Question

a. A coil of wire with 209 circular turns of radius 3.10 cm is in a uniform magnetic field along the axis of the coil. The coil has R = 41.5 Ω . At what rate, in teslas per second, must the magnetic field be changing to induce a current of 0.149 A in the coil?

b. A closely wound rectangular coil of 90.0 turns has dimensions of 30.0 cm by 47.0 cm . The plane of the coil is rotated from a position where it makes an angle of 30.0 ∘ with a magnetic field of 1.50 T to a position perpendicular to the field. The rotation takes 8.00×10⁻² s .What is the average emf induced in the coil?

c. A toroidal solenoid has a mean radius of 18.0 cm and a cross-sectional area of 5.00 cm2 and is wound uniformly with 120 turns. A second coil with 490 turns is wound uniformly on top of the first. What is the mutual inductance of these coils?

d. At the instant when the current in an inductor is increasing at a rate of  7.00×10⁻² A/s , the magnitude of the self-induced emf is 2.80×10⁻² V . What is the inductance of the inductor?

e. 8.89H is the self-inductance of a solenoid that stores 10.0 J of energy when a 1.50 A current runs through it. If this solenoid's cross-sectional diameter is 3.80 cm , and if you could wrap its coils to a density of 10 coils/mm , how long would the solenoid be?

Answer 1