WAEC SSCE - Physics - 1997 (Objective)

Question 1 Report

A capacitor of capacitance 25µF is connected to an a.c power source of frequency 200/πHz. Calculate the reactance of the capacitor

0.01Ω

0.02Ω

50Ω

100Ω Correct answer

150Ω

Answer Details

The reactance of a capacitor can be calculated using the formula X = 1/(2πfC), where X is the reactance, f is the frequency, and C is the capacitance. Given that the capacitance of the capacitor is 25µF and the frequency of the a.c power source is 200/πHz, we can substitute these values into the formula: X = 1/(2πfC) X = 1/(2π*(200/π)*25 x 10^-6) X = 1/(2*(200)*25 x 10^-6) X = 1/(10 x 10^-3) X = 100Ω Therefore, the reactance of the capacitor is 100Ω. Answer: 100Ω.






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