A 149 turn 149 turn circular coil of radius 2.15 cm 2.15 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. Over an interval of 0.165 s 0.165 s, the magnetic field strength increases from 50.5 mT 50.5 mT to 95.5 mT 95.5 mT. Find the magnitude of the average emf E avg Eavg induced in the coil during this tim

Question

Landin Bender

Physics

16 January, 12:58

A 149 turn 149 turn circular coil of radius 2.15 cm 2.15 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. Over an interval of 0.165 s 0.165 s, the magnetic field strength increases from 50.5 mT 50.5 mT to 95.5 mT 95.5 mT. Find the magnitude of the average emf E avg Eavg induced in the coil during this tim

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Willow Vincent · Answer 1

number of turns, N = 149

radius, r = 2.15 cm

Area, A = πr² = 3.14 x 2.15 x 2.15 x 10^-4 = 1.45 x 10^-3 m^2

Change in magnetic field, ΔB = 95.5 - 50.5 = 45 mT = 45 x 10^-3 T

time, Δt = 0.165 second

induced emf

e = N x dФ/dt

where, dФ be the change in flux.

e = N x A x ΔB/Δt

e = 149 x 1.45 x 10^-3 x 45 x 10^-3 / 0.165

e = 0.058 V