Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202329 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
29 January
Shift
Evening Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2023 · 29 January · Evening Shift · Physics · Alternating Current

An inductor of inductance 2μ H is connected in series with a...

An inductor of inductance 2μH2\mu H is connected in series with a resistance, a variable capacitor and an AC source of frequency 7kHz7kHz. The value of capacitance for which maximum current is drawn into the circuit is 1xF\dfrac{1}{x}F, where the value of xx is ______.

(Take π=227\pi = \dfrac{22}{7})

Correct answer

0

Step-by-step solution

For maximum current in series LCR circuit,

XC=XL⇒12\pifC=2\pifL{X}_{C} = {X}_{L} ⇒ \dfrac{1}{2\pifC} = 2\pifL

⇒C=14π2f2L=14×π2×49×106×2×10−6⇒ C = \dfrac{1}{4{\pi}^{2}{f}^{2}L} = \dfrac{1}{4 \times {\pi}^{2} \times 49 \times {10}^{6} \times 2 \times {10}^{- 6}}

⇒C=13872F⇒ C = \dfrac{1}{3872}F

Therefore, x=3872x = 3872.

Practice Alternating Current on Quantrex Academy →

More from Alternating Current

Consider a circuit consisting of a capacitor of capacitance C and a coil with N turns per… JEE Advanced 2026A LCR series circuit driven with E_ rms = 90 V at frequency f_d = 30 Hz has resistance R… JEE Main 2026A series LCR circuit with R = 20\ Ω , L = 1.6 H and C = 40\ is connected to a variable… JEE Main 2026An a.c. source of angular frequency ω is connected across a resistor R and a capacitor C… JEE Main 2026An inductor of 10 mH, capacitor of 0.1\ μ F and a resistor of 100\ Ω are connected in… JEE Main 2026The figure given below shows an LCR series circuit with two switches S_1 and S_2 . When… JEE Main 2026An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy… JEE Main 2026The electric current in the circuit is given as i=i_ o (t / T) . The r.m.s current for… JEE Main 2026 Full Alternating Current list All JEE Main PYQs