Question

The slope of the V-I curve is 9.1°. Calculate the value of resistance. Assume the relationship between voltage and current is a straight line.

(a) .16 Ω

(b) .26 Ω

(c) .25 Ω

(d) .44 Ω

This question was posed to me in examination.

This intriguing question comes from Induction Motors Speed Control in chapter Speed Control of Direct Current Motors & Induction Motors of Electric Drives

Answer 1

Correct choice is (a) .16 Ω

For explanation I would say: The slope of the V-I curve is resistance. The slope given is 9.1° so R=tan(9.1°)=.16 Ω. The slope of the I-V curve is reciprocal of resistance.