Question Detail

PHY 102 PHY 102 Past Questions Objective Question
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Question

Parallel plate air capacitor charged to 100V. 2mm dielectric inserted, distance increased by 1.6mm to maintain same V. Dielectric constant?
Options
A 1.25
B 5
Correct Answer
C 2.5
D 4
Correct Answer

Option B is the correct answer.

Detailed Explanation

Initially d, finally d' = d + 1.6 mm. Dielectric thickness 2 mm. With dielectric, effective d_eff = (d' - 2) + 2/κ. For same V and Q, C same: ε₀A/d = ε₀A / [(d' - 2) + 2/κ] → d = (d' - 2) + 2/κ. d' = d + 1.6 → d = (d + 1.6 - 2) + 2/κ = d - 0.4 + 2/κ → 0.4 = 2/κ → κ = 5. Option B.

Hint

Same C → same effective separation.

Question Info

Course: PHY 102
Topic: PHY 102 Past Questions
Type: Objective
Difficulty: Not specified
Question 430 of 1820
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