A slab of dielectric constant K has the same cross-sectional area as the plates of a parallel plate capacitor and thickness 34d, where d is the separation of the plates. The capacitance of the capacitor when the slab is inserted between the plates will be:

(Given C0 = capacitance of capacitor with air as medium between plates.)

 

Option 1 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>4</mn> <mi>K</mi> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> <mrow> <mn>3</mn> <mo>+</mo> <mi>K</mi> </mrow> </mfrac> </mrow> </math> </span></p>
Option 2 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>3</mn> <mi>K</mi> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> <mrow> <mn>3</mn> <mo>+</mo> <mi>K</mi> </mrow> </mfrac> </mrow> </math> </span></p>
Option 3 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>3</mn> <mo>+</mo> <mi>K</mi> </mrow> <mrow> <mn>4</mn> <mi>K</mi> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> </math> </span></p>
Option 4 - <p><span class="mathml" contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mi>K</mi> </mrow> <mrow> <mn>4</mn> <mo>+</mo> <mi>K</mi> </mrow> </mfrac> </mrow> </math> </span></p>
3 Views|Posted 6 months ago
Asked by Shiksha User
1 Answer
V
6 months ago
Correct Option - 1
Detailed Solution:

 C0=ε0Ad

C1=4ε0Ad=4C0

CZ=kε0A34d=4kc03

Series

Ca=C1C2C1+C2

16k3dC024C0 (1+k3)

=4kC0k+3

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physics ncert exemplar solutions class 12th chapter two 2025

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