Magnetism and Electromagnetism

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MCAT Physical › Magnetism and Electromagnetism

Questions 1 - 10
1

In a current-carrying wire, which of the following expressions best relates charge, current, velocity and the length of the wire?

Assume is 90o.

Explanation

The force of a charge in a magnetic field is given by the equation . q is the charge, v is the velocity, and B is the magnetic field strength.

Additionally, the force on a current-carrying carrying wire in a magnetic field is given by the equation . I is the current, L is the length or the wire, and B is the magnetic field strength.

Because we assume the angle to be 90o , we can set the two force equations equal to each other, and derive the equation .

By manipulating the variables, we can generate the equation . None of the other answer choices can be derived from these equations.

2

In a current-carrying wire, which of the following expressions best relates charge, current, velocity and the length of the wire?

Assume is 90o.

Explanation

The force of a charge in a magnetic field is given by the equation . q is the charge, v is the velocity, and B is the magnetic field strength.

Additionally, the force on a current-carrying carrying wire in a magnetic field is given by the equation . I is the current, L is the length or the wire, and B is the magnetic field strength.

Because we assume the angle to be 90o , we can set the two force equations equal to each other, and derive the equation .

By manipulating the variables, we can generate the equation . None of the other answer choices can be derived from these equations.

3

Which of the following influences the emf produced in a wire loop that is rotating in a magnetic field?

The size of the loop

The shape of the loop

The material of which the loop is made

The resistance of the loop

More than one of the other options is correct

Explanation

Recall that , where . The shape, material characteristics, and resistance do not appear in this equation. So only the size (area) of the loop influences the emf.

4

Which of the following influences the emf produced in a wire loop that is rotating in a magnetic field?

The size of the loop

The shape of the loop

The material of which the loop is made

The resistance of the loop

More than one of the other options is correct

Explanation

Recall that , where . The shape, material characteristics, and resistance do not appear in this equation. So only the size (area) of the loop influences the emf.

5

You look at a circular loop of wire such that the plane of the loop is perpendicular to your line of vision. In what direction must a current be going through the loop in order for a magnetic field to be produced in your direction.

Counterclockwise

Clockwise

Clockwise but slowly decreasing

Clockwise and slowly increasing

The direction of the current does not matter

Explanation

This is an application of the right hand rule for magnetic fields produced by current carrying loops. To use the right hand rule, put your right thumb in the direction of the current, and the direction of the magnetic field is the same as the way your other four fingers wrap as you close your fist. The answers which include increasing or decreasing of a current hint at the concept of induction and are incorrect.

6

You look at a circular loop of wire such that the plane of the loop is perpendicular to your line of vision. In what direction must a current be going through the loop in order for a magnetic field to be produced in your direction.

Counterclockwise

Clockwise

Clockwise but slowly decreasing

Clockwise and slowly increasing

The direction of the current does not matter

Explanation

This is an application of the right hand rule for magnetic fields produced by current carrying loops. To use the right hand rule, put your right thumb in the direction of the current, and the direction of the magnetic field is the same as the way your other four fingers wrap as you close your fist. The answers which include increasing or decreasing of a current hint at the concept of induction and are incorrect.

7

You look at a circular loop of wire such that the plane of the loop is perpendicular to your line of vision. The loop has a constant current that is running through it clockwise. What will happen if a magnetic field were to be activated that is pointing in your direction?

The current in the loop will continue clockwise but will increase

The current in the loop will continue clockwise but will decrease

The current in the loop will begin to move counterclockwise at the same magnitude of current as before

The current in the loop will begin to move counterclockwise but slowly decrease

The current in the loop will begin to move counterclockwise and slowly increase

Explanation

This question works with the concept of induction. Simply put, the current in a wire will adjust such as to oppose a change in magnetic field. The loop originally has a magnetic field pointing away from the observer. Therefore, with the external magnetic field suddenly activated in the opposite direction (towards the observer), the current in the loop will act to counteract this change and increase while remaining clockwise.

8

You look at a circular loop of wire such that the plane of the loop is perpendicular to your line of vision. The loop has a constant current that is running through it clockwise. What will happen if a magnetic field were to be activated that is pointing in your direction?

The current in the loop will continue clockwise but will increase

The current in the loop will continue clockwise but will decrease

The current in the loop will begin to move counterclockwise at the same magnitude of current as before

The current in the loop will begin to move counterclockwise but slowly decrease

The current in the loop will begin to move counterclockwise and slowly increase

Explanation

This question works with the concept of induction. Simply put, the current in a wire will adjust such as to oppose a change in magnetic field. The loop originally has a magnetic field pointing away from the observer. Therefore, with the external magnetic field suddenly activated in the opposite direction (towards the observer), the current in the loop will act to counteract this change and increase while remaining clockwise.

9

An electron moves at 85km/s to the right along the plane of the page, while a uniform magnetic field points into the page. In what direction does the force act on the moving electron?

Upward along the plane of the page

To the right

Downward along the plane of the page

Out of the page

Into the page at an angle

Explanation

This question requires knowlegde of the right-hand rule. Point the fingers of your right hand in the direction of the electron's velocity (to the right). Point your thumb in the direction of the magnetic field (into the page). Your palm should be facing in the direction of the force on a positive particle. However, electrons are negative, so this direction must be reversed, meaning that the direction of the force is upward along the plane of the page.

10

An electron moves at 85km/s to the right along the plane of the page, while a uniform magnetic field points into the page. In what direction does the force act on the moving electron?

Upward along the plane of the page

To the right

Downward along the plane of the page

Out of the page

Into the page at an angle

Explanation

This question requires knowlegde of the right-hand rule. Point the fingers of your right hand in the direction of the electron's velocity (to the right). Point your thumb in the direction of the magnetic field (into the page). Your palm should be facing in the direction of the force on a positive particle. However, electrons are negative, so this direction must be reversed, meaning that the direction of the force is upward along the plane of the page.

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