How Does a Capacitor's Energy Change Over Time?

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After a long time with the switch ON, the current in the circuit is zero because the capacitor is fully charged. The energy stored in the capacitor can be calculated using the formula U = 1/2 CV^2. Once the capacitor is connected to a resistor, the energy will eventually drop to zero as the capacitor discharges. The energy that was stored in the capacitor is converted into heat during the discharge process. The responses provided align with the principles of capacitor behavior in circuits.
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Homework Statement


q5.jpg

Questions 1-2:
Switch is ON and left for a very long time.
1) current in circuit after this time
2) energy in capacitor after this time

Questions 3-4:
Capacitor then hooked up to resistor.
3)Energy after another long time.
4)What happens to the energy that was in the capacitor before it was hooked up to the resistor.

Homework Equations


U = 1/2 CV^2

The Attempt at a Solution


1) current is 0 because after the capacitor is fully charged no current flows
2)just solve using U=1/2CV^2
3)Energy = 0 because capacitor would be discharged
4)energy goes into heat

I'm not sure about all these answers... can someone let me know if my thought process is correct? Thanks for any help!
 
Last edited:
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Looks okay to me.
 
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