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would you please answer all the question i appriciate if you answer all of them

ID: 1792974 • Letter: W

Question

would you please answer all the question i appriciate if you answer all of them thanks

(a) What is the inductive time constant of the circuit?
ms

(b) Calculate the current in the circuit 250 µs after the switch is closed.
A

(c) What is the value of the final steady-state current?
A

(d) After what time interval does the current reach 80.0% of its maximum value?
ms

An LC circuit like the one in the figure below contains an 85.0-mH inductor and a 28.0-µF capacitor that initially carries a 185-µC charge. The switch is open for t < 0 and is then thrown closed at t = 0.

(a) Find the frequency (in hertz) of the resulting oscillations.
Hz

(b) At t = 1.00 ms, find the charge on the capacitor.
µC

(c) At t = 1.00 ms, find the current in the circuit.
mA

Explanation / Answer

a)

time constant is given as

T = L/R = 0.007/6 = 1.2 x 10-3 sec

b)

current at any time is given as

I(t) = (E/R) (1 - e-t/T)

I(t) = (6/6) (1 - e-((0.25 x 10-3)/(1.2 x 10-3)))

I(t) = 0.188 A

c)

i = E/R = 6/6 = 1 A