Question

At the instant shown, the field direction is out of the page, its magnitude is 300 V/m, and its magnitude is increasing at a rate of 21.0 V/(m·s).

(a) What is the magnitude of the magnetic field?
a) 279 V/m
b) 300 V/m
c) 321 V/m
d) 2790 V/m

Answer 1

The magnitude of the magnetic field is 279 V/m. Therefore, the correct answer is a) 279 V/m.

Step-by-step explanation:

To find the magnitude of the magnetic field, we need to use the equation F = quBsin, where F is the force, q is the charge, u is the velocity, B is the magnetic field, and is the angle between the velocity and the magnetic field. In this case, the angle between the velocity and the magnetic field is 90 degrees.

Given that the magnitude of the electric field is increasing at a rate of 21.0 V/(m·s), we can use this information to calculate the magnitude of the force. Therefore, the magnitude of the magnetic field is 279 V/m (option a).

A magnetic field is an area around a magnet or a moving electric charge within which the force of magnetism acts. It's an invisible force that exerts influence on other magnets or moving charged particles.

Key points about magnetic fields:

Origin: Magnetic fields are generated by moving electric charges. In the case of permanent magnets, such as those made from iron or other ferromagnetic materials, the magnetic field is a result of the alignment of the atoms within the material.