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R and C are connected in parallel across a sinusoidal voltage source of 240 V. If the currents through the source and the capacitor are 5A and 4A respectively, what is the value of R?
- a)14 Ω
- b)48 Ω
- c)80 Ω
- d)240 Ω
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
R and C are connected in parallel across a sinusoidal voltage source o...
Current in the resistor is in phase with the supply voltage
Current in the capacitor leads the supply voltage by 90°
From the below triangle
Ir = 3 A
V = I R
240 = 3 × R
R = 240/3 = 80 Ω
Current in the capacitor leads the supply voltage by 90°
From the below triangle
Ir = 3 A
V = I R
240 = 3 × R
R = 240/3 = 80 Ω
Most Upvoted Answer
R and C are connected in parallel across a sinusoidal voltage source o...
To find the value of R, we can use the formula for current in a parallel circuit:
1/RTotal = 1/R + 1/C
Where RTotal is the total resistance of the circuit, R is the resistance, and C is the capacitance.
Given that the total current through the source is 5A and the current through the capacitor is 4A, we can write:
5A = 4A + 1/RTotal
Rearranging the equation, we have:
1/RTotal = 5A - 4A = 1A
1/RTotal = 1A
Therefore, the total resistance of the circuit is 1 ohm.
Since the resistance R is connected in parallel to the capacitor, they have the same voltage across them. The voltage across the capacitor is the same as the source voltage, which is 240V.
Using Ohm's Law:
V = IR
240V = 4A * R
R = 240V / 4A
R = 60 ohms
Therefore, the value of R is 60 ohms.
1/RTotal = 1/R + 1/C
Where RTotal is the total resistance of the circuit, R is the resistance, and C is the capacitance.
Given that the total current through the source is 5A and the current through the capacitor is 4A, we can write:
5A = 4A + 1/RTotal
Rearranging the equation, we have:
1/RTotal = 5A - 4A = 1A
1/RTotal = 1A
Therefore, the total resistance of the circuit is 1 ohm.
Since the resistance R is connected in parallel to the capacitor, they have the same voltage across them. The voltage across the capacitor is the same as the source voltage, which is 240V.
Using Ohm's Law:
V = IR
240V = 4A * R
R = 240V / 4A
R = 60 ohms
Therefore, the value of R is 60 ohms.
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R and C are connected in parallel across a sinusoidal voltage source of 240 V. If the currents through the source and the capacitor are 5A and 4A respectively, what is the value of R?a)14 Ωb)48 Ωc)80 Ωd)240 ΩCorrect answer is option 'C'. Can you explain this answer?
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R and C are connected in parallel across a sinusoidal voltage source of 240 V. If the currents through the source and the capacitor are 5A and 4A respectively, what is the value of R?a)14 Ωb)48 Ωc)80 Ωd)240 ΩCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about R and C are connected in parallel across a sinusoidal voltage source of 240 V. If the currents through the source and the capacitor are 5A and 4A respectively, what is the value of R?a)14 Ωb)48 Ωc)80 Ωd)240 ΩCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for R and C are connected in parallel across a sinusoidal voltage source of 240 V. If the currents through the source and the capacitor are 5A and 4A respectively, what is the value of R?a)14 Ωb)48 Ωc)80 Ωd)240 ΩCorrect answer is option 'C'. Can you explain this answer?.
R and C are connected in parallel across a sinusoidal voltage source of 240 V. If the currents through the source and the capacitor are 5A and 4A respectively, what is the value of R?a)14 Ωb)48 Ωc)80 Ωd)240 ΩCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about R and C are connected in parallel across a sinusoidal voltage source of 240 V. If the currents through the source and the capacitor are 5A and 4A respectively, what is the value of R?a)14 Ωb)48 Ωc)80 Ωd)240 ΩCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for R and C are connected in parallel across a sinusoidal voltage source of 240 V. If the currents through the source and the capacitor are 5A and 4A respectively, what is the value of R?a)14 Ωb)48 Ωc)80 Ωd)240 ΩCorrect answer is option 'C'. Can you explain this answer?.
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