Question bank: Magnetic Field: Coil

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Question 1:

Medium

In a futuristic city, a team of engineers is designing a magnetic levitation-based transportation system. They have at their disposal a coil with cylindrical coordinates that can be used in the project. The coil has a radius R and a length L and is wound with copper wires, with N turns per unit length. When an electric current I flows through the coil, it produces a magnetic field B inside it. We would like to calculate the intensity of the magnetic field generated by this coil that will be used in transportation. To do this, (a) deduce the expression of the magnetic field (B) on the central axis of the coil and (b) find the intensity of the magnetic field generated by the coil when: R = 0.1 m, L = 1 m, N = 1000 turns/m, and I = 10 A. (c) If we want to increase the magnetic field at a particular point inside the coil, which variables in our solution could be easily modified?

Magnetic Field: Coil

Question 2:

Medium

A coil is composed of 200 turns and is traversed by an electric current of 5 A. Which of the following statements is correct about the magnetic field generated by this coil?

Magnetic Field: Coil

Question 3:

Medium

During the assembly of a physics experiment, a student is working with two identical circular coils, each containing 250 turns and having a radius of 6 cm, arranged axis to axis with a gap of 10 cm between them. A current of 4 A flows through the first coil in a clockwise direction, while the current through the second coil flows in a counterclockwise direction. Considering the midpoint between the two coils, what is the overall intensity of the magnetic field at that point?

Magnetic Field: Coil

Question 4:

Medium

A Physics student decided to assemble a small electromagnet using a coil made of enameled copper wire and an iron core. He wound the coil with 500 turns and connected it to a 4 A direct current source. Knowing that the solenoid's length is 20 cm and using the vacuum permeability constant (μ0 = 4π × 10^-7 T.m/A), do the following: (a) calculate the magnetic field inside the coil, (b) determine the average magnetic field at the end of the coil, and (c) explain how the iron core affects the magnetic field generated by the coil.

Magnetic Field: Coil

Question 5:

Medium

An engineer is designing a circular coil with 200 turns, each having a radius of 5 cm. When he applies an electric current of 3 A to the coil, he needs to determine the strength of the magnetic field at the centre of the coil. Using the formula for the magnetic field of a coil, what is the resultant value of the magnetic field generated at the coil's centre?

Magnetic Field: Coil

IARA TIP

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