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Electrostatic Potential and Capacitance

Energy stored in a capacitor and energy density in electric field

In the figure shown, [https://lh3.googleusercontent.com/Eye9wb

Question

Medium

Solving time: 3 mins

In the figure shown,

(a) Find $q_{1}$ to $q_{6}$ .
(b) Total electrostatic potential energy.

Views: 6,023 students

Book:

Electricity and Magnetism (DC Pandey)

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Evelyn Discussed

In the figure shown,

(a) Find

q_{1}

q_{6}

.
(b) Total electrostatic potential energy.

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

Solution (a)

q_{1} = 0

q_{2} = 4 q

q_{3} = - q_{2} = - 4 q

q_{4} = 2 q - q_{3} = 6 q

q_{5} = - q_{4} = - 6 q

q_{6} = q - q_{5} = 7 q

(b)

U_{Total} = U_{1} + U_{2} + U_{3}

Here,
where,

U_{1} = \frac{1}{2} \frac{( 4 q ) ^{2}}{C _{1}}

C_{1} = \frac{4 π ε _{0}}{\frac{1}{R} - \frac{1}{2 R}}

U_{2} = \frac{1}{2} \frac{( 6 q ) ^{2}}{C _{2}}

where,
and

C_{2} = \frac{4 π ε _{0}}{\frac{1}{2 R} - \frac{1}{3 R}}

U_{3} = \frac{1}{2} \frac{( 7 q ) ^{2}}{C _{3}}

where,

C_{3} = \frac{4 π ε _{0}}{\frac{1}{3 R} - \frac{1}{\infty}} = 4 π ε_{0} (3 R)

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Question Text	In the figure shown, (a) Find $q_{1}$ to $q_{6}$ . (b) Total electrostatic potential energy.
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	120

In the figure shown,

(a) Find $q_{1}$ to $q_{6}$ .
(b) Total electrostatic potential energy.

Text solutionVerified

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