SATHEE: Electrostatics Question 815

Electrostatics Question 815

Question: A parallel plate capacitor of area a plate separation d is filled with two dielectrics as shown. What is the capacitance of the arrangement?

Options:

A) $\frac{3 K ε_{0} A}{4 d}$

B) $\frac{4 K ε_{0} A}{4 d}$

C) $\frac{(K + 1) ε_{0} A}{2 d}$

D) $\frac{K (K + 3) ε_{0} A}{2 (K + 1) d}$

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $c_{1} = \frac{(A / 2) ε_{0}}{d / 2} = \frac{A ε_{0}}{d},$

$c_{2} = K \frac{A ε_{0}}{d}, c_{3} = K \frac{A ε_{0}}{2 d}$

$∴ c_{e q} = \frac{c_{1} \times c_{2}}{c_{1} + c_{2}} + c_{3} = \frac{(3 + K) K A ε_{0}}{2 d (K + 1)}$ ( $∴ C_{1}$ and $C_{2}$ are in series and resultant of these two in parallel with $C_{3}$ )

Electrostatics Question 815

Question: A parallel plate capacitor of area a plate separation d is filled with two dielectrics as shown. What is the capacitance of the arrangement?

Options:

Answer:

Solution:

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Electrostatics Question 815

Question: A parallel plate capacitor of area a plate separation d is filled with two dielectrics as shown. What is the capacitance of the arrangement?

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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