Question

The connection shown in figure are established with the switch S open. How much charge will flow through the switch if it is closed? 

Answer 1

This will be divided equally, as the capacitor are

When the switch S is closed as shown in the figure (b), then the charges stored across positive plates capacitors 1 and be Q₁ and Q₂ . The same charges will be distributed across negative plates of capacitor 3 and 4. Let the potential at the negative terminal is zero, then the charges across capacirots 1, 2, 3 and 4 will be 

Thus from (i) and (iii) V₀ = 12V and thus the charges be 

 

Thus when switch is zero, 12µF charge is passed through the switch.