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**Introductory Exercise 23.1**

**Ques 1: Write the dimensions of E/B. Here, E is the electric field and B the magnetic field. Sol:** qE = Bqv sin Î¸

[E/B] = [v] = [LT

Sol:

Sol:

Sol:

Here, q has to be substituted with sign.

**Introductory Exercise 23.2**

**Ques 1: Can a charged particle be accelerated by a magnetic field. Can its speed be increased?Sol:** Magnetic force may be non-zero. Hence acceleration due to magnetic force may be non-zero. Magnetic force is always perpendicular to velocity. Hence its power is always zero or work done by magnetic force is always zero. Hence it can be change the speed of charged particle.

Sol:

is along position y -direction, q is negative and is along positive x-direction. Therefore should be along positive z-direction.

(a) Which particle will describe the smaller circle?

(b) Which particle will have greater frequency?

Sol:

Electrons touches the x-axis again after every pitch. Therefore the asked distance is d = p = v

For paraxial electrons Î¸ â‰ˆ 0Â° and q = e

âˆ´

Sol:

and Î¸ = Ï€ if L â‰¤ r

Sol:

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