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Question

An electric charge +q moves with velocity v=3^i+4^j+^k in the presence of electric and magnetic fields given by E=3^i+^j+2^k and B=^i+^j3^k. The y-component of the force experienced by +q is ?

A
2q
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B
11q
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C
5q
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D
3q
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Solution

The correct option is B 11q
Using Lorentz's force equation,

F=q(E+(v×B))

Given,

E=3^i+^j+2^kV=3^i+4^j+^kB=^i+^j3^k

Putting values in F we get,


F=q[3^i+^j+2^k+(3^i+4^j+^k)×(^i+^j3^k)]

=q[3^i+^j+2^k+3^k+9^j4^k12^i+^j^i]

F=q[10^i+11^j+^k]

|Fy|=11q

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, option (b) is the correct answer.

Why this question ?

To familiarize oneself how to use Lorentz force equation in different scenarios and to make vector calcualtion familiar.

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