In a purely inductive AC circuit as shown in the figure, AVmaxAVmax sin 27 ft= 100 V.(a) The maximum current is 5.70 A at 37.0 Hz. Calculate the inductance L.(b) At what angular frequency w is the maximum current 2.20 A?Step 1We find the reactance from Imax = AVmax/XL, where XL is defined to be the inductive reactance of the circuit with inductance L and frequency f.(a) Solving for the reactance for the first current Imax1 given in the problem, we haveAV maxXL1 =Imax11001325XYour response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. A)Ω.

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In a purely inductive AC circuit as shown in the figure, AVmax = 100 V. AVmax sin 27 ft ele (a) The maximum current is 5.70 A at 37.0 Hz. Calculate the inductance L. (b) At what angular frequency w is the maximum current 2.20 A?

In a purely inductive AC circuit as shown in the figure, AVmax = 100 V. AVmax sin 27 ft ele (a) The maximum current is 5.70 A at 37.0 Hz. Calculate the inductance L. (b) At what angular frequency w is the maximum current 2.20 A?

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Chapter1: Units, Trigonometry. And Vectors

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Question

In a purely inductive AC circuit as shown in the figure, AV
max
AVmax sin 27 ft
= 100 V.
(a) The maximum current is 5.70 A at 37.0 Hz. Calculate the inductance L.
(b) At what angular frequency w is the maximum current 2.20 A?
Step 1
We find the reactance from Imax = AVmax/XL, where XL is defined to be the inductive reactance of the circuit with inductance L and frequency f.
(a) Solving for the reactance for the first current Imax1 given in the problem, we have
AV max
XL1 =
Imax1
100
1325
X
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. A)
Ω.

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