Hi there,
I have a question about discharging capacitors, solving the differential equation for a simple RC circuit, we all know the formula Q(t)=Q0*exp(-t/RC), differentiating and substituting Q=CV, we get a formula for the current; i(t)=(V/R)*exp(-t/RC), the peak current is then just V/R as Ohms law states, this to me is fine, but! there must be some limiting factors like the size of the capacitor? I thought it was strange that the current is not some function of capacitance as if we have 12 volts and a R = 0.1ohm we can get 120A, i would normally associate this with large capacitors but from the equations i have presented, it is possibel to get it from a small capacitor too, which to me, does not seem possible! Can someone clarify the limitations on the peak current (maybe ESL or ESR), maybe also tell me why people who build capacitor banks all the time always quote the energy stored in the capacitor when there is no direct dependance on the energy according to the derived equations?
Any help is appreciated!
I have a question about discharging capacitors, solving the differential equation for a simple RC circuit, we all know the formula Q(t)=Q0*exp(-t/RC), differentiating and substituting Q=CV, we get a formula for the current; i(t)=(V/R)*exp(-t/RC), the peak current is then just V/R as Ohms law states, this to me is fine, but! there must be some limiting factors like the size of the capacitor? I thought it was strange that the current is not some function of capacitance as if we have 12 volts and a R = 0.1ohm we can get 120A, i would normally associate this with large capacitors but from the equations i have presented, it is possibel to get it from a small capacitor too, which to me, does not seem possible! Can someone clarify the limitations on the peak current (maybe ESL or ESR), maybe also tell me why people who build capacitor banks all the time always quote the energy stored in the capacitor when there is no direct dependance on the energy according to the derived equations?
Any help is appreciated!