Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

Class 12

Physics

Electrostatic Potential and Capacitance

Combination of capacitors

A 1 {F} capacitor and a 2 {F} capacitor are connected in ser

Question

Hard

Solving time: 4 mins

A $1 μ F$ capacitor and a $2 μ F$ capacitor are connected in series across a $1200 V$ supply line.
(a) Find the charge on each capacitor and the voltage across them.
(b) The charged capacitors are disconnected from the line and from each other and reconnected with terminals of like sign together. Find the final charge on each and the voltage across them.

Views: 5,629 students

Book:

Electricity and Magnetism (DC Pandey)

Found 5 tutors discussing this question

Liam Discussed

1 μ F

capacitor and a

2 μ F

capacitor are connected in series across a

1200 V

supply line.
(a) Find the charge on each capacitor and the voltage across them.
(b) The charged capacitors are disconnected from the line and from each other and reconnected with terminals of like sign together. Find the final charge on each and the voltage across them.

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

(a)

C_{net} = \frac{C _{1} C _{2}}{C _{1} + C _{2}} = \frac{2}{3} μ F

q_{net} = C_{net} V

= (\frac{2}{3} μ F) (1200 V)

= 800 μ C

In series,

q

remains same.

∴ q_{1} = q_{2} = 800 μ C

V_{1} = \frac{q _{1}}{C _{1}} = 800 V

and V_{2} = \frac{q _{2}}{C _{2}} = 400 V

(b) Now, total charge will become

1600 μ C

. This will now distribute in direct ratio of capacity.

∴ \frac{q _{1}}{q _{2}} = \frac{C _{1}}{C _{2}} = \frac{1}{2}

q_{1} = (\frac{1}{3}) (1600) = \frac{1600}{3} μ C

q_{2} = (\frac{2}{3}) (1600) = (\frac{3200}{3}) μ C

They will have a common potential (in parallel) given by

V = \frac{Total charge}{Total capacity}

= \frac{1600 μ C}{3 μ F}

= \frac{1600}{3} V

Was this solution helpful?

119

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	A $1 μ F$ capacitor and a $2 μ F$ capacitor are connected in series across a $1200 V$ supply line. (a) Find the charge on each capacitor and the voltage across them. (b) The charged capacitors are disconnected from the line and from each other and reconnected with terminals of like sign together. Find the final charge on each and the voltage across them.
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	119

Text solutionVerified

Practice questions from Electricity and Magnetism (DC Pandey)

Practice more questions from Electrostatic Potential and Capacitance

Practice questions on similar concepts asked by Filo students

Text solutionVerified

Practice questions from Electricity and Magnetism (DC Pandey)

Practice more questions from Electrostatic Potential and Capacitance

Practice questions on similar concepts asked by Filo students

Related books for questions on Electrostatic Potential and Capacitance