A magnetic field of flux density 10 T acts normally to the coil 50 turns having 100 cm² area.Find emf induced if the coil is removed from the magnetic field in 0.15 s.

Calculate the value of capacity in picofarad, which will make 101.4\(\mu H\) inductance to oscillate with the frequency of 1MHz.

A \(2㎌\) capacitor, \(100 \ \Omega \) resistor and 8 H inductor are connected in series with an AC source. What should be the frequency of source for which the current drawn in the circuit is maximum?
If peak value of emf of source is 200 V, find the maximum current, inductive reactance, capacitive reactance, total impedance, peak value of current in the circuit.

In the L-C-R circuit, shown in the figure, the AC driving voltage is V = V_m sin \(\omega\)t.
(i) Write down the equation of motion for q(t) .
(ii) At t = t₀, the voltage source stops and R is short circuited. Now, write down how much energy is stored in each of L and C.
(iii) Describe subsequent motion of charges.

1 MW power is to be delivered from a power station to a town 10 km away. One uses a pair of Cu wires of radius 0.5 cm for this purpose. Calculate the fraction of ohmic losses to power transmitted, if
(i) power is ttansmitted at 220 V. Comment on the feasibility of doing this.
(ii) a step-up transformer is used to boost the. voltage at 11000 V, power transmitted, then a step-up transformer is used to bring voltage is 220 V.(Take, P_Cu = 1.7 x 10^-8 SI unit)