Find: (a) The maximum value of the current in the circuit. I 0 = ___ mA. (b) The

Question

Find:

(a) The maximum value of the current in the circuit.

I0 = ___ mA.

(b) The time constant of the circuit.

? = ___ms.

(c) The current in the circuit at the time t = 0.035 s.

I (0.035 s) =___ mA.

(d) The percentage of the total current in the circuit at t = ?.

I%(?) = ___ % of I0.

(e) The actual value of the current in the circuit at t = ?.

I (?) = ___ mA.

In the circuit below, Nolan 25-41 Find: (a) The maximum value of the current in the circuit. I0 = ___ mA. (b) The time constant of the circuit. ? = ___ms. (c) The current in the circuit at the time t = 0.035 s. I (0.035 s) =___ mA. (d) The percentage of the total current in the circuit at t = ?. I%(?) = ___ % of I0. (e) The actual value of the current in the circuit at t = ?. I (?) = ___ mA. Epsilon = 14.0 V, R = 4443.0 ?, and C = 3.38 ?F. The switch S is closed at t = 0 s.

Explanation / Answer

a) Io = e/R

= 14/4443

= 3.15 mA

b) T = R*C

= 4443*3.38*10^-6

= 15.02 ms

c) at t = 0.035 s

I = Io*e^(-t/T)

= 3.15*10^(-0.035/0.015)

= 0.306 mA

d) t = T

I = Io*e^(-t/T)

= I0/e

= 37% of Io

e) I = 0.37*Io

= 0.37*3.5 mA

= 1.295 mA

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