Chapter 31, Problem 1CQ

To determine

To check:

The direction and existence of magnetic and electric field experienced in a spaceship.

Answer to Problem 1CQ

Solution:

Correct answers are (a) Yes, in the direction of $\overrightarrow{B}$ (b) Yes, in the direction opposite to $\overrightarrow{v}\times \overrightarrow{B}.$

Introduction:

A spaceship is moving towards left and perpendicular to its velocity a magnetic field $\overrightarrow{B}$ is available.

Explanation of Solution

(a) As it is given that a spaceship is moving towards left and perpendicular to its velocity a magnetic field $\overrightarrow{B}$ is available, therefore Andre will experience the same magnetic field $\left(\overrightarrow{B}\right)$ inside the spaceship.

(b) Due to Lorentz’s Force, all the charges on the body of spaceship will experience a force in the direction $(\overrightarrow{v}\times \overrightarrow{B})$ and start accumulating on two sides of spaceship.

Due to this accumulation of charged, Andre will experience on electric field opposite to flow of these charges i.e., opposite to the direction of $(\overrightarrow{v}\times \overrightarrow{B})$ $$

Conclusion:

Andre will experience both, magnetic as well as electric fields.