A **60.5 m** length of insulated copper wire is wound to form a solenoid of radius **2.2 cm**. The copper wire has a radius of **0.51 mm**. (Assume the resistivity of copper is \( \rho = 1.7 \times 10^{-8} \, \Omega \cdot m \).)**(a)** What is the resistance of the wire? \[ \boxed{ \phantom{xxx} } \, \Omega \]**(b)** Treating each turn of the solenoid as a circle, how many turns can be made with the wire? \[ \boxed{ \phantom{xxxxxxxx} } \, \text{turns} \]**(c)** How long is the resulting solenoid? \[ \boxed{ \phantom{xxxxxxxx} } \, m \]**(d)** What is the self-inductance of the solenoid? \[ \boxed{ \phantom{xxxxx} } \, \text{mH} \]**(e)** If the solenoid is attached to a battery with an emf of **6.0 V** and internal resistance of **350 m\(\Omega\)**, compute the time constant of the circuit. \[ \boxed{ \phantom{xxxxx} } \, \text{ms} \]**(f)** What is the maximum current attained? \[ \boxed{ \phantom{xxxxx} } \, A \]**(g)** How long would it take to reach **99.9%** of its maximum current? \[ \boxed{ \phantom{xxxxx} } \, \text{ms} \]**(h)** What maximum energy is stored in the inductor? \[ \boxed{ \phantom{xxxxx} } \, \text{mJ} \]

Answered: A 60.5 m length of insulated copper…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A **60.5 m** length of insulated copper wire is wound to form a solenoid of radius **2.2 cm**. The copper wire has a radius of **0.51 mm**. (Assume the resistivity of copper is \( \rho = 1.7 \times 10^{-8} \, \Omega \cdot m \).)

**(a)** What is the resistance of the wire?
\[ \boxed{ \phantom{xxx} } \, \Omega \]

**(b)** Treating each turn of the solenoid as a circle, how many turns can be made with the wire?
\[ \boxed{ \phantom{xxxxxxxx} } \, \text{turns} \]

**(c)** How long is the resulting solenoid?
\[ \boxed{ \phantom{xxxxxxxx} } \, m \]

**(d)** What is the self-inductance of the solenoid?
\[ \boxed{ \phantom{xxxxx} } \, \text{mH} \]

**(e)** If the solenoid is attached to a battery with an emf of **6.0 V** and internal resistance of **350 m\(\Omega\)**, compute the time constant of the circuit.
\[ \boxed{ \phantom{xxxxx} } \, \text{ms} \]

**(f)** What is the maximum current attained?
\[ \boxed{ \phantom{xxxxx} } \, A \]

**(g)** How long would it take to reach **99.9%** of its maximum current?
\[ \boxed{ \phantom{xxxxx} } \, \text{ms} \]

**(h)** What maximum energy is stored in the inductor?
\[ \boxed{ \phantom{xxxxx} } \, \text{mJ} \]

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