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Problem 3: An AC voltage source is connected to an inductor with inductance 0.059 H. The voltage source provides a time-dependent voltage V across the inductor as described by Vt) - Vo sin(ot), where vo- 257 V and co - 992 rad/s.Part (a) Find the current through the inductor, in amperes with its sign, at time t 2.4 sPart (b) Calculate the instantaneous power, in watts with its sign, that the inductor isabsorbing at time t = 2.4 s.P(t)

Question
Problem 3: An AC voltage source is connected to an inductor with inductance 0.059 H. The voltage source provides a time-
dependent voltage V across the inductor as described by Vt) - Vo sin(ot), where vo- 257 V and co - 992 rad/s.
Part (a) Find the current through the inductor, in amperes with its sign, at time t 2.4 s
Part (b) Calculate the instantaneous power, in watts with its sign, that the inductor is
absorbing at time t = 2.4 s.
P(t)
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Problem 3: An AC voltage source is connected to an inductor with inductance 0.059 H. The voltage source provides a time- dependent voltage V across the inductor as described by Vt) - Vo sin(ot), where vo- 257 V and co - 992 rad/s. Part (a) Find the current through the inductor, in amperes with its sign, at time t 2.4 s Part (b) Calculate the instantaneous power, in watts with its sign, that the inductor is absorbing at time t = 2.4 s. P(t)

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Step 1

(a)

 

The expression for the voltage across the inductor coil is,

 

Here, L is the inductance and i is the current through the inductor.

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Step 2

The amount of current through the inductor in 2.4 s is,

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Step 3

(b)

 

The voltage across the indu...

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