An inductor with an inductance of 100 µH passes a current of 10 mA when its terminal voltage is 6.3 V. Calculate the frequency of A.C supply. Ans (10⁶ Hz) 



Data Given:

Inductance = L = 100 μH = 100 × 10⁻⁶ H

Current = I = 10 mA = 10 × 10⁻³ A

Voltage = V = 6.3 V



To Find:

Frequency of A.C. supply = f = ?


Solution:

The formula for the Frequency of A.C. supply is given by 

f = XL2ㄫL

Where XL = Inductive Reactance =  VI so,

f = V2ㄫLI

Now putting the corresponding values 

f = 6.3V2×3.1416×100×10⁻⁶H×10×10⁻³A

f = 6.3V6283.185×10⁻⁹HA

f = 0.00100 × 10⁹ Hz

or

f = 1.0 × 10⁶ Hz -------------Ans.



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