Having some trouble with this one, hoping that you can help me,
Two capacitors have the capacities C1 and C2. One of them has the charge Q while the other one is uncharged. Now they are set in parallel.
a) Show that when equilibrium is reached, each capacitor has a charge that is equal to the original charge multiplied by the ratio of the observed capacitors capacitance and the sum of capacities.
b) Determine an expression for the energy loss expressed by the given operators. Explain the reason for this energy loss.
in a)
So far we've been juggling around with some formulas:
Q[tot]=Q[1]+Q[2]=(C1+C2)*V
Q=C*V
and the fact that V is the same for both capacitors after equilibrium. We do think we need an expression for V[before] though.
We are not quite sure how to set up expressions for the situation before... We're not sure whether we need to do some energy-considerations or not.
Any ideas as for how to move on from here would be greatly appreciated.
Sincerely yours,
Gondo
Two capacitors have the capacities C1 and C2. One of them has the charge Q while the other one is uncharged. Now they are set in parallel.
a) Show that when equilibrium is reached, each capacitor has a charge that is equal to the original charge multiplied by the ratio of the observed capacitors capacitance and the sum of capacities.
b) Determine an expression for the energy loss expressed by the given operators. Explain the reason for this energy loss.
in a)
So far we've been juggling around with some formulas:
Q[tot]=Q[1]+Q[2]=(C1+C2)*V
Q=C*V
and the fact that V is the same for both capacitors after equilibrium. We do think we need an expression for V[before] though.
We are not quite sure how to set up expressions for the situation before... We're not sure whether we need to do some energy-considerations or not.
Any ideas as for how to move on from here would be greatly appreciated.
Sincerely yours,
Gondo