Consider the situation after very shortly throwing the switch to B. a. what is t

Question

Consider the situation after very shortly throwing the switch to B.

a. what is the potential across R?
b. what is the potential across L?
c. what is the rate of change of the current which flows from C?

Consider an R- 500-2 resistor, an L0.5H inductor, a battery E with an r = 5-Q internal resistance, & a capacitor C 500 MF. Before time t 0, the switch S is connected to A so that C charges up to a final steady value of O-100uC At exactly 0 the switch S is thrown to B, and B. the capacitor starts to discharge.

Explanation / Answer

a)

just after throwing the swicth to B , the inductor behave as open circuit, hence no current flows in the circuit

Using ohm's law

Vr = Voltage across the resistor = iR = 0 volts

b)

charge stored on the capacitor is given as

Q = CE

100 = 500 E

E = 0.2 Volts

Potential difference across inductor = potential difference across capacitor

VL = E = 0.2 Volts

c)

using the equation

VL = L (di/dt)

0.2 = (0.5) (di/dt)

(di/dt) = 0.4 A

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