Question

A single loop of wire with an area of 0.0900 m^2 is in a uniform magnetic field that has an initial value of 3.80 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.160 T/s.

Reqiured:
a. What emf is induced in this loop?
b. If the loop has a resistance of 0.600Ω, find the current induced in the loop.

Answer 1

a)
`E=0.0144`

b)
`I=0.024A`

Step-by-step explanation:

From the question we are told that:

Area
`A=0.09m^2`

Magnetic Field
`B=3.80T`

Rate
`(dB)/(dt)=0.160T/s`

Generally the equation for EmF E is mathematically given by

`E=-A(dB)/(dt)`

`E=-(0.0900*0.160)`

`E=0.0144`

b)

at Resistance R=0.60

Generally the equation for Current I is mathematically given by

`E=IR`

`I=(0.0144)/(0.600)`

`I=0.024A`