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An inductor 20mH, a capacitor 50microF and a resistor of 40ohm are connected In series across a source of emf V=10sin340t. What is the power loss in AC circuit ?
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An inductor 20mH, a capacitor 50microF and a resistor of 40ohm are con...
Calculation of Power Loss in AC Circuit
Given Data:
- Inductor (L) = 20mH
- Capacitor (C) = 50microF
- Resistor (R) = 40ohm
- EMF (V) = 10sin340t
Explanation:
When an AC circuit is connected in a series, the current flowing through different components is in phase, and the voltage across each component is not the same. The voltage across the capacitor leads the current by 90 degrees, whereas the voltage across the inductor lags the current by 90 degrees. The voltage across the resistor is in phase with the current.
Using Ohm's law, we can find the current flowing through the circuit:
I = V/Z
Where Z is the impedance of the circuit, given by:
Z = R + j(XL - XC)
Here, XL is the inductive reactance given by XL = 2πfL, and XC is the capacitive reactance given by XC = 1/2πfC.
Using these equations, we can find the impedance Z and the current I flowing through the circuit. The power loss in the circuit can be calculated using the formula:
P = I^2R
Calculation:
Using the given values, we can calculate the impedance of the circuit:
XL = 2πfL = 2π(340)(20x10^-3) = 4.28ohm
XC = 1/2πfC = 1/(2π(340)(50x10^-6)) = 93.46ohm
Z = R + j(XL - XC) = 40 + j(-89.18)ohm
Using Ohm's law, we can find the current flowing through the circuit:
I = V/Z = 10sin340t/(40 - j89.18)A
The power loss in the circuit can be calculated using the formula:
P = I^2R = (10sin340t/(40 - j89.18))^2 x 40W
Answer:
The power loss in the AC circuit is given by the expression (10sin340t/(40 - j89.18))^2 x 40W.
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An inductor 20mH, a capacitor 50microF and a resistor of 40ohm are connected In series across a source of emf V=10sin340t. What is the power loss in AC circuit ?
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An inductor 20mH, a capacitor 50microF and a resistor of 40ohm are connected In series across a source of emf V=10sin340t. What is the power loss in AC circuit ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An inductor 20mH, a capacitor 50microF and a resistor of 40ohm are connected In series across a source of emf V=10sin340t. What is the power loss in AC circuit ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inductor 20mH, a capacitor 50microF and a resistor of 40ohm are connected In series across a source of emf V=10sin340t. What is the power loss in AC circuit ?.
An inductor 20mH, a capacitor 50microF and a resistor of 40ohm are connected In series across a source of emf V=10sin340t. What is the power loss in AC circuit ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An inductor 20mH, a capacitor 50microF and a resistor of 40ohm are connected In series across a source of emf V=10sin340t. What is the power loss in AC circuit ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An inductor 20mH, a capacitor 50microF and a resistor of 40ohm are connected In series across a source of emf V=10sin340t. What is the power loss in AC circuit ?.
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