SATHEE: Electro Magnetic Induction And Alternating Currents Question 190

Electro Magnetic Induction And Alternating Currents Question 190

Question: When the rms voltages $V_{L}$ , $V_{C}$ and $V_{R}$ are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio $V_{L} : V_{C} : V_{R} = 1 : 2 : 3$ . If the rms voltage of the AC sources is 100 V, the $V_{R}$ is close to:

Options:

A) 50V

B) 70V

C) 90V

D) 100V

Show Answer

Answer:

Correct Answer: C

Solution:

Given, $V_{L} : V_{C} : V_{R} = 1 : 2 : 3$ $V = 100 V, V_{R} = ?$

As we know, $V = \sqrt{V_{R}^{2} + {(V_{L} - V_{C})}^{2}}$

Solving we get, $V_{R} ≃ 90 V$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Electro Magnetic Induction And Alternating Currents Question 190

Question: When the rms voltages VL , VC and VR are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio VL:VC:VR=1:2:3 . If the rms voltage of the AC sources is 100 V, the VR is close to:

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu