SATHEE: Electrostatics Question 719

Electrostatics Question 719

Question: A point charge $50 μ C$ is located in the x-y plane at a point whose position vector is $\vec{r} = (2 \hat{i} + 3 \hat{j}) m .$ Then electric field at the point whose position vector is $\vec{r} = (8 \hat{i} - 5 \hat{j}) m .$ (in vector form) will be

Options:

A) $90 (- 3 \hat{i} + 4 \hat{j}) V / m$

B) $900 (3 \hat{i} - 4 \hat{j}) V / m$

C) $90 (3 \hat{i} - 4 \hat{j}) V / m$

D) (d) $900 (- 3 \hat{i} + 4 \hat{j}) V / m$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $\vec{E} = \frac{k Q}{r^{3}} \vec{r} = \frac{9 \times 10^{9} \times 50 \times 10^{- 6}}{| \vec{r} - {\vec{r}}_{0} |^{3}} \times (\vec{r} - {\vec{r}}_{0})$

Where $\vec{r} - {\vec{r}}_{0} = (8 \hat{i} - 5 \hat{j}) - (2 \hat{i} + 3 \hat{j}) = 6 \hat{i} - 8 \hat{j}$

$\vec{E} = 900 (3 \hat{i} - 4 \hat{j}) V / m$

Electrostatics Question 719

Question: A point charge $50 μ C$ is located in the x-y plane at a point whose position vector is $\vec{r} = (2 \hat{i} + 3 \hat{j}) m .$ Then electric field at the point whose position vector is $\vec{r} = (8 \hat{i} - 5 \hat{j}) m .$ (in vector form) will be

Options:

Answer:

Solution:

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Electrostatics Question 719

Question: A point charge 50μC is located in the x-y plane at a point whose position vector is r→=(2i^+3j^)m. Then electric field at the point whose position vector is r→=(8i^−5j^)m. (in vector form) will be

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: A point charge $50 μ C$ is located in the x-y plane at a point whose position vector is $\vec{r} = (2 \hat{i} + 3 \hat{j}) m .$ Then electric field at the point whose position vector is $\vec{r} = (8 \hat{i} - 5 \hat{j}) m .$ (in vector form) will be