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A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination is
- a)C₂/C₁ + C₂ V₀
- b)C₁/C₁ + C₂ V₀
- c)C₁ + C₂/C₂ V₀
- d)C₁ + C₂/C₁ V₀
Correct answer is option 'B'. Can you explain this answer?
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A capacitor of capacity C₁ is charged by connecting it across a ...
Explanation:
When a capacitor of capacity C is charged by connecting it across a battery of emf V, the charge on the capacitor is given by Q = CV, where Q is the charge and C is the capacitance.
After the battery is removed, the charged capacitor is connected in parallel with an uncharged capacitor of the same capacitance C.
Charging a Capacitor:
1. The charge on the capacitor is given by Q = CV, where Q is the charge and C is the capacitance.
2. The potential difference across the capacitor is V = Q/C.
3. So, when the capacitor is charged by connecting it across a battery of emf V, the potential difference across the capacitor becomes V.
Connecting Capacitors in Parallel:
1. When capacitors are connected in parallel, the potential difference across each capacitor is the same.
2. The total capacitance of the combination is given by C_total = C + C = 2C.
Potential Difference across the Combination:
1. When the charged capacitor is connected in parallel with the uncharged capacitor, the total capacitance is 2C.
2. The total charge on the combination is the sum of the charges on each capacitor, which is Q_total = Q + 0 = Q.
3. The potential difference across the combination is given by V_total = Q_total / C_total.
4. Substituting the values, we get V_total = Q / (2C) = (Q / C) * (1 / 2) = (CV) / (2C) = V / 2.
Therefore, the potential difference across the combination of capacitors is V / 2, which is option B.
When a capacitor of capacity C is charged by connecting it across a battery of emf V, the charge on the capacitor is given by Q = CV, where Q is the charge and C is the capacitance.
After the battery is removed, the charged capacitor is connected in parallel with an uncharged capacitor of the same capacitance C.
Charging a Capacitor:
1. The charge on the capacitor is given by Q = CV, where Q is the charge and C is the capacitance.
2. The potential difference across the capacitor is V = Q/C.
3. So, when the capacitor is charged by connecting it across a battery of emf V, the potential difference across the capacitor becomes V.
Connecting Capacitors in Parallel:
1. When capacitors are connected in parallel, the potential difference across each capacitor is the same.
2. The total capacitance of the combination is given by C_total = C + C = 2C.
Potential Difference across the Combination:
1. When the charged capacitor is connected in parallel with the uncharged capacitor, the total capacitance is 2C.
2. The total charge on the combination is the sum of the charges on each capacitor, which is Q_total = Q + 0 = Q.
3. The potential difference across the combination is given by V_total = Q_total / C_total.
4. Substituting the values, we get V_total = Q / (2C) = (Q / C) * (1 / 2) = (CV) / (2C) = V / 2.
Therefore, the potential difference across the combination of capacitors is V / 2, which is option B.
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A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct answer is option 'B'. Can you explain this answer?
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A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct 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 A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct 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 A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct answer is option 'B'. Can you explain this answer?.
A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct 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 A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct 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 A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct answer is option 'B'. Can you explain this answer?.
Solutions for A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A capacitor of capacity C₁ is charged by connecting it across a battery of e.m.f. V₀. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity C₂. The potential difference across this combination isa)C₂/C₁ + C₂ V₀b)C₁/C₁ + C₂ V₀c)C₁ + C₂/C₂ V₀d)C₁ + C₂/C₁ V₀Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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