JAMB Physics 2007 Objective — Question 25

Question 25 of 50 from the Joint Admissions and Matriculation Board (JAMB) Physics 2007 Objective paper, with the correct answer and a full explanation.

Use the diagram below (an inductor of 0.1H in series with a resistor R, connected to a 75V, 50/pi Hz a.c. source, carrying 1.3A) to answer this question. The inductive reactance and the resistance R are respectively

A. 10 ohm and 50 ohmCorrect
B. 20 ohm and 30 ohm
C. 25 ohm and 50 ohm
D. 50 ohm and 45 ohm

Explanation

XL = 2.pi.f.L = 2 x 3.142 x (50/3.142) x 0.1 = 10 ohm. Z = V/I = 75/1.5 = 50 ohm. R = sqrt(Z2-XL2) is approx 50 ohm.

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