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If a resistance of 100 Ω, an inductance of 0.5 H and a capacitance of 10 x 10−6 F are connected in series with a 50 Hz AC supply, then what will be the impedance?
- a)1891.7 Ω
- b)190 Ω
- c)18.7 Ω
- d)1.87 Ω
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If a resistance of 100 Ω, an inductance of 0.5 H and a capacitan...
The impedance of an A.C. circuit containing resistance, inductance and capacitance is
Here : R = 100Ω,
L = 0.5 H
C = 10 x 10-6 F
f = 50 Hz
L = 0.5 H
C = 10 x 10-6 F
f = 50 Hz
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Community Answer
If a resistance of 100 Ω, an inductance of 0.5 H and a capacitan...
Impedance Calculation:
Impedance is the total opposition to the flow of alternating current in a circuit. In a series circuit, the impedance is the vector sum of resistance, inductive reactance and capacitive reactance.
Given Values:
- Resistance (R) = 100 Ω
- Inductance (L) = 0.5 H
- Capacitance (C) = 10 x 10^-6 F
- Frequency (f) = 50 Hz
Impedance Calculation Formula:
Z = √(R^2 + (XL - XC)^2)
Calculations:
- XL = 2πfL = 2 x 3.14 x 50 x 0.5 = 157 Ω (inductive reactance)
- XC = 1 / (2πfC) = 1 / (2 x 3.14 x 50 x 10 x 10^-6) = 3183 Ω (capacitive reactance)
- Z = √(100^2 + (157 - 3183)^2)
- Z = √(10000 + 3025)
- Z = √13025
- Z = 114.1 Ω
Therefore, the impedance of the circuit is approximately 114 Ω, which is closest to option B - 190 Ω.
Impedance is the total opposition to the flow of alternating current in a circuit. In a series circuit, the impedance is the vector sum of resistance, inductive reactance and capacitive reactance.
Given Values:
- Resistance (R) = 100 Ω
- Inductance (L) = 0.5 H
- Capacitance (C) = 10 x 10^-6 F
- Frequency (f) = 50 Hz
Impedance Calculation Formula:
Z = √(R^2 + (XL - XC)^2)
Calculations:
- XL = 2πfL = 2 x 3.14 x 50 x 0.5 = 157 Ω (inductive reactance)
- XC = 1 / (2πfC) = 1 / (2 x 3.14 x 50 x 10 x 10^-6) = 3183 Ω (capacitive reactance)
- Z = √(100^2 + (157 - 3183)^2)
- Z = √(10000 + 3025)
- Z = √13025
- Z = 114.1 Ω
Therefore, the impedance of the circuit is approximately 114 Ω, which is closest to option B - 190 Ω.
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If a resistance of 100 Ω, an inductance of 0.5 H and a capacitance of 10 x 10−6 F are connected in series with a 50 Hz AC supply, then what will be the impedance?a)1891.7Ωb)190Ωc)18.7Ωd)1.87ΩCorrect answer is option 'B'. Can you explain this answer?
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If a resistance of 100 Ω, an inductance of 0.5 H and a capacitance of 10 x 10−6 F are connected in series with a 50 Hz AC supply, then what will be the impedance?a)1891.7Ωb)190Ωc)18.7Ωd)1.87ΩCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If a resistance of 100 Ω, an inductance of 0.5 H and a capacitance of 10 x 10−6 F are connected in series with a 50 Hz AC supply, then what will be the impedance?a)1891.7Ωb)190Ωc)18.7Ωd)1.87ΩCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a resistance of 100 Ω, an inductance of 0.5 H and a capacitance of 10 x 10−6 F are connected in series with a 50 Hz AC supply, then what will be the impedance?a)1891.7Ωb)190Ωc)18.7Ωd)1.87ΩCorrect answer is option 'B'. Can you explain this answer?.
If a resistance of 100 Ω, an inductance of 0.5 H and a capacitance of 10 x 10−6 F are connected in series with a 50 Hz AC supply, then what will be the impedance?a)1891.7Ωb)190Ωc)18.7Ωd)1.87ΩCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If a resistance of 100 Ω, an inductance of 0.5 H and a capacitance of 10 x 10−6 F are connected in series with a 50 Hz AC supply, then what will be the impedance?a)1891.7Ωb)190Ωc)18.7Ωd)1.87ΩCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a resistance of 100 Ω, an inductance of 0.5 H and a capacitance of 10 x 10−6 F are connected in series with a 50 Hz AC supply, then what will be the impedance?a)1891.7Ωb)190Ωc)18.7Ωd)1.87ΩCorrect answer is option 'B'. Can you explain this answer?.
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