Question

A circuit containing a two position switch S is shown in Figure.

(a) The switch S is in two position 1. Find the potential difference V_A − V_B and the rate production of joule heat in R₁. 

(b) If Now The switch S is put in position 2 at t = 0. Find: (i) Steady current in R₄ and (ii) The time when current in R₄ is half the steady value. Also calculate the energy stored in the inductor L at that time.

Answer 1

In steady state no current will flow through capacitor. Applying Kirchhoff’s second law in loop 1:

Applying Kirchhoff’s second law in loop 2:

Solving Equations (i) and (ii), we get

(b) In position 2: Circuit is as under

Time when current in R₄ is half the steady value