A portion of Nichrome wire of radius 2.85 mm is to be used in winding a heating

Question

A portion of Nichrome wire of radius 2.85 mm is to be used in winding a heating coil. If the coil must draw a current of 8.05 A when a voltage of 120 V is applied across its ends, find the following. (Take the resistivity of nichrome to be

A portion of Nichrome wire of radius 2.85 mm is to be used in winding a heating coil. If the coil must draw a current of 8.05 A when a voltage of 120 V is applied across its ends, find the following. (Take the resistivity of nichrome to be 1.50 X 10^-6 ? · m.) (a) the required resistance of the coil ? (b) the length of wire you must use to wind the coil m

Explanation / Answer

a)

cross-section area of wire =pi*r2 = pi*(2.85*10-3)2 = 2.55*10-5 m2

R =V/I = 120/8.05 = 14.91 ohms

b)

l = R*A/p

resistivity of nichrome p = 1.50*10-6 -m

l = 14.91*2.55*10-5/1.50*10-6 = 253.47 m.

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