Q. 1. (a) What are scalar and vector fields ? Give examples of each. What are solenoidal fields? Why divergence of a magnetic field vector is zero ?
(b) Get expression for vector triple product of three vectors.
(c ) Prove that : Image no.3
Q. 2. (a) Discuss the resonance behaviour of L-C-R circuit in a.c. in detail. 4
(b) Get expression for power in a.c. for an inductive circuit.
Q. 3. (a) State and explain Biot-Savart’s law. Get magnetic field expression on the axis of a circular coil carrying current.
(b) State Ampere’s law. Get expression for force between two parallel current carrying wires. Hence define an Ampere.
Q. 4. (a) Discuss charging and discharging of C-R circuit.
(b) If C= 1, µF; L = 0.2 henry and R = 800 Ω, is the circuit oscillatory ?
Q. 5. Define coefficient of self-inductance in terms of flux, current and work done. Get expression for self inductance of:
(a) Endless solenoid; and
(b) Long solenoid.
Give a method for finding L of a circuit.
Q. 6. Define electric field intensity and electric potential. Get relation between them. Get expression for electric potential on the axis of a uniformly charged circular disc.
Q. 7. (a) Discuss various factors leading to damping of moving coil ballistic galvanometer.
(b) Explain energy loss per cycle of magnetisation.