Answer to Question #344078 in Electricity and Magnetism for Sophie

Question

A flexible rectangular coil of wire with 150 loops is stretched in such a way that its dimension changes from 5 cm x 8 cm to 7 cm x 11 cm in 0.15 s in a magnetic field of 25T that is 30 degrees relative to the plane of the coil.

a. Calculate the induced EMF

Show full solution:

Given:

Solution:

Answer 1

$\varepsilon=\frac{n∆SB\cos\alpha}t,$

$∆S=S_2-S_1=cd-ab,$

$ε= \frac{ n(cd-ab)Bcosα}t ​ =46.3 ~V.$