Question

Heat generated in the circuit when switch is shifted from 1 to 2 is

Answer 1

Given :

circuit is changed from switch 1 to 2

To Find :

Heat generated

Step by Step Explanation:

charge on capacitor ( position 1 ) $q_1$ $=$ C ( $V_1$ $-$$V_2$ )

charge on capacitor ( position 2 ) $q_2$ $=$ C ( $V_1$ )

Δq $=$ $q_1 - q_2$

heat energy $=$ C$v_1v_2$ $-$ $\frac{1}{2}$ C $v_1^{2}$ $+ \frac{1}{2}$ C  $(v_1 - v_2)^{2}$

                    $=$ $\frac{1}{2} (C v_2)^{2}$

After the switch is thrown to position 2, the fees changes. A charge q0 has flown within the right loop through the 2 condensers and a charge q0 through the cell, due to the symmetry of the matter there's no change within the energy stored within the condensers.

heat produced $=$ energy of the circuit