Physics

Alternating Current

AC Voltage Applied to a Capacitor

In an R-C circuit while charging, the graph of I versus time

Question

Medium

Solving time: 3 mins

In an $R - C$ circuit while charging, the graph of $ln I$ versus time is as shown by the dotted line
in the adjoining diagram where $I$ is the current. When the value of the resistance is doubled, which
of the solid curves best represents the variation of $ln I$ versus time?

Name: Video answer for In an R−C circuit while charging, the graph of lnI versus time is as shown by the dotted line in the adjoining diagram where I is the current. When the value of the resistance is doubled, which of the solid curves best represents the variation of lnI versus time?
Uploaded: 2022-11-14T12:34:32.000Z
Duration: 9 min
Description: In an R−C circuit while charging, the graph of lnI versus time is as shown by the dotted line in the adjoining diagram where I is the current. When the value of the resistance is doubled, which of the solid curves best represents the variation of lnI versus time?

P

Q

R

S

Views: 5,760 students

Updated on: Nov 14, 2022

Text solutionVerified

Charging current,

I = \frac{E}{R} e^{- \frac{t}{RC}}

Taking log both sides,

I = lo g (\frac{E}{R}) - \frac{t}{RC}

When

R

is doubled, slope of curve increases. Also current will be less. Graph

Q

represents the best.

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Mateo Discussed

In an

R - C

circuit while charging, the graph of

ln I

versus time is as shown by the dotted line
in the adjoining diagram where

I

is the current. When the value of the resistance is doubled, which
of the solid curves best represents the variation of

ln I

versus time?

9 mins ago

Discuss this question LIVE

9 mins ago

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Question Text	In an $R - C$ circuit while charging, the graph of $ln I$ versus time is as shown by the dotted line in the adjoining diagram where $I$ is the current. When the value of the resistance is doubled, which of the solid curves best represents the variation of $ln I$ versus time?
Updated On	Nov 14, 2022
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	238
Avg. Video Duration	9 min

In an $R - C$ circuit while charging, the graph of $ln I$ versus time is as shown by the dotted line
in the adjoining diagram where $I$ is the current. When the value of the resistance is doubled, which
of the solid curves best represents the variation of $ln I$ versus time?

Text solutionVerified

Video solutions (1)

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In an R−C circuit while charging, the graph of lnI versus time is as shown by the dotted line in the adjoining diagram where I is the current. When the value of the resistance is doubled, which of the solid curves best represents the variation of lnI versus time?

Text solutionVerified

Video solutions (1)

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In an $R - C$ circuit while charging, the graph of $ln I$ versus time is as shown by the dotted line
in the adjoining diagram where $I$ is the current. When the value of the resistance is doubled, which
of the solid curves best represents the variation of $ln I$ versus time?