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Alternating Circuits & Power

A resistance R and a capacitor C are connected in series to a

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A resistance $R$ and a capacitor $C$ are connected in series to a source $V = V_{0} sin ω t$ .
Find:
(a) The peak value of the voltage across the (i) resistance and (ii) capacitor.
(b) The phase difference between the applied voltage and current. Which of them is ahead?

Name: Video solution 1: A resistance R and a capacitor C are connected in series to a source V=V0sinωt. Find: (a) The peak value of the voltage across the (i) resistance and (ii) capacitor. (b) The phase difference between the applied voltage and current. Which of them is ahead?
Uploaded: 2022-08-19T20:20:38.000Z
Duration: 8 min
Description: Video solution 1: A resistance R and a capacitor C are connected in series to a source V=V0sinωt. Find: (a) The peak value of the voltage across the (i) resistance and (ii) capacitor. (b) The phase difference between the applied voltage and current. Which of them is ahead?

Views: 6,320 students

Updated on: Aug 19, 2022

Exam:

Class 12th Board 2020

Found 3 tutors discussing this question

Levi Discussed

A resistance

R

and a capacitor

C

are connected in series to a source

V = V_{0} sin ω t

.
Find:
(a) The peak value of the voltage across the (i) resistance and (ii) capacitor.
(b) The phase difference between the applied voltage and current. Which of them is ahead?

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Peak value of current

I_{0} = \frac{V _{0}}{Z} = \frac{V _{0}}{X _{c}^{2} + R ^{2}} X_{c} = \frac{1}{ω C}

(i)

V_{R} = I_{0} R = \frac{V _{0} R}{X _{c}^{2} + R ^{2}}

(ii)

V_{c} = I_{0} X_{c} = (\frac{V _{0}}{X _{C}^{2} + R ^{3}}) X_{c}

(b) From phasor

tan ϕ = \frac{X _{c}}{R}

Current leads the applied voltage by phase

ϕ

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Question Text	A resistance $R$ and a capacitor $C$ are connected in series to a source $V = V_{0} sin ω t$ . Find: (a) The peak value of the voltage across the (i) resistance and (ii) capacitor. (b) The phase difference between the applied voltage and current. Which of them is ahead?
Updated On	Aug 19, 2022
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	238
Avg. Video Duration	8 min

A resistance $R$ and a capacitor $C$ are connected in series to a source $V = V_{0} sin ω t$ .
Find:
(a) The peak value of the voltage across the (i) resistance and (ii) capacitor.
(b) The phase difference between the applied voltage and current. Which of them is ahead?

Text solutionVerified

Filo tutor solutions (1)

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A resistance R and a capacitor C are connected in series to a source V=V0​sinωt. Find: (a) The peak value of the voltage across the (i) resistance and (ii) capacitor. (b) The phase difference between the applied voltage and current. Which of them is ahead?

Text solutionVerified

Filo tutor solutions (1)

Questions from Class 12th Board 2020 - PYQs

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A resistance $R$ and a capacitor $C$ are connected in series to a source $V = V_{0} sin ω t$ .
Find:
(a) The peak value of the voltage across the (i) resistance and (ii) capacitor.
(b) The phase difference between the applied voltage and current. Which of them is ahead?