Question Detail

PHY 102 Test Compilation PHY 102 18 Objective Question

Question

A parallel plate air capacitor is made of 0.2 m square tin plates and 1 cm apart. It is connected to a 50 V battery. What is the charge on each plate?
Options
A 1.77 nC
Correct Answer
B 1.77 mC
C 1.77 C
D 1.77 pC
Correct Answer

Option A is the correct answer.

Detailed Explanation

C = ε0A/d = (8.85×10⁻¹²)(0.04)/(0.01) ≈ 3.54×10⁻¹¹F, so Q = CV ≈ 3.54×10⁻¹¹ × 50 ≈ 1.77×10⁻⁹ C = 1.77 nC.

Hint

First find capacitance from plate geometry, then use Q = CV.

Question Info