A wire that is 0.36 meters long moves perpendicularly through a magnetic field at a speed of 0.21 meters/second. The induced emf produced in the wire is 0.45 volts. What is the magnetic field strength?

Verified Answer :

0.034 newtons/ampĀ·meter

Answer:

Magnetic field strength, B = 5.95 Tesla

Explanation:

It is given that,

Length of wire, l = 0.36 m

It is moving perpendicularly through a magnetic field at a speed of, v = 0.21 m/s

Induced emf, E = 0.45 volts

The mathematical expression for induced emf is given by :

\(E=\dfrac{d\phi}{dt}=Blv\)

\(\dfrac{d\phi}{dt}\) is the rate of change of magnetic flux,

B is magnetic field

So, \(B=\dfrac{E}{lv}\)

\(B=\dfrac{0.45}{0.36\times 0.21}\)

B = 5.95 Tesla

Hence, this is the required solution.