Problem #0090 Electricity & Magnetism Sub-menu Problem #0092 Chapters Chapters

361.

Problem 31.3 (RHK)

The capacitor shown in the figure has a capacitance of and is initially uncharged. The battery supplies 125 V. We have to calculate the amount of charge that will have passed through the battery B, after switch S has been closed for a long time.

Solution:             Click For PDF Version

It is given that a capacitor of capacitance is initially uncharged. It is connected to a 125 V battery. After the switch has been closed and steady state has been achieved the amount of charge on the plates of the capacitor would be q, and . This implies that a charge of amount q would have moved from the plate of the connected with the -ve terminal of the battery and through the battery to the plate connected with the +ve terminal of the battery. From the definition of capacitance