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The slope of the V-I curve is 31°. Calculate the value of resistance. Assume the relationship between voltage and current is a straight line.

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The slope of the V-I curve is 31°. Calculate the value of resistance. Assume the relationship between voltage and current is a straight line.

(a) 0.600 Ω

(b) 0.607 Ω

(c) 0.543 Ω

(d) 0.648 Ω

This question was posed to me by my college professor while I was bunking the class.

The doubt is from Modified Speed Torque Characteristics of DC Series Motors in portion Characteristics of DC & AC Motors of Electric Drives

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The correct choice is (a) 0.600 Ω

The explanation: The slope of the V-I curve is resistance. The slope given is 31° so R=tan(31°)=0.600 Ω. The resistance is the ratio of voltage and current.

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