Electromagnetic Induction

Problem 189: A 6.0 H coil whose resistance is 12 ohms is connected in series with a 24 ohms resistor and to a 144 V battery and a switch. The switch is closed at t = 0. Determine the energy stored in the magnetic field at steady state.

Problem 190: Two coils having self-inductance and mutual inductance of 3H, 2H and 1H respectively are connected in series. If a current of 4 A is passed through the coil, evaluate the ratio of the energy stored in the magnetic field when the fluxes (self and mutual) are in the same direction to the energy stored when the said fluxes are against each other.

Problem 191: Two coils of inductances 4 and 6 henry are connected in parallel. If their mutual inductance is 3 henry, calculate the equivalent inductance of the combination if mutual inductance assist and if mutual inductance opposes the self-inductance respectively.

Problem 192: A 50-mH inductor is charged to store 1 J of energy. If an uncharged 30-mH inductor is then connected across its terminals, how much energy is transferred to the second inductor?

Problem 193: A solenoid 500 cm long and 10 cm in diameter is wound with 1500 turns. Find the energy stored in the magnetic field when a current of 5 A flows.

Problem 194: A coil of 250 turns is wound on a closed iron ring whose cross sectional area is \(20\,cm^2\) and mean length of 100 cm. Determine the energy stored in the magnetic field if a current of 2 A is passed through it. Assume the permeability of iron is 900.

Two coils of inductance 8 H and 10 H are connected in parallel. If their mutual inductance is 4H, determine the equivalent inductance of the combination if mutual inductance assists the self- inductance.

Coil 1 of a pair of coupled coils has a continuous current of 5 A, and the corresponding fluxes \(\Phi_{11}\) and \(\Phi_{12}\) are 0.2 and 0.4 mWb, respectively. Find the coupling coefficient k.

A coil of inductance 8 mH produces 80 μWb of magnetic flux. Of this total flux, 60 μWb are linked to a second coil of inductance 2 mH. How much is the mutual inductance between the coils?

Two inductors of 20 mH and 10 mH are connected in series carrying a current of 1 A. Find the stored energy.

When one coil of a magnetically coupled pair has a current of 5 A, the resulting fluxes \(\phi_{11}\) and \(\phi_{12}\) are 0.4 and 0.8 mWb, respectively. If the turns are \(N_1\) = 500 and \(N_2\) = 1,500, find \(L_2\).

A solenoid 500 cm long and 10 cm in diameter is wound with 1,500 turn. Find the energy stored in the magnetic field when a current of a 5 A flows.

A coil of inductance 8 mH produces 80 μWb of magnetic flux. Of this total flux, 60 μWb are linked to a second coil of inductance 2 mH. How much is the mutual inductance between the coils?

An inductance of 8 mH is in series with the parallel combination of 3 mH and 6 mH. What is the equivalent inductance ?

When one coil of a magnetically coupled pair has a current of 5 A, the resulting fluxes \(\phi_{11}\) and \(\phi_{12}\) are 0.4 and 0.8 mWb, respectively. If the turns are \(N_1\) = 500 and \(N_2\) = 1,500, find M.

A coil of 50 turns having a mean diameter of 3 cm is placed coaxially at the center of a solenoid 60 cm long wound with 2,500 turns and carrying a current of 2 A. What is the mutual inductance of the arrangement?

Calculate the self-inductance of an air-cored solenoid, 40cm long having an area of cross-section 20cm² and 800 turns.

A 20 mH inductor draws a current of \(i(t) = 100\sin 100t\). Find the voltage equation.

A piece of conductor 10 cm long moves across a magnetic field of 10,000 gauss at a velocity of 120 cm/sec. What voltage appears across the conductor?

On triling the number of turns of a coil the inductance