A solenoid 10.0 cm in diameter and 73.9 cm long is made from copper wire of diam

Question

A solenoid 10.0 cm in diameter and 73.9 cm long is made from copper wire of diameter 0.100 cm, with very thin insulation. The wire is wound onto a cardboard tube in a single layer, with adjacent turns touching each other. What power must be delivered to the solenoid if it is to produce a field of 8.40 mT at its center? (Assume the resistivity of the copper wire is 1.70 times 10^-8 Ohm middot m.) 7.07e4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. W

Explanation / Answer

Here ,

r = 5 cm = 0.05 m

for the length of solenoid

L = 73.9/(pi * 10) * 0.10 = 0.235 cm

let the current needed is I

8.40 *10^-3 = 4pi *10^-7 * (73.9/(pi * 10)) * I/(0.235 *10^-2)

solving for I

I = 6.68 A

for the resistance

R = 1.68 *10^-8 * 0.739/(pi * (0.10 *10^-2/2)^2)

R = 0.0158 Ohm

power delivered = 6.68^2 * 0.0158

power delivered = 0.705 W

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.