A 60-turn coil with a diameter of 6.00 cm is placed in a constant, uniform magne

Question

A 60-turn coil with a diameter of 6.00 cm is placed in a constant, uniform magnetic field of 1.00 T directed perpendicular to the plane of the coil. Beginning at time t = 0 s, the field is increased at a uniform rate until it reaches 1.30 T at t = 10.0 s. The field remains constant thereafter.

What is the magnitude of the induced emf in the coil at t < 0 s? (Express your answer to two significant figures.)

What is the magnitude of the induced emf in the coil at t = 5.00 s? (Express your answer to two significant figures.)

What is the magnitude of the induced emf in the coil at t > 10.0 s? (Express your answer to two significant figures.)

Explanation / Answer

formula for induced emf in the coil is

E = NA dB/ dt

= N pi r^2 dB/ dt

= 60 * pi (3.0 * 10^-2)^2 ( 1.3-1.0)/tf- ti

at t<o the fild in not changed so E = 0 V

at time t= 5 s

E = 60 * pi (3.0 * 10^-2)^2 ( 1.3-1.0)/5.0- 0

=1.01 * 10^-2 V

at time t>10 s

filed remains constant so there is no induced emf

E = 0 V

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.