Question

For a physics lab assignment, a student needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.10 Ω and the magnetic field of the solenoid with a current of 2.50 A should be 5.10 ✕ 10⁻² T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use

ρ = 1.70 ✕ 10⁻⁸ Ω · m

for the resistivity of copper.)

(a)

How many turns of wire does the student need?

turns

(b)

Determine the required length (in cm) of the solenoid.

Answer 1

= 35.00 m B- no Ni - L= loni Resistance of wire R = 84 ) I=RA - 3. 10x T1 x /• 5X10 *654109 P 1.70 x 10-8 a) No of turns o (N) = 1 = 570 2T1 x(1x102) b) L. 35.80 2T18 13 - UTIXIO X STOX 2.50 0.035 m 5. 10x10-2