Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors
A parallel-plate capacitor with a plate area of 25.0 cm ^2 and a 2.00 mm separation between its plates is connected to a 12.0 V battery. Determine the charge on the capacitor.
Options
- A2.66 10⁻¹⁰ C
- B1.33 10⁻¹² C
- C6.64 10⁻¹¹ C
- D1.33 10⁻¹⁰ C
Correct answer
D. 1.33 10⁻¹⁰ C
Step-by-step solution
The capacitance of a parallel-plate capacitor is given by C = ₀ A d The charge on the capacitor is Q = CV = ₀ A V d Substituting the given values: A = 25.0 cm ^2 = 25.0 10⁻⁴ m ^2 d = 2.00 mm = 2.00 10⁻³ m V = 12.0 V ₀ = 8.85 10⁻¹² F/m Q = 8.85 10⁻¹² 25.0 10⁻⁴ 12.0 2.00 10⁻³ Q = 8.85 10⁻¹² 25.0 10⁻⁴ 6.0 10^3 Q = 8.85 10⁻¹² 150 10⁻¹ Q = 132.75 10⁻¹² C Q 1.33 10⁻¹⁰ C