 23 × 10 - 8 Ωm )

Question

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 . 032 Ts - 1 . The induced current in the loop is close to (Resistivity of the metal wire is 1 . 23 × 10 - 8 Ωm ), 0.43 A, 0.61 A, 0.34 A, 0.53 A

MARKS App · Accepted Answer

Radius = d / 2 = 2 mm R wire = ρ l A ϕ = BA ; e = dϕ dt = dB dt A i = e R = dB dt A 2 ρ l = 0 . 032 × π × 2 × 10 - 3 2 1 . 23 × 10 - 8 × 4 × 0 . 3 = 0 . 61 A

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