103k views
1 vote
A capacitor is charged to 2 mC when it is connected to a 12-V battery. How much energy is stored on the capacitor?

A. 12 mJ
B. 6mJ
C. 144 mJ
D. 24 mJ

1 Answer

3 votes

Final answer:

The energy stored on a capacitor can be calculated using the formula: E = (1/2) * C * V^2. In this case, the capacitor is charged to 2 mC and connected to a 12-V battery. The correct answer is D. 24 mJ.

Step-by-step explanation:

The energy stored on a capacitor can be calculated using the formula:

E = (1/2) * C * V^2

Where E is the energy, C is the capacitance, and V is the voltage across the capacitor.

In this case, the capacitor is charged to 2 mC (milliCoulombs) and connected to a 12-V battery. We can assume that the capacitance is given as:

C = 2 mC / 12 V = 0.167 mF

Plugging in the values, we can calculate the energy as:

E = (1/2) * 0.167 mF * (12 V)^2 ≈ 1.44 mJ

Therefore, the correct option is C. 144 mJ.

User Solarissf
by
7.6k points