A coil of wire with 300. circular turns of radius 5.00 cm is in a uniform magnet

Question

A coil of wire with 300. circular turns of radius 5.00 cm is in a uniform magnetic field along the axis of the coil. The resistance is 60.0 O. At what rate, in teslas per second, must the magnetic field be changing to induce a current of 0.250 A in the coil?

1.00 T/s

5.73 T/s

20.0 T/s

6.37 T/s

A coil of wire with 300. circular turns of radius 5.00 cm is in a uniform magnetic field along the axis of the coil. The resistance is 60.0 O. At what rate, in teslas per second, must the magnetic field be changing to induce a current of 0.250 A in the coil?

1.00 T/s

5.73 T/s

20.0 T/s

6.37 T/s

Explanation / Answer

here,

number of turns . n = 300 turns

radius , r = 5 cm

r = 0.05 m

resistance , r = 60 ohm

current , I = 0.25 A

let the rate of change of magnetic feild be B

Emf induced = n * B*area

60 * 0.25 = 300 * B * pi* 0.05^2

B = 6.37 T/s

the rate at which the magnetic feild is changing is 6.37 T

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