Question

A rectangular coil of N = 123 turns and resistance R = 31?, moves at a constant speed V= 14 m/s from a region with no magnetic field into a region with a magnetic field B= 0.79 T, That points into the page. The dimensions of the coil are a = 0.27 m by b = 0.14 m. While the coil straddles the boundary between the two regions, A. What is the magnitude of the induced emf, epsilon ? What is the induced current, I ? What is the direction of the induced current?

Answer 1

B = magnetic field = 0.79 T

length = a = 0.27 m

width = b = 0.14 m

resistance = R = 31 ohm

number of turns = N = 123

speed = v = 14 m/s

a) induced emf is given as :::

E = NBb V                   

E = (123)(0.79) (0.14) (14)

E = 190.5 volts

b)

induced current is given as ::

i = induced emf/resistance

i = E/R = 190.5 / 31

i = 6.15 A

c) Using right hand rule , the direction of magnetic field comes out to be counterclockwise