Understanding the Energy Stored in a Capacitor
When a capacitor is charged, it stores energy in the electric field created between its plates. The energy (U) stored in a capacitor can be calculated using the formula:
U = 0.5 * C * V^2
Where:
- C = capacitance in farads (F)
- V = voltage in volts (V)
Given Values
- Capacitance (C) = 12 µF = 12 x 10^-6 F
- Voltage (V) = 100 V
Calculating the Energy Stored
To find the energy stored in the capacitor, substitute the given values into the formula:
- Convert capacitance to farads:
- C = 12 µF = 12 x 10^-6 F
- Substitute into the formula:
U = 0.5 * (12 x 10^-6 F) * (100 V)^2
Step-by-Step Calculation
- Calculate (100 V)^2:
- (100 V)^2 = 10,000 V²
- Now calculate U:
- U = 0.5 * (12 x 10^-6) * 10,000
- U = 0.5 * 12 x 10^-2
- U = 0.5 * 0.12
- U = 0.06 Joules
Conclusion
The energy stored in the capacitor is 0.06 Joules. This energy can be utilized in various applications, such as in power supply circuits or timing devices. Understanding how to calculate the energy stored in capacitors is essential for various fields, including electronics and electrical engineering.