Using Faraday’s law of electromagnetic induction, derive an equation for motional emf.

Show that the total energy is constant druing LC oscillations.

Derive a relation between mean or average value of AC and its peak value.

Derive an expression for the RMS value of AC.

Define RMS value of AC. Derive a relation between RMS value of AC voltage & maximum voltage.

Define Power in AC circuits? Derive an relation between true power & virtual power?

Straight in LC oscillations, the sum of energies stored in capacitor & the inductors is constant in time.

Explain the mechanical analogy of LC oscillations by quantitative treatment.

Write the analogies between electrical and mechanical quantities

Obtain an expression for angular frequency of LC oscillations?

Explain the mutual induction between two long solenoids. Obtain an expression for the mutual inductance.

Explain how power can be transmitted efficiently to long distance.

In an a.c circuit R = 4Ω; z = 5Ω, V_rms = 200V and I_rms = 1.5A calculate the average power consumed over a full cycle.

In a LCR circuit, the voltage across an inductor, capacitor and resistance are 10V, 10V and 30V respectively, what is the phase difference between the applied voltage and the current in the circuit?

The instantaneous current and voltage of an a.c circuit are given by i = 10 sin 314t A and V = 50 sin (314t + π/2)V. What is the power dissipation in the circuit?