8614smith
Nov3-09, 11:45 AM
1. The problem statement, all variables and given/known data
An electrical circuit is at temperature T and contains a capacitor with capacitance C = Q/U. The energy to charge a capacitor is given by Ec[SUB] = 1/2C . Q2, the charge Q plays the role of a ‘generalized position’. Using the equipartition-theorem, determine the average voltage fluctuations U[SUB]rms = (<U2>)1/2 across the capacitor.
2. Relevant equations
above
3. The attempt at a solution
not really sure where to start, the average voltage fluctuations i think is the drift velocity of the electrons through the conductor? but other than that im not really sure what the question is asking. can someone give me a hint to get me started?
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
An electrical circuit is at temperature T and contains a capacitor with capacitance C = Q/U. The energy to charge a capacitor is given by Ec[SUB] = 1/2C . Q2, the charge Q plays the role of a ‘generalized position’. Using the equipartition-theorem, determine the average voltage fluctuations U[SUB]rms = (<U2>)1/2 across the capacitor.
2. Relevant equations
above
3. The attempt at a solution
not really sure where to start, the average voltage fluctuations i think is the drift velocity of the electrons through the conductor? but other than that im not really sure what the question is asking. can someone give me a hint to get me started?
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution