(a) Show that an ideal conductor does not dissipate power in an a.c. circuit.
(b) The variation of inductive reactance (XL) of an inductor with the frequency (f) of the a.c. source of 100V and variable frequency is shown in the figure.
(i) Calculate the self-inductance of the inductor.
(ii) When this inductor is used in series with a capacitor of unknown value and a resistor of 10Q at 300 s−1, maximum power dissipation occurs in the circuit. Calculate the capacitance of the capacitor.
OR
(a) A conductor of length ' l ' is rotated about one of its ends at a constant angular speed ' ω ' in a plane perpendicular to a uniform magnetic field B. Plot graphs to show variations of the emf induced across the IP variations of the emf induced across the ends of the conductor with (i) angular speed ω and (ii) length of the conductor l.
(b) Two concentric circular loops of radii 1‌cm and 20‌cm are placed coaxially.
(i) Find mutual inductance of the arrangement.
(ii) If the current passed through the outer loop is changed at a rate of 5 A∕ms, find the emf induced in the inner loop. Assume the magnetic field on the inner loop to be uniform.