In this lesson, we will learn how to calculate the magnetic field produced by a current in a solenoid.

Students will be able to

Q1:

A length of wire is formed into a solenoid with π turns of wire per millimeter. The wire carries a constant current πΌ. As a result, a magnetic field of strength π΅ can be measured at the center of the solenoid. Which of the following changes to the system would increase the magnetic field strength at the center of the solenoid, assuming everything else remains constant?

Q2:

A solenoid is formed of a wire that carries a constant current of 0.16 A. The magnetic field at the center of the solenoid is measured to be 3.8Γ10ο±οͺ T. Calculate the number of turns of wire per centimeter of the solenoidβs length, rounding to the nearest whole number of turns. Use a value of 4πΓ10ο±ο Tβ m/A for πο¦.

Q3:

A wire is given the form of a solenoid Sο§ that has 400 turns and a length of π. The current in Sο§ is πΌ and the strength of the magnetic field produced by Sο§ at its center is π΅ο§. A second wire is used to form a solenoid Sο¨ that has 150 turns. Sο§ and Sο¨ are connected end to end to form a solenoid Sο©. The spacing of the turns of Sο© is adjusted until the length of Sο© is π and the turns of Sο© are equidistant from each other. The turns of Sο© are equal in radius to the turns of Sο§. The current in Sο© is πΌ, and the strength of the magnetic field produced by Sο© at its center is π΅ο¨. Which of the following describes the relationship between π΅ο¨ and π΅ο§?

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