1) A capacitor with a capacitance of C that is initially uncharged is connected

Question

1) A capacitor with a capacitance of C that is initially uncharged is connected in series with a resistor with a resistance of R and an EMF source with negligible internal resistance which provides an EMF of E.

A) A long time after the circuit is completed (after many time constants) what is the voltage drop across the resistor?

B) A long time after the circuit is completed (after many time constants) what is the voltage drop across the capacitor?

C) A long time after the circuit is completed (after many time constants) what is the charge on the capacitor?

D) A long time after the circuit is completed (after many time constants) what is the current through the resistor?

Explanation / Answer

a) after many time constants almost total votage drops at capacitors so voltage drop across the resistor is zero

that is Er = 0

b) so total voltage drop across the capacitor after a long time is E only.

c) from the equation q = cE

so total charge stored on the capacitor mainly depends on the emf across the capacitor

d) Again, capacitor acts line a break or a giant resistor, using ohm’s law with R = infinity , so current I = 0

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