An electric charge - q moves with a velocity 3 -4 -k- in a electromagnetic field given by E -3 -2 k- B -3 k- The y-component of the force experienced by - q isA- 5 qB- 3 qC- 2 qD- 11 q

The correct option is D 11qF⃗=qE⃗×V⃗ × B⃗ =q(3î+ĵ+2k̂)+(3î+4ĵ+k̂)×(î+ĵ 3k̂) =q( 10î+11ĵ+k̂) F=11 q ...

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Motional EMF in an Open Conductor

An electric c...

Question

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

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11q

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Solution

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+ q

\to V = 3^i + 4^j +^k

\to E = 3^i +^j + 2^k & \to B =^i +^j + 3^k

y -

+ q

+ q

\to v = 3^i + 4^j +^k

\to E = 3^i +^j + 2^k

\to B =^i +^j - 3^k

+ q

\to a . (\to b \times \to c)

\to a = 2^i +^j + 3^k, \to b = -^i + 2^j +^k a n d \to c = 3^i +^j + 2^k

Find $\to a . (\to b \times \to c)$ , if $\to a = 2^i +^j + 3^k, \to b = -^i + 2^j +^k$ and $\to c = 3^i +^j + 2^k$ .

\to A =^i + 4^j - 2^k

\to B = 3^i - 5^j +^k

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