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PHY 102 Last Minute Prep Objective Question

Question

Two identical conducting plates of plate area A are separated by a distance d to form a parallel plate air capacitor. Now a metal sheet of thickness d/2 is inserted between the plates of the capacitor. The ratio of capacitance before the insertion of plate and after the insertion of plate is
Options
A 1:2
Correct Answer
B 1:1
C 2:1
D √2:1
Correct Answer

Option A is the correct answer.

Detailed Explanation

A metal sheet effectively reduces the separation. New separation = d - d/2 = d/2. Capacitance doubles, so ratio is 1:2

Hint

Conductors have 'infinite' dielectric constant, reducing effective distance.

Question Info