Consider the combination of 2 capacitors C1 and C2, with C2 > C1, when connected in parallel, the equivalent capacitance is 154 times the equivalent capacitance of the same connected in series, Calculate the ratio of capacitors, C2C1.

Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>1</mn> <mn>1</mn> <mn>1</mn> </mrow> <mrow> <mn>8</mn> <mn>0</mn> </mrow> </mfrac> </mrow> </math> </span></p>
Option 2 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>1</mn> <mn>5</mn> </mrow> <mrow> <mn>4</mn> </mrow> </mfrac> </mrow> </math> </span></p>
Option 3 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>2</mn> <mn>9</mn> </mrow> <mrow> <mn>1</mn> <mn>5</mn> </mrow> </mfrac> </mrow> </math> </span></p>
Option 4 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>1</mn> <mn>5</mn> </mrow> <mrow> <mn>1</mn> <mn>1</mn> </mrow> </mfrac> </mrow> </math> </span></p>
3 Views|Posted 6 months ago
Asked by Shiksha User
1 Answer
P
6 months ago
Correct Option - 1
Detailed Solution:

According question, we can write

C1*C2C1+C2=154 (C1+C2)4C1C2=15 (C12+C22+2C1C2)

4 (C2C1)=15 (C2C1)2+30 (C2C1)+1515x2+26x+15=0,  where x = C2C1

x=26±67690030

Since x cannot be real, so this Question has been dropped by NTA

Thumbs Up IconUpvote Thumbs Down Icon

Similar Questions for you

Not really. The electric dipole moment vector directs or points from the negative charge to the positive charge. But the electric field lines that a dipole creates will point away from the positive and move to the negative charge.

...Read more

Yes, the cube, which is a closed surface containing only one electric dipole will make electric flux zero. This follows Gauss's Law when the total charge inside it is zero. The field lines entering the surface will exit, and that would result in zero net flux. 

 

...Read more

The magnitude of each charge and the distance that separates them. 

Gauss Law is only concerned with the total enclosed charge that finally tells us the total flux. The charges outside may change field patterns. They not affect the total flux. It's actually incorrect to assume the field due to the external charges should also affect the flux through the Gaussian sur

...Read more

Gauss Law does not directly give the electric field in all cases. It can only be used in calculations for symmetrical surfaces: spherical, cylindrical, or planar. 

Taking an Exam? Selecting a College?

Get authentic answers from experts, students and alumni that you won't find anywhere else.

On Shiksha, get access to

66K
Colleges
|
1.2K
Exams
|
6.9L
Reviews
|
1.8M
Answers

Learn more about...

Physics Electrostatic Potential and Capacitance 2025

Physics Electrostatic Potential and Capacitance 2025

View Exam Details

Most viewed information

Summary

Share Your College Life Experience

Didn't find the answer you were looking for?

Search from Shiksha's 1 lakh+ Topics

or

Ask Current Students, Alumni & our Experts

Have a question related to your career & education?

or

See what others like you are asking & answering