clear explanation. Thanks! Problem 2 Circuit elements Consider the following RC

Question

clear explanation. Thanks!

Problem 2 Circuit elements Consider the following RC circuit studied in class: emf -0 a) Draw in the diagram the direction of the conventional current l. b) Write down the loop equation for this circuit c) Take the equation that you have found and replace I (the current) by dQ dt This is a differential equation with solution e(t) C(em(1) d) Do the derivative of Q(t) with respect to time (de/de) to find an expression for I() Imagine that the resistor is a lightbulb (remember the demo done in class). At t-0 is the lightbulb ON? Calculate from the equation found for I(t) in d) the value of the current at t O. After a long time will the lightbulb be ON? Calculate from the equation found in d) the value of the current for t Use Q(t) to find the charge in the capacitor at t-0 and at t oo. Explain your results e) If the resistance of the lightbulb is 3 and the capacitance of the capacitor is 1.65 find the characteristic time constant of the circuit . After a time t has passed by, what is the amount of current flowing in the circuit? (Write your answer as a percentage of the initial current flowing in the circuit).

Explanation / Answer

A) clockwise direction

B) emf - iR - Q/C =0

C) emf - R dQ/dt - Q/C = 0

D) dQ/dt = C(emf) *e^(-t/RC)/RC

i = (emf)/R*e^(-t/RC)

putting t=0 in above equation,

i = emf /R

E) putting t = infinity,

i=0

F)putting t=0 in Q = C(emf)* (1-e^-t/RC)

Q=0

And putting t= infinity, Q = C* emf

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