The ratio of instantanious charge and maximum charge on the plates of capacitor at T=RC is ??
To find the ratio of instantaneous charge (Q) to maximum charge (Qmax) on the plates of a capacitor at T=RC, we can use the equation for charging and discharging of a capacitor.
The equation for the charge on a charging capacitor is given by:
Q(t) = Qmax * (1 - e^(-t/RC))
Where:
Q(t) = instantaneous charge at time t
Qmax = maximum charge on the plates of the capacitor
t = time
R = resistance in the circuit
C = capacitance
At T=RC, we can substitute t=RC in the equation:
Q(T=RC) = Qmax * (1 - e^(-T/RC))
Now, we need to find the value of e^(-T/RC) at T=RC. Since e^(-1) is approximately 0.3679, we can substitute this value:
Q(T=RC) = Qmax * (1 - 0.3679)
Simplifying further:
Q(T=RC) = Qmax * (0.6321)
Therefore, the ratio of instantaneous charge to maximum charge at T=RC is approximately 0.6321.