How much energy is dissipated by the 25 ohm resistor?

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SUMMARY

The energy dissipated by a 25 ohm resistor in a circuit with a 0.25 x 10^-6 F capacitor charged to 50V can be calculated using the energy stored in the capacitor. The initial energy stored in the capacitor is U = 1/2 * C * V^2, which results in U = 0.00000625 J. Since the resistors are in series, the energy is divided between the 25 ohm and 100 ohm resistors based on their resistance values. The energy dissipated by the 25 ohm resistor is therefore 0.0000025 J.

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Question:

A 0.25 x 10^-6 F capacitor is charged to 50V. It is then connected in series with a 25 ohm resistor and a 100 ohm resistor and alowed to discharge completely. How much energy is dissipated by the 25 ohm resistor ?


Attempt:

I found a formula in the textbook related to this question:

The resistors dissipate energy at the rate:

PR = I^2R = (Delta V)^2 / R


I don't know what to do next ... and if I'm using the right formula. Please somebody help.:confused: :confused: :confused:
 
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ok... conservation of energy
ask yourself, how much energy was stored in capacitor initially, then how do u think the energy are dissipated between the 25 and 100 ohm resistor? remember everything is in series... and you already have P=I^2 R
 
mjsd said:
ok... conservation of energy
ask yourself, how much energy was stored in capacitor initially, then how do u think the energy are dissipated between the 25 and 100 ohm resistor? remember everything is in series... and you already have P=I^2 R

Hi, Do you calculate the energy by this formula;

Q=CV
Q= (0.25 * 10^-6) ( 50)
Q = 0.0000125 C
 
ada15 said:
Hi, Do you calculate the energy by this formula;

Q=CV
Q= (0.25 * 10^-6) ( 50)
Q = 0.0000125 C

Your Q means "charge" not energy

formula for energy stored in a capacitor is given in most books or can easily googled...
\displaymath{U = \frac{1}{2}CV^2}
 

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