Square coil with l = 0.25 m is placed perpendicularly in a uniform magnetic field that change at a rate of db/dt = - 0.04 t/s. (a) what is the magnitude of induced emf in the circuit? (b) what is the induced current in the circuit if the coil resistance is 5 ?

The magnitude of induced emf in the circuit is 0.0025 V

the coil resistance is 5 Ω is 0.0005 A

Explanation:

The length of coil l = 0.25 m

The flux by Faraday's Law Φ = B A

where

B = magnetic field (T)

A = Area ()

induced emf in the circuit (ε)

ε =  - dΦ/dt

    = - A dB/dt

    = dB/dt

    = (-0.04)

    = 0.0025 V

The induced current with 5 Ω of resistance

I = ε/R

where

I = current (A)

R = Resistance (Ω)

thus,

I = (0.0025)/5

 = 0.0005 A

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6