Verified Solution • 2025–26 Session moderate

QJEEM22Ph1db1: JEE Main 2022 Physics - Class 12 JEEM22Ph1db1 Solution: In the given circuit, the magnitude of V L and V C are twice…

In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil is 1Kπ{1 \over {K\pi }} mH. The value of K is ____________.

JEE Main 2022 (Online) 28th June Evening Shift Physics - Alternating Current Question 85 English

Step-by-Step Verified Solution

VL=2VR{V_L} = 2{V_R}

So ωLi=2 Ri\omega Li = 2\,Ri

⇒L=2Rω=2×52π×50=110πH=100πH\Rightarrow L = {{2R} \over \omega } = {{2 \times 5} \over {2\pi \times 50}} = {1 \over {10\pi }}H = {{100} \over \pi }H

So k=1100≃0k = {1 \over {100}} \simeq 0

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring