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JEE Main 202324 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
24 January
Shift
Evening Shift
Subject
Physics
Chapter
Capacitance

JEE Main 2023 · 24 January · Evening Shift · Physics · Capacitance

A parallel plate capacitor with air between the plate has a...

A parallel plate capacitor with air between the plate has a capacitance of 15pF15pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.53 . 5. Then the capacitance becomes x4pF\dfrac{x}{4}pF. The value of xx is____.

Correct answer

0

Step-by-step solution

Capacitance of the parallel plate capacitor when air is present between the plates, C=ε0Ad=15pFC = \dfrac{{ε}_{0}A}{d} = 15pF

Capacitance of the parallel plate capacitor when dielectric is filled in between the plates,

C′=kε0Ad′=3.5ε0A2d=3.52×15pF=1054pF{C}^{'} = \dfrac{k{ε}_{0}A}{{d}^{'}} = \dfrac{3 . 5{ε}_{0}A}{2d} = \dfrac{3 . 5}{2} \times 15pF = \dfrac{105}{4}pF

Therefore, x=105x = 105.

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