Student Login

Home›Chapters›Alternating Current PYQs›Series LCR Circuit›Question 41

MHT CET 2023 (10 May, Shift 2) · Series LCR Circuit

Series LCR Circuit question from MHT CET 2023 (10 May, Shift 2)

Q41MHT CET 2023 · 10 MAY · SHIFT 2Medium

Series LCR Circuit

With an alternating voltage source of frequency ' $f$ ', inductor ' $L$ ', capacitor ' $C$ ' and resistance ' $R$ ' are connected in series. The voltage leads the current by $45^\circ$ . The value of ' $L$ ' is $(\tan 45^\circ = 1)$

Show answer and solution

Answer: (a)

Voltage leads by $45^\circ$ : $X_L - X_C = R\tan 45^\circ = R$ .
$2\pi fL = \dfrac{1}{2\pi fC} + R = \dfrac{1 + 2\pi fCR}{2\pi fC}$
$L = \dfrac{1 + 2\pi fCR}{4\pi^2f^2C}$
So the answer is (a).

Report a mistake

More questions on Series LCR Circuit

If L, C and R are the self inductance, capacitance and resistance respectively, which of…JEE Main 2022 (27 Jun, Shift 2)
A sinusoidal voltage V(t) = 200sin 2000t volt is applied to a series LCR circuit in which…JEE Main 2022 (30 Jul, Shift 2)
A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in…JEE Main 2022 (25 Jun, Shift 2)
In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50…JEE Main 2022 (28 Jun, Shift 2)
A circuit element X when connected to an a.c. supply of peak voltage 100 V gives a peak…JEE Main 2022 (29 Jul, Shift 2)
For series LCR circuit, which one of the following is a CORRECT statement?MHT CET 2021 (23 Sep, Shift 1)
In an LCR series a.c. circuit, the voltage across each of the components L, C and R is 60…MHT CET 2021 (23 Sep, Shift 1)
In an ac circuit, an inductor, a capacitor and a resistor are connected in series with XL…JEE Main 2021 (31 Aug, Shift 1)