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AC Voltage Applied to a Capacitor

The impedance of a R-C circuit is Z_{1} for frequency f and Z_

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Medium

Solving time: 3 mins

The impedance of a $R$ -C circuit is $Z_{1}$ for frequency $f$ and $Z_{2}$ for frequency $2 f$ . Then, $\frac{Z _{1}}{Z _{2}}$ is

Name: Video solution 1: The impedance of a R-C circuit is Z1 for frequency f and Z2 for frequency 2f. Then, Z2Z1 is
Uploaded: 2024-02-21T10:56:27.000Z
Duration: 13 min
Description: Video solution 1: The impedance of a R-C circuit is Z1 for frequency f and Z2 for frequency 2f. Then, Z2Z1 is

Between 1 and 2

Between

\frac{1}{2}

and 1

\frac{1}{2}

Views: 5,497 students

Updated on: Feb 21, 2024

Found 7 tutors discussing this question

Emily Discussed

The impedance of a

R

-C circuit is

Z_{1}

for frequency

f

and

Z_{2}

for frequency

2 f

. Then,

\frac{Z _{1}}{Z _{2}}

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

The impedance of

R - C

circuit for frequency

f_{1}

Z_{1} = R^{2} + \frac{1}{4 π ^{2} f ^{2} c ^{2}}

The impedance of

R - C

circuit for frequency

2 f

Z_{2} or Z_{2} Then, \frac{z _{1}^{2}}{z _{2}^{2}} Or \frac{z _{1}^{2}}{z _{2}^{2}} = R^{2} + \frac{1}{4 π ^{2} ( 2 f ^{2} ) c ^{2}} = R^{2} + \frac{1}{16 π ^{2} f ^{2} c ^{2}} = \frac{R ^{2} + \frac{1}{4 ^{2} r ^{2} c ^{2}}}{R ^{2} + \frac{1}{16 π ^{2} f ^{2} c ^{2}}} = \frac{1 + \frac{2}{4 x ^{2} f ^{2} c ^{2} R ^{2}}}{1 + \frac{1}{16 π ^{2} f ^{2} R ^{2} c ^{2}}}

Values are greater than 1 then

\frac{z _{1}}{z _{2}} =

lies between 1 and 2 .

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Question Text	The impedance of a $R$ -C circuit is $Z_{1}$ for frequency $f$ and $Z_{2}$ for frequency $2 f$ . Then, $\frac{Z _{1}}{Z _{2}}$ is
Updated On	Feb 21, 2024
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 2
Upvotes	326
Avg. Video Duration	7 min

The impedance of a $R$ -C circuit is $Z_{1}$ for frequency $f$ and $Z_{2}$ for frequency $2 f$ . Then, $\frac{Z _{1}}{Z _{2}}$ is

Text solutionVerified

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The impedance of a $R$ -C circuit is $Z_{1}$ for frequency $f$ and $Z_{2}$ for frequency $2 f$ . Then, $\frac{Z _{1}}{Z _{2}}$ is