Problem 4 The circuit which was at position a for a long time is suddenly switch

Question

Problem 4 The circuit which was at position a for a long time is suddenly switched to position b at time -0 a) Select the correct option for each statement (True,False In the instant after the circuit is switched to position b, the voltage across the resistor is zero In the instant after the circuit is switched to position b, the voltage across the capacitor is zero The current through the resistor equals the current through the capacitor at all times In the instant after the circuit is switched to position b, the current through the capacitor is zero Submit AnswerTries 0/6 b) What is le at time r-2.00 milliseconds? DATA: R-475··C-4.00 uF, la-2.95V. Suomit Answer Tries 0/6 c What is the energy dissipated in the resistor after time r-0 Submit Answer Tries 0/6 for a long time, then switched to position a at time r ·What is d) Using the same data as above, consider the case when the switch is in position Vc at time2.0 milliseconds? Submit AnswerTries 0/6 Due Sunday March 18 11:59 am (EDT)

Explanation / Answer

a)

False: As the circuit is switched to position b, the resistor becomes in parallel with the capacitor. as the Voltage across the resistor is same as that across the capacitor.

False : As the circuit is switched to position b,the capacitor is fully charged and has the Voltage equal to the battery Voltage.

True :

False :

b)

Time constant is given as

T = RC = 475 x 4 x 10-6 = 1.9 x 10-3 sec

t = given time = 2 x 10-3 sec

Using the equation for discharging of the capacitor

Vc = Vb e-t/T

Vc = (2.95) e-((2 x 10-3 )/(1.9 x 10-3 ))

Vc = 1.03 Volts

c)

energy dissipated is given as

E = Vb2/R

E = (2.95)2/475

E = 0.0183 Watt

d)

during charging

Vc = Vb (1 - e-t/T)

Vc = (2.95) (1 - e-2/1.9)

Vc = 1.92 Volts

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