SATHEE: electrostatic-potential-and-capacitance Question 4

Electrostatic Potential And Capacitance

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electrostatic-potential-and-capacitance Question 4

Question: Q. 1. A point charge $Q$ is placed at point ’ $O$ ’ as shown in figure. Is the potential at point $A$ , i.e., $V_{A^{'}}$ greater, smaller or equal to potential, $V_{B}$ at point $B$ , when $Q$ is (i) positive, and (ii) negative charge?

U] [Foreign I, II, III 2017]

$O ∙ A ∙ B ∙$

Show Answer

Solution:

Ans. (i) $V_{A} > V_{B}$ $1 / 2$ (ii) $V_{A} < V_{B}$

[CBSE Marking Scheme 2017]

Detailed Answer :

Let $r_{A}$ is the distance of point $A$ from point charge $Q$ and $r_{B}$ is the distance of point $B$ from point charge $Q$ .

Potential at point $A$ :

$V (r_{A}) = \frac{1}{4 π ε_{0}} \cdot \frac{Q}{r_{A}}$

Potential at point $B$ :

$V (r_{B}) = \frac{1}{4 π ε_{0}} \cdot \frac{Q}{r_{B}}$

Since $r_{A} < r_{B}$ , so when :

charge $Q$ is positive; $V_{A} > V_{B}$

charge $Q$ is negative; $V_{A} < V_{B}$

Electrostatic Potential And Capacitance

electrostatic-potential-and-capacitance Question 4

Detailed Answer :

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Electrostatic Potential And Capacitance

electrostatic-potential-and-capacitance Question 4

Detailed Answer :

Table of Contents

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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