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Question

An electric charge +q moves with velocity ¯V=3^i+4^j+^k, in an electromagnetic field given by ¯E=3^i+^j+^2k ¯B=^i+^j+^3k.The y-component of the force experienced by +q is:

A
7q
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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 C 7q

Given that,

Velocity, v=(3^i+4^j+^k)

Electric field, E=3^i+^j+2^k

Magnetic field, B=^i+^j+3^k

Force,

F=q(E+v×B)

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

F=q(3^i+^j+2^k+11^i8^j^k)

F=q(14^i7^j+^k)

So, y-component of force experienced by +q is

Fy=7q


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