JEE Exam > JEE Questions > Two capacitors A and B of capacitance C and 2...
Start Learning for Free
Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.
- a)1 : 2
- b)2 : 1
- c)1 : 4
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Two capacitors A and B of capacitance C and 2C are connected in series...
CONCEPT:
Capacitor:
The capacitor is a device in which electrical energy can be stored.
- In a capacitor two conducting plates are connected parallel to each other and carrying charges of equal magnitudes and opposite signs and separated by an insulating medium.
- The space between the two plates can either be a vacuum or an electric insulator such as glass, paper, air, or a semi-conductor called a dielectric.
Capacitance:
Capacitance:
- The property to store energy in form of charge is called capacitance.
- The unit of capacitance is Farad.
- The charge on the capacitor (Q) is directly proportional to the potential difference (V) between the plates,
⇒ Q ∝ V
⇒ Q = CV
Where C = capacitance
Energy stored in the capacitor:
- If a capacitor of capacitance C is charged by a potential difference V, then the energy stored in the capacitor is given as,
CALCULATION:
Given QA = QB = Q, CA = C, and CB = 2C
- We know that when capacitors are connected in series, the magnitude of charge Q on each capacitor is the same.
- We know that the energy stored in the capacitor is given as,
By equation 1 for the capacitor A,
By equation 1 for the capacitor B,
By equation 2 and equation 3,
Hence option 2 is correct.
Free Test
FREE
| Start Free Test |
Community Answer
Two capacitors A and B of capacitance C and 2C are connected in series...
Explanation:
Given:
- Capacitance of capacitor A = C
- Capacitance of capacitor B = 2C
- Potential difference across capacitors = V
Energy stored in a capacitor:
The energy stored in a capacitor is given by the formula:
\[ U = \frac{1}{2} CV^2 \]
Calculating energy stored in capacitor A:
\[ U_A = \frac{1}{2} CV^2 \]
Calculating energy stored in capacitor B:
\[ U_B = \frac{1}{2} (2C)V^2 = CV^2 \]
Ratio of energy stored in capacitor A to capacitor B:
\[ \frac{U_A}{U_B} = \frac{\frac{1}{2} CV^2}{CV^2} = \frac{1}{2} \]
Therefore, the ratio of the energy stored in capacitor A to capacitor B is 1:2.
So, the correct answer is option 2 : 1.
Given:
- Capacitance of capacitor A = C
- Capacitance of capacitor B = 2C
- Potential difference across capacitors = V
Energy stored in a capacitor:
The energy stored in a capacitor is given by the formula:
\[ U = \frac{1}{2} CV^2 \]
Calculating energy stored in capacitor A:
\[ U_A = \frac{1}{2} CV^2 \]
Calculating energy stored in capacitor B:
\[ U_B = \frac{1}{2} (2C)V^2 = CV^2 \]
Ratio of energy stored in capacitor A to capacitor B:
\[ \frac{U_A}{U_B} = \frac{\frac{1}{2} CV^2}{CV^2} = \frac{1}{2} \]
Therefore, the ratio of the energy stored in capacitor A to capacitor B is 1:2.
So, the correct answer is option 2 : 1.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two capacitors A and B of capacitance C and 2C are connected in series across a potential difference V. Find the ratio of the energy stored in capacitor A to capacitor B.a)1 : 2b)2 : 1c)1 : 4d)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup