Question

**JUST NEED HELP WITH IV**

capacitor is charged to its max value, so that $V_{C}$ and $Q=CVO$ . At t = 0, the voltage source is disconnected from the circuit.

i. Write an expression for the charge on the capacitor. Do this symbolically; do NOT plug in the values from parts (a) and (b).

ii. Find an expression for the time constant of this circuit. Your answer should not contain the physical dimensions of the resistor/capacitor, only material properties and physical constants.

iii. Find the value of the time constant for a fused quartz capacitor/resistor.

iv. How long would it take for the charge on the capacitor to decay to 1% of its initial value? Put your answer in years.

Answer 1

Solution:- Vo . T R } = c = Vot It 30 (iv) as the on the capacitor Capuciter is at discharging the any Instant charge is Eriven by Q = 9o le-th] where t= RC Po = CVO time taken to decayte 1% of initial Charge. 100 So fole they Loe ette - take ln' Birth side 4.6 = 6 t= 4.6 I t = 4.6 RC see it takes 4.6 Ro see to 1% of its Initial value decay to charge - - to

Solution:- Vo . T R } = c = Vot It 30 (iv) as the on the capacitor Capuciter is at discharging the any Instant charge is Eriven by Q = 9o le-th] where t= RC Po = CVO time taken to decayte 1% of initial Charge. 100 So fole they Loe ette - take ln' Birth side 4.6 = 6 t= 4.6 I t = 4.6 RC see it takes 4.6 Ro see to 1% of its Initial value decay to charge - - to