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A resistance of 50W, an inductance of 20/p henry and a capacitor of 5/p mF are connected in series with an A.C. source of 230 volt and 50Hz. The impedance of circuit is
  • a)
    5W
  • b)
    50W
  • c)
    5KW
  • d)
    500W
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A resistance of 50W, an inductance of 20/p henry and a capacitor of 5/...
Given, R=50W, L=(20/π)H and C=(5/π)mF
Voltage supply, V=230V.
v=50Hz
Since, XL= ω=2πvL=2πx50x(20/π)=XL=2000 Ω
And, XC= 1/ωC=1/2πvL=1/[2πx50x(5/π)x10-6]=(1000/500) x103
So, impedance, Z=√[(XL-XC)2+R2]
Z=√[(2000-2000)2+502]
Z=50Ω
Hence, Option B is correct.
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Most Upvoted Answer
A resistance of 50W, an inductance of 20/p henry and a capacitor of 5/...
Calculation of Impedance

To calculate the impedance of the circuit, we use the formula:

Z = √(R² + (Xl - Xc)²)

Where R is the resistance, Xl is the inductive reactance and Xc is the capacitive reactance.

Applying the values given in the question, we get:

R = 50Ω
Xl = 2πfL = 20/πΩ
Xc = 1/(2πfC) = 1/(2π*50*5/10^9) = 63.66Ω

Substituting the values in the formula, we get:

Z = √(50² + (20/π - 63.66)²)
= √(2500 + 16.44²)
= √(2500 + 270.99)
= √2770.99
= 52.63Ω

Therefore, the impedance of the circuit is 52.63Ω, which is closest to option B (50Ω).
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A resistance of 50W, an inductance of 20/p henry and a capacitor of 5/p mF are connected in series with an A.C. source of 230 volt and 50Hz. The impedance of circuit isa)5Wb)50Wc)5KWd)500WCorrect answer is option 'B'. Can you explain this answer?
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A resistance of 50W, an inductance of 20/p henry and a capacitor of 5/p mF are connected in series with an A.C. source of 230 volt and 50Hz. The impedance of circuit isa)5Wb)50Wc)5KWd)500WCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A resistance of 50W, an inductance of 20/p henry and a capacitor of 5/p mF are connected in series with an A.C. source of 230 volt and 50Hz. The impedance of circuit isa)5Wb)50Wc)5KWd)500WCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A resistance of 50W, an inductance of 20/p henry and a capacitor of 5/p mF are connected in series with an A.C. source of 230 volt and 50Hz. The impedance of circuit isa)5Wb)50Wc)5KWd)500WCorrect answer is option 'B'. Can you explain this answer?.
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