Consider the circuit in the diagram. The values the circuit components are as fo

Question

Consider the circuit in the diagram. The values the circuit components are as followed: C is 0.75 uF, R is 15, and E is 9 V. Assume the switch has been in position "a" for a very long time, and has moved to position "b" at t = 0 s.

A) What is the time constant for this circuit?

B) What is the current in the circuit when t = 0 s ?

C) What is the current in the circuit when t = 25 uF ?

D) What is the voltage across the capacitor when t = 0 s ?

E) What is the voltage across the capacitor when t = 25 uF ?

Explanation / Answer

when connected to poin a for long time charge grows on the capacitor and the potential difference become equal to emf. after moved to switch b the decay of charge and potential takes place

A )

time constant ?? = R*C = 15*0.75e-6 = 1.125e-5 s = 11.2e-6 s

B) Io = E/R = 9/15 = 0.6 A

C) I = Io*e^-t/??

I = 0.6*e^-25e-3/11.2e-6

I = 0.064 A

D) V = 9 V

E) V = E*(e^-t/??) = 0.97 V

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