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A magnetic field directed into the page changes with time according to B = (0.0700t2 +...

A magnetic field directed into the page changes with time according to B = (0.0700t2 + 1.40) T, where t is in seconds. The field has a circular cross-section of radius R = 2.50 cm (see Fig. P31.32).

p31-32.gif
Figure P31.32

What are the magnitude and direction of the electric field at point P1 when t = 4.10 s and r1 = 0.0200 m?

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Answer #1

Given,

Magnetic field, B = (0.0700 t^2 + 1.40)

dB/dt = 0.14 t

Electric field, E = - (r1/2) (dB/dt)

E = - (0.14 t) x 0.02/2

E = 0.14 x 4.10 x 0.02/2 = 5.74 x 10^-3 N/C

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