Question: Prove the relation = 0 . 4 5 5 r i s e ( = time constant ) The Natural Response for an RC circuit

Prove the relation =0.455rise(= time constant)
The "Natural Response" for an RC circuit is when a "charged" capacitor at Vo volts is suddenly put in series with a resistor.
Show the ODE describing the Natural Response of a RC circuit is dVcdt+VcR*C=0
HINT: Apply KVL, Ohm's Law, Q=CV cror for the capacitor and the relation between charge deposited on the capacitor and the current flowing through the resistor
4. Solve the ODE for the Natural Response of an RC system
Prove the relation = 0 . 4 5 5 r i s e ( = time

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