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JEE Main 26 June 2022, Shift 2, Physics Q39

Question 39 of 90 in this shift, Physics question 9 of 30, Section A.

A parallel plate capacitor with plate area A and plate separation d=2 m has a capacitance of

4\ \mu F

. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant K=3 (as shown in figure) will be :

The figure, in words

A tall vertical line on the left (one plate); a hatched rectangle labelled K=3 to its right, about the same height as the line and separated from it by a gap; below, a double-headed horizontal arrow labelled d running from the vertical line to the right edge of the hatched rectangle.

(1) $2\mu F$
(2) $32\mu F$
(3) $6\mu F$ Official answer
(4) $8\mu F$

Official answer

Option 3

NTA final key.

Chapter: Electrostatic Potential and Capacitance
Topic: Parallel Plate Capacitors
Idea tested: Partially Filled Dielectric Slab

JEE Main 26 June 2022, Shift 2, Physics Q39

Same idea in other shifts