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A 30 microF capacitor is connected across a 400V, 50Hz supply. Calculate the capacitive reac-tance.
- a)102 ohm
- b)123.4 ohm
- c)106.2 ohm
- d)143.2 ohm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A 30 microF capacitor is connected across a 400V, 50Hz supply. Calcula...
We know that: Xc=1/(2*f*pi*C).
Substituting the values from the given question, we get Xc= 106.2 ohm.
Substituting the values from the given question, we get Xc= 106.2 ohm.
Most Upvoted Answer
A 30 microF capacitor is connected across a 400V, 50Hz supply. Calcula...
Understanding Capacitive Reactance
Capacitive reactance (Xc) is the opposition that a capacitor offers to the flow of alternating current (AC). It is calculated using the formula:
Xc = 1 / (2 * π * f * C)
where:
- Xc = capacitive reactance (in ohms)
- f = frequency (in hertz)
- C = capacitance (in farads)
Given Values
- Capacitance (C) = 30 microfarads = 30 x 10^-6 F
- Frequency (f) = 50 Hz
Step-by-Step Calculation
1. Convert Capacitance:
C = 30 microfarads = 30 x 10^-6 F
2. Calculate Capacitive Reactance:
Substitute the values into the formula:
Xc = 1 / (2 * π * 50 * 30 x 10^-6)
3. Perform the Calculation:
- Calculate 2 * π * 50 = 314.16
- Calculate 314.16 * 30 x 10^-6 = 0.0094248
- Finally, Xc = 1 / 0.0094248 ≈ 106.2 ohms
Conclusion
The capacitive reactance of a 30 microfarad capacitor connected across a 400V, 50Hz supply is approximately 106.2 ohms. Thus, the correct answer is option 'C'. This value indicates how much the capacitor resists the AC current at the given frequency, impacting the overall impedance in the circuit.
Capacitive reactance (Xc) is the opposition that a capacitor offers to the flow of alternating current (AC). It is calculated using the formula:
Xc = 1 / (2 * π * f * C)
where:
- Xc = capacitive reactance (in ohms)
- f = frequency (in hertz)
- C = capacitance (in farads)
Given Values
- Capacitance (C) = 30 microfarads = 30 x 10^-6 F
- Frequency (f) = 50 Hz
Step-by-Step Calculation
1. Convert Capacitance:
C = 30 microfarads = 30 x 10^-6 F
2. Calculate Capacitive Reactance:
Substitute the values into the formula:
Xc = 1 / (2 * π * 50 * 30 x 10^-6)
3. Perform the Calculation:
- Calculate 2 * π * 50 = 314.16
- Calculate 314.16 * 30 x 10^-6 = 0.0094248
- Finally, Xc = 1 / 0.0094248 ≈ 106.2 ohms
Conclusion
The capacitive reactance of a 30 microfarad capacitor connected across a 400V, 50Hz supply is approximately 106.2 ohms. Thus, the correct answer is option 'C'. This value indicates how much the capacitor resists the AC current at the given frequency, impacting the overall impedance in the circuit.
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Community Answer
A 30 microF capacitor is connected across a 400V, 50Hz supply. Calcula...
We know that: Xc=1/(2*f*pi*C).
Substituting the values from the given question, we get Xc= 106.2 ohm.
Substituting the values from the given question, we get Xc= 106.2 ohm.
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A 30 microF capacitor is connected across a 400V, 50Hz supply. Calculate the capacitive reac-tance.a)102 ohmb)123.4 ohmc)106.2 ohmd)143.2 ohmCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 30 microF capacitor is connected across a 400V, 50Hz supply. Calculate the capacitive reac-tance.a)102 ohmb)123.4 ohmc)106.2 ohmd)143.2 ohmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 30 microF capacitor is connected across a 400V, 50Hz supply. Calculate the capacitive reac-tance.a)102 ohmb)123.4 ohmc)106.2 ohmd)143.2 ohmCorrect answer is option 'C'. Can you explain this answer?.
A 30 microF capacitor is connected across a 400V, 50Hz supply. Calculate the capacitive reac-tance.a)102 ohmb)123.4 ohmc)106.2 ohmd)143.2 ohmCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 30 microF capacitor is connected across a 400V, 50Hz supply. Calculate the capacitive reac-tance.a)102 ohmb)123.4 ohmc)106.2 ohmd)143.2 ohmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 30 microF capacitor is connected across a 400V, 50Hz supply. Calculate the capacitive reac-tance.a)102 ohmb)123.4 ohmc)106.2 ohmd)143.2 ohmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A 30 microF capacitor is connected across a 400V, 50Hz supply. Calculate the capacitive reac-tance.a)102 ohmb)123.4 ohmc)106.2 ohmd)143.2 ohmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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