Question

For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d 0.500 mm. The resistance of the solenoid needs to be 3.500 and the magnetic field of the solenoid with a current of 2.50 A should be 6.50 x 10-T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p - 1.70 x 10-40-m for the resistivity of copper.) (a) How many turns of wire does the electrical engineer need? turns (b) Determine the required length (in cm) of the solenoid cm

Answer 1

co diameter, de :0.5 mm Resistance, R: 3.52 current , 2.5 magnetic field, B: 6.5x18²7 R PL А R = P s. PL A A P Area of solenoid To g? La Torar p for copper = 117x108am length of solenoid, i 3.14% (0.25 X X163) 1.7x108 Form 40.4m 3.5 hre

coure No of turns of needed .L ator 40.4 2 ex (1x102) N- = 643 turns B = Mon I n ho MOI 6.5 xro n (40 n = x 107 ) x2 it 20078103 turns/ml/ have to de homine no. of tons of wise work Mtume) 643 n (turns/m) 20.axco ws 2 3 Length, 0.03 m 3:1.m This is the required length of solenoid.