SATHEE: Electrostatics Question 411

Electrostatics Question 411

Question: The displacement of a charge Q in the electric field $E = e_{1} \hat{i} + e_{2} \hat{j} + e_{3} \hat{k}$ is $\hat{r} = a \hat{i} + b \hat{j}$ . The work done is [EAMCET (Engg.) 2000]

Options:

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

B) $Q \sqrt{{(a e_{1})}^{2} + {(b e_{2})}^{2}}$

C) $Q (e_{1} + e_{2}) \sqrt{a^{2} + b^{2}}$

D) $Q (\sqrt{e_{1}^{2} + e_{2}^{2})} (a + b)$

Show Answer

Answer:

Correct Answer: A

Solution:

By using $W = Q (\vec{E} . Δ \vec{r})$

therefore $W = Q [(e_{1} \hat{i} + e_{2} \hat{j} + e_{3} \hat{k}) . (a \hat{i} + b \hat{j})] = Q (e_{1} a + e_{2} b)$

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Electrostatics Question 411

Question: The displacement of a charge Q in the electric field E=e1i^+e2j^+e3k^ is r^=ai^+bj^ . The work done is [EAMCET (Engg.) 2000]

Options:

Answer:

Solution:

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Question: The displacement of a charge Q in the electric field $E = e_{1} \hat{i} + e_{2} \hat{j} + e_{3} \hat{k}$ is $\hat{r} = a \hat{i} + b \hat{j}$ . The work done is [EAMCET (Engg.) 2000]