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The voltage of a capacitor 12F with a rating of 2J energy is
- a)0.57
- b)5.7
- c)57
- d)570
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The voltage of a capacitor 12F with a rating of 2J energy isa)0.57b)5....
We can compute the energy stored in a capacitor from Stoke’s theorem as 0.5Cv2. Thus given energy is 0.5 X 12 X v2.
We get v = 0.57 volts.
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Community Answer
The voltage of a capacitor 12F with a rating of 2J energy isa)0.57b)5....
Understanding Capacitor Energy
To find the voltage across a capacitor based on its energy and capacitance, we can use the energy formula for a capacitor:
Energy Formula
- The energy (E) stored in a capacitor is given by the formula:
E = 0.5 * C * V^2
where:
- E = energy in joules (J)
- C = capacitance in farads (F)
- V = voltage in volts (V)
Given Values
- Capacitance (C) = 12 F
- Energy (E) = 2 J
Calculating Voltage
1. Rearranging the energy formula to solve for voltage (V):
V^2 = (2 * E) / C
2. Plugging in the values:
V^2 = (2 * 2 J) / 12 F
V^2 = 4 / 12
V^2 = 0.333...
3. Taking the square root:
V = √0.333...
V ≈ 0.577 (approximately 0.57)
Conclusion
- The calculated voltage for the given capacitor is approximately 0.57 volts.
- Therefore, the correct answer is option 'A' (0.57).
To find the voltage across a capacitor based on its energy and capacitance, we can use the energy formula for a capacitor:
Energy Formula
- The energy (E) stored in a capacitor is given by the formula:
E = 0.5 * C * V^2
where:
- E = energy in joules (J)
- C = capacitance in farads (F)
- V = voltage in volts (V)
Given Values
- Capacitance (C) = 12 F
- Energy (E) = 2 J
Calculating Voltage
1. Rearranging the energy formula to solve for voltage (V):
V^2 = (2 * E) / C
2. Plugging in the values:
V^2 = (2 * 2 J) / 12 F
V^2 = 4 / 12
V^2 = 0.333...
3. Taking the square root:
V = √0.333...
V ≈ 0.577 (approximately 0.57)
Conclusion
- The calculated voltage for the given capacitor is approximately 0.57 volts.
- Therefore, the correct answer is option 'A' (0.57).
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The voltage of a capacitor 12F with a rating of 2J energy isa)0.57b)5.7c)57d)570Correct answer is option 'A'. Can you explain this answer?
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The voltage of a capacitor 12F with a rating of 2J energy isa)0.57b)5.7c)57d)570Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The voltage of a capacitor 12F with a rating of 2J energy isa)0.57b)5.7c)57d)570Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The voltage of a capacitor 12F with a rating of 2J energy isa)0.57b)5.7c)57d)570Correct answer is option 'A'. Can you explain this answer?.
The voltage of a capacitor 12F with a rating of 2J energy isa)0.57b)5.7c)57d)570Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The voltage of a capacitor 12F with a rating of 2J energy isa)0.57b)5.7c)57d)570Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The voltage of a capacitor 12F with a rating of 2J energy isa)0.57b)5.7c)57d)570Correct answer is option 'A'. Can you explain this answer?.
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