A coworker of yours was making measurements of a large solenoid that is connecte

Question

A coworker of yours was making measurements of a large solenoid that is connected to an ac voltage source. Unfortunately, she left for vacation before she completed the analysis, and your boss has asked you to finish it. You are given a graph of 1/I2 versus ?2 (Figure 1) , where I is the current in the circuit and ? is the angular frequency of the source. A note attached to the graph says that the voltage amplitude of the source was kept constant at 20.0 V

Explanation / Answer

I = V / XL

and XL = wL

I = V / wL

wL / V = 1/I

w^2 ( L^2 / V^2) = 1/I^2

slope = L^2 / V^2 = (23 - 7) /4000

L = 1.26

and for frequency, w

R = wL = 1.26 w

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