Question

Suppose a power line produces a 5.1×10⁻⁴-T peak magnetic field 60 times each second at the location of a neuron brain cell of radius 6.0 ×10−6 m.

Determine the maximum magnitude of the induced emf around the perimeter of this cell during one-half cycle of magnetic field change.

Answer 1

Flux = B.A

E = d(flux)/dt

E = dB/dt * A

E = 5.1*10^-4 * 60 * $\pi$ * r²

E = 5.1*10^-4 * 60 * $\pi$ * (6*10^-6)²

E = 3.46 * 10^-12 V​