JEE Main 2026 — Alternating Current Question with Solution
JEE Main 2026 (04 April Shift 1)
Question
An inductor of mH, capacitor of F and a resistor of are connected in series across an power supply V, Hz. The power factor of the given circuit is . The difference in the inductive reactance and capacitance reactance is . The value of is _____.
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Show full solutionCorrect answer: 100
Correct answer
100
Step-by-step explanation
The power factor of an LCR series circuit is given by .
Given and .
Substituting the values, we get:
The impedance of the circuit is also given by:
Squaring both sides and substituting the values of and :
The difference in inductive and capacitive reactance is given as .
Comparing the two expressions:
Answer:
Given and .
Substituting the values, we get:
The impedance of the circuit is also given by:
Squaring both sides and substituting the values of and :
The difference in inductive and capacitive reactance is given as .
Comparing the two expressions:
Answer:
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This is a previous-year question from JEE Main 2026, covering the Alternating Current chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.