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The 5.05 A current through a 1.50 H inductor is dissipated by a 1.89 resistor in

ID: 1401444 • Letter: T

Question

The 5.05 A current through a 1.50 H inductor is dissipated by a 1.89 resistor in a circuit like that in the figure below, with the switch in position 2.

(a) What is the initial energy in the inductor?
19.127 J This answer is correct

(b) How long will it take the current to decline to 5.00% of its initial value?
2.378  s This answer is correct

(c) Calculate the average power dissipated, and compare it with the initial power dissipated by the resistor.

Pavg

I NEED HELP WITH PART C PLEASE!!!

Pavg =   
What is the energy when the current is 5.00% of the initial current? How is average power defined in terms of initial and final energies? W Pi

Pavg

I NEED HELP WITH PART C PLEASE!!!

=   
What is the energy when the current is 5.00% of the initial current? How is average power defined in terms of initial and final energies?

Explanation / Answer

(c) Average energy dissipated would be through the resistor

Pav = Irms2 R

Pav = [5.05/sqrt(2)]2 (1.89)

Pav =(5.05)2 (1.89) / 2

Pav = 24.1 W

Average power dissipated =24.1 W

And initially current flowing through resistance was I = 5.05 A

so initial power dissipated was Pi = (5.05)2(1.89)

Pi = 48.2

So it initial power dissipated would be twice of average power dissipated