A toroidal solenoid has a magnitude of induced emf of 10.3 [mV] when the rate of change of the current is 0.0250 [A/s]. How many turns does it have if the average flux through each turn is 0.00145 [Wb] when the current is 1.12 [A]?

A solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x 103. (a) If a cent of 2.0 A flows through the solenoid, what is the magnetic field in the iron core? (b) What is the effective surface current formed by the aligned atomic current loops in the iron core? (c) What is the self-inductance of the filled solenoid?

A toroidal coil has a mean radius of 16 cm and a cross-sectional area of 0.25 cm2; it is wound uniformly with 1000 turns. A second toroidal coil of 750 turns is wound uniformly over the first coil. Ignoring the variation of the magnetic field within a toroid, determine the mutual inductance of the two coils.

Suppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility is x. Using Equation 14.9, show that the self-inductance of the solenoid is given by L=(l+x)+0n2Al where l is its length, A its cross-sectional area and N its total number of turns. Nm=U

A long, cylindrical solenoid with 100 turns per centimeter has a radius of 18.7 cm. If the current through the solenoid changes at the rate 6.68 A/s, what is the emf induced per unit length along the axis of the solenoid?

A long, straight solenoid has 800 turns. When the current in the solenoid is 2.90 A, the average flux through each turn of the solenoid is 3.25 x 10-3 Wb. What must be the magnitude of the rate of change of the current in order for the self-induced emf to equal 6.20 mV?

A 2.50 mH toroidal solenoid has an average radius of 6.00 cm and a cross-sectional area of 2.00 cm2 . (a) How many coils does it have?  (b) At what rate must the current through it change so that a potential difference of 2.00 V is developed across its ends?

Two coils are placed close together in a physics lab to demonstrate Faraday's law of induction. A current of 9.00 A in one is switched off in 1.60 ms, inducing a 6.00 V emf in the other. What is their mutual inductance (in mH)?

An average voltage of 10 V is induced in a 250 turn solenoid due to a change in flux that occurs in 0.5 seconds. The total flux change is

Design a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf ε = ε0 sin ωt, where ε0 = 110 V and ω = 120π rad/s.