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Electrostatic Potential and Capacitance

Combination of capacitors

Four capacitors are connected in series with a battery of emf

Question

Medium

Solving time: 3 mins

Four capacitors are connected in series with a battery of emf $10 V$ as shown in the figure. The point $P$ is earthed. The potential of point $A$ is equal in magnitude to potential of point $B$ but opposite in sign if

C_{1} + C_{2} + C_{3} = C_{4}

\frac{1}{C _{1}} + \frac{1}{C _{2}} + \frac{1}{C _{3}} = \frac{1}{C _{4}}

\frac{C _{1} C _{2} C _{3}}{C _{1}^{2} + C _{2}^{2} + C _{3}^{2}} = C_{4}

It is never possible

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Book:

Electricity and Magnetism (DC Pandey)

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Daniel Discussed

Four capacitors are connected in series with a battery of emf

10 V

as shown in the figure. The point

P

is earthed. The potential of point

A

is equal in magnitude to potential of point

B

but opposite in sign if

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

C_{AP}

and

C_{PB}

are in series so charge on each is same.
thus,

Q_{AP} = Q_{PB} \Rightarrow C_{AP} V_{AP} = C_{PB} V_{PB}

Here,

V_{AP} = V_{PB}

C_{AP} = C_{PB}

thus,

(1/ C_{1} + 1/ C_{2} + 1/ C_{3})^{- 1} = C_{4}

\frac{1}{C _{4}} = \frac{1}{C _{1}} + \frac{1}{C _{2}} + \frac{1}{C _{3}}

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Question Text	Four capacitors are connected in series with a battery of emf $10 V$ as shown in the figure. The point $P$ is earthed. The potential of point $A$ is equal in magnitude to potential of point $B$ but opposite in sign if
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	96

Four capacitors are connected in series with a battery of emf $10 V$ as shown in the figure. The point $P$ is earthed. The potential of point $A$ is equal in magnitude to potential of point $B$ but opposite in sign if

Text solutionVerified

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Four capacitors are connected in series with a battery of emf 10 V as shown in the figure. The point P is earthed. The potential of point A is equal in magnitude to potential of point B but opposite in sign if

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Four capacitors are connected in series with a battery of emf $10 V$ as shown in the figure. The point $P$ is earthed. The potential of point $A$ is equal in magnitude to potential of point $B$ but opposite in sign if