When an AC source of emf e=E0sin(100t) is connected across a circuit, the phase difference between the emf e and the current i in the circuit is observed to be 4π ahead, as shown in the diagram. If the circuit consists possibly only of R−C or R−L or L−C in series, find the relationship between the two elements.

Name: Video solution 1: When an AC source of emf e=E0sin(100t) is connected across a circuit, the phase difference between the emf e and the current i in the circuit is observed to be 4π ahead, as shown in the diagram. If the circuit consists possibly only of R−C or R−L or L−C in series, find the relationship between the two elements.
Uploaded: 2022-09-29T12:29:16.000Z
Duration: 2 min
Description: Video solution 1: When an AC source of emf e=E0sin(100t) is connected across a circuit, the phase difference between the emf e and the current i in the circuit is observed to be 4π ahead, as shown in the diagram. If the circuit consists possibly only of R−C or R−L or L−C in series, find the relationship between the two elements.

As the current i leads the emf e by π/4, it is an R−C circuit.tanϕ=RXC or tan4π=RωC1∴ωCR=1 As ω=100rad/sThe product of C−R should be 1001 s−1 Option (a) satisfy this condition.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

When an AC source of emf e=E_{0} (100 t) is connected across

Question

Hard

Solving time: 4 mins

When an AC source of emf $e = E_{0} sin (100 t)$ is connected across a circuit, the phase difference between the emf $e$ and the current $i$ in the circuit is observed to be $\frac{π}{4}$ ahead, as shown in the diagram. If the circuit consists possibly only of $R - C$ or $R - L$ or $L - C$ in series, find the relationship between the two elements.

R = 1 k Ω, C = 10 μ F

R = 1 k Ω, C = 1 μ F

R = 1 k Ω, L = 10 H

R = 1 k Ω, L = 1 H

Views: 5,887 students

Updated on: Sep 29, 2022

Exam:

JEE Advanced 2003

Found 6 tutors discussing this question

Theodore Discussed

When an AC source of emf

e = E_{0} sin (100 t)

is connected across a circuit, the phase difference between the emf

e

and the current

i

in the circuit is observed to be

\frac{π}{4}

ahead, as shown in the diagram. If the circuit consists possibly only of

R - C

R - L

L - C

in series, find the relationship between the two elements.

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

As the current

i

leads the emf

e

π /4

, it is an

R - C

circuit.

tan ϕ = \frac{X _{C}}{R} or tan \frac{π}{4} = \frac{\frac{1}{ω C}}{R} ∴ ω CR = 1 As ω = 100 rad / s

The product of

C - R

should be

\frac{1}{100} s^{- 1}

Option (a) satisfy this condition.

Was this solution helpful?

105

Report

Filo tutor solutions (1)

Learn from their 1-to-1 discussion with Filo tutors.

2 mins

Uploaded on: 9/29/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Yashpal Singh

Total classes on Filo by this tutor - 1,073

Teaches : Physics

Connect instantly with this tutor

Connect now

Notes from this class (1 pages)

Download

Was this solution helpful?

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	When an AC source of emf $e = E_{0} sin (100 t)$ is connected across a circuit, the phase difference between the emf $e$ and the current $i$ in the circuit is observed to be $\frac{π}{4}$ ahead, as shown in the diagram. If the circuit consists possibly only of $R - C$ or $R - L$ or $L - C$ in series, find the relationship between the two elements.
Updated On	Sep 29, 2022
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	163
Avg. Video Duration	2 min

Text solutionVerified

Filo tutor solutions (1)

Questions from JEE Advanced 2003 - PYQs

Practice questions from Alternating Current in the same exam

Practice more questions from Alternating Current

Practice questions on similar concepts asked by Filo students

Text solutionVerified

Filo tutor solutions (1)

Questions from JEE Advanced 2003 - PYQs

Practice questions from Alternating Current in the same exam

Practice more questions from Alternating Current

Practice questions on similar concepts asked by Filo students

Related books for questions on Alternating Current