An inductor is connected to a 24V, 50Hz mains supply. If the current through the inductor is 1.5A, calculate the inductance of the inductor (\(\pi = \frac{2...
Question 1 Report
An inductor is connected to a 24V, 50Hz mains supply. If the current through the inductor is 1.5A, calculate the inductance of the inductor (\(\pi = \frac{22}{7}\))
Answer Details
The formula for the inductive reactance is XL = 2πfL, where XL is the inductive reactance in ohms, f is the frequency in Hertz and L is the inductance in Henrys. We are given that the mains supply has a frequency of 50Hz, and that the current through the inductor is 1.5A. We also know that the voltage across the inductor is V = I XL, where V is the voltage in volts. The voltage across the inductor is given as 24V, so we can use Ohm's law to find the inductive reactance: XL = V / I = 24V / 1.5A = 16Ω We can now use the formula XL = 2πfL to find the inductance: L = XL / 2πf = 16Ω / (2π x 50Hz) = 0.051H ≈ 5.1 x 10-2H Therefore, the inductance of the inductor is approximately 5.1 x 10-2H. The correct option is (d).
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