Calculate the resistance of the coil of a transistor, Electrical Engineering

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A 6 V / 2.5 mA relay is connected in the output stage of a transistor.  The coil is made of aluminium having α = 0.004. The resistance of the coil is 600 ? at 32o C. Calculate the resistance of the coil at 42o C.

Ans:

α = 0.004

R (at 320C) = 600 ?

T = 273 + 32 =305

R = R0 (1+ α T)

600 = R0 (1+ 0.004 x 350) = 2.4 R0

R0 = 600/2.4 =250 ?

R (at 420C)

T = 273 + 42 = 315

R = R0 (1+ α T) = 250 (1 + 0.004 x 315) R = 565 ?


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