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Electric Potential at a Point in Space Due to a Point Charge Q

The displacem...

Question

The displacement of a charge Q in the electric field $E = e_{1} l + e_{2} j + e_{3} k$ is $r = a i + b j$ . The work done is

Q (a e_{1} + b e_{2})

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Q ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ a e_{1}^{2} + b e_{2}^{2}

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Q (e_{1} + e_{2}) ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ a^{2} + b^{2}

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Q ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ e_{1}^{2} + e_{1}^{2} a + b

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Solution

The correct option is D $Q (a e_{1} + b e_{2})$
By using $W = Q (E Δ r)$
$\Rightarrow W = Q [(e_{1} l + e_{2} j + e 3 k) . (a i + b j)]$
$= Q (e_{1} a + e_{2} b)$

Suggest Corrections

Similar questions

\to r = a ˆ i + b ˆ j

\to E = E_{1} ˆ i + E_{2} ˆ j

E = e_{1}^i + e_{2}^j + e_{3}^k

^r = a^i + b^j

q

\to E = e_{1}^i + e_{2}^j + e_{3}^j

\to r = a^i + b^j

q

E

Y

q

A

B

C

D

E

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