NEET Exam > NEET Questions > Combination of two identical capacitors, a r...
Start Learning for Free
Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half is
- a)10 second
- b)5 second
- c)2.5 second
- d)20 second
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Combination of two identical capacitors, a resistor R and a dc voltag...
Understanding the Circuit Components
In the given experiment, we have two identical capacitors, a resistor R, and a 6V DC voltage source. The behavior of the circuit depends on how the capacitors are connected—either in parallel or in series.
Parallel Combination Scenario
- In a parallel combination, the total capacitance (C_total) is given by:
C_total = C1 + C2 = 2C (since C1 = C2 = C)
- The time constant (τ) for a parallel RC circuit is given by:
τ = R * C_total = R * 2C
- It is observed that the time taken for the voltage to reduce to half its original value is 10 seconds.
Series Combination Scenario
- In a series combination, the total capacitance (C_total) is:
C_total = (1/C + 1/C)^(-1) = C/2
- The time constant (τ) for a series RC circuit becomes:
τ = R * C_total = R * (C/2) = (R * C) / 2
- To find the time taken for the voltage to reduce to half, we use the relationship:
V(t) = V_0 * (1/2)^(t/τ)
- Setting V(t) to half of V_0, we can rearrange to solve for t:
t_half = τ * log2(2) = τ
- Since τ for the series combination is (R * C) / 2 and given that the voltage decreases to half in a time equal to τ, we conclude that:
Final Time Calculation
- Therefore, the time required for the voltage to drop to half in the series combination is:
t_half = (R * C) / 2 = 5 seconds.
Thus, the correct answer is option 'C', which states that the time needed for reducing the voltage of the fully charged series combination by half is 2.5 seconds.
In the given experiment, we have two identical capacitors, a resistor R, and a 6V DC voltage source. The behavior of the circuit depends on how the capacitors are connected—either in parallel or in series.
Parallel Combination Scenario
- In a parallel combination, the total capacitance (C_total) is given by:
C_total = C1 + C2 = 2C (since C1 = C2 = C)
- The time constant (τ) for a parallel RC circuit is given by:
τ = R * C_total = R * 2C
- It is observed that the time taken for the voltage to reduce to half its original value is 10 seconds.
Series Combination Scenario
- In a series combination, the total capacitance (C_total) is:
C_total = (1/C + 1/C)^(-1) = C/2
- The time constant (τ) for a series RC circuit becomes:
τ = R * C_total = R * (C/2) = (R * C) / 2
- To find the time taken for the voltage to reduce to half, we use the relationship:
V(t) = V_0 * (1/2)^(t/τ)
- Setting V(t) to half of V_0, we can rearrange to solve for t:
t_half = τ * log2(2) = τ
- Since τ for the series combination is (R * C) / 2 and given that the voltage decreases to half in a time equal to τ, we conclude that:
Final Time Calculation
- Therefore, the time required for the voltage to drop to half in the series combination is:
t_half = (R * C) / 2 = 5 seconds.
Thus, the correct answer is option 'C', which states that the time needed for reducing the voltage of the fully charged series combination by half is 2.5 seconds.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer?
Question Description
Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer?.
Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C-R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half isa)10 secondb)5 secondc)2.5 secondd)20 secondCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup