A planar loop consisting of four turns of wire, each of which encloses 200 cm2, is oriented perpendicularly to a magnetic field that increases uniformly in magnitude from 10 mT to 25 mT in a time of 5.0 ms. What is the resulting induced current in the coil if the resistance of the coil is 5.0  ?

Question

Physics

Braeden Wheeler

3 August, 14:34

A planar loop consisting of four turns of wire, each of which encloses 200 cm2, is oriented perpendicularly to a magnetic field that increases uniformly in magnitude from 10 mT to 25 mT in a time of 5.0 ms. What is the resulting induced current in the coil if the resistance of the coil is 5.0  ?

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Answers (1)

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Jonathan Hanna · Answer 1

0.6A

Explanation:

Area of loop = 200cm2 = 200 x10 ∧-4m∧2 Change in Magnetic field (B) = 25mT - 10mT = 15mT time = 5ms

From Faraday' s law of induction EMF (E) = change in magnetic field/time

E = 15mT/5ms

Note, that one weber per second is equivalent to one volt.

= 3V

from Ohm's law I = E/R

=3/5 = 0.6A