Question

The magnetic flux that passes through one turn of a 8-turn coil of wire changes to 5.0 Wb from 8.0 Wb in a time of 0.098 s. The average induced current in the coil is 140 A. What is the resistance of the wire

Answer 1

Resistance is 1.75 ohms

Step-by-step explanation:

Magnetic flux:

`{ \phi{ = NBA}}`

N is number of turns, N = 8

B is magnetic flux

A is area of projection.

From faradays law:

`E = - ( \triangle \phi)/(t)`

where E is the Electro motive force.

But E = IR

where I is current and R is resistance:

`IR = (( \phi_(1) - \phi _(2)) )/(t) \\ \\ 140 * R = (8 * (8 - 5))/(0.098) \\ \\ R = (24)/(0.098 * 140) \\ \\ resistance = 1.75 \: ohms`