( )A What is the battery current after a long time? ( )A What are the final char

Question

( )A

What is the battery current after a long time?

( )A

What are the final charges on the capacitor C1?

( )C

What are the final charges on the capacitor C2?

( )C

The capacitors in the circuit in the figure are initially uncharged. C1 = 13 mu F, C2 = 13 mu F, R1 = 13 Ohm , R2 = 13 Ohm , R3 = 13 Ohm , R4 = 13 Ohm , and V = 56V. What is the initial value of the battery current when the switch is closed? What is the battery current after a long time? What are the final charges on the capacitor C1? What are the final charges on the capacitor C2?

Explanation / Answer

In the beginning, current passing through the capacitors would help it to charge, hence a complete circuit can only be formed for current passing through the resistors R1, R2, R3 and R4.

Thus the current I = 56/(13+13+13+13) = 14/13 amperes

After a long time, the capacitors are completely charged and would not hinder the current from passing through it. hence, the potential difference across each capacitor would be V = Q/C.

then form equations of loops and find the values of current passing through the circuit after a long time, and also the values of the charges on C1 and C2.

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