The formula to calculate the energy stored in a capacitor given charge and capacitance is:
\[ U = \frac{Q^2}{2C} \]
Where:
Energy stored in a capacitor is the energy that is stored in a capacitor, which is a device that stores electric energy in an electric field.
Charge is a fundamental property of matter that causes objects to experience a force when placed in an electrostatic field.
Capacitance is the ability of a system to store electric charge, typically measured in farads, and is a crucial concept in electrostatics.
Let's assume the following values:
Using the formula:
\[ U = \frac{0.3^2}{2 \cdot 0.011} \approx 4.09090909090909 \, \text{Joules} \]
The energy stored in the capacitor is approximately 4.09090909090909 Joules.
| Charge (C) | Capacitance (F) | Energy Stored (J) |
|---|---|---|
| 0.1 | 0.01 | 0.500000000000 |
| 0.1 | 0.02 | 0.250000000000 |
| 0.1 | 0.03 | 0.166666666667 |
| 0.1 | 0.04 | 0.125000000000 |
| 0.1 | 0.05 | 0.100000000000 |
| 0.1 | 0.06 | 0.083333333333 |
| 0.1 | 0.07 | 0.071428571429 |
| 0.1 | 0.08 | 0.062500000000 |
| 0.1 | 0.09 | 0.055555555556 |
| 0.1 | 0.1 | 0.050000000000 |
| 0.2 | 0.01 | 2.000000000000 |
| 0.2 | 0.02 | 1.000000000000 |
| 0.2 | 0.03 | 0.666666666667 |
| 0.2 | 0.04 | 0.500000000000 |
| 0.2 | 0.05 | 0.400000000000 |
| 0.2 | 0.06 | 0.333333333333 |
| 0.2 | 0.07 | 0.285714285714 |
| 0.2 | 0.08 | 0.250000000000 |
| 0.2 | 0.09 | 0.222222222222 |
| 0.2 | 0.1 | 0.200000000000 |
| 0.3 | 0.01 | 4.500000000000 |
| 0.3 | 0.02 | 2.250000000000 |
| 0.3 | 0.03 | 1.500000000000 |
| 0.3 | 0.04 | 1.125000000000 |
| 0.3 | 0.05 | 0.900000000000 |
| 0.3 | 0.06 | 0.750000000000 |
| 0.3 | 0.07 | 0.642857142857 |
| 0.3 | 0.08 | 0.562500000000 |
| 0.3 | 0.09 | 0.500000000000 |
| 0.3 | 0.1 | 0.450000000000 |
| 0.4 | 0.01 | 8.000000000000 |
| 0.4 | 0.02 | 4.000000000000 |
| 0.4 | 0.03 | 2.666666666667 |
| 0.4 | 0.04 | 2.000000000000 |
| 0.4 | 0.05 | 1.600000000000 |
| 0.4 | 0.06 | 1.333333333333 |
| 0.4 | 0.07 | 1.142857142857 |
| 0.4 | 0.08 | 1.000000000000 |
| 0.4 | 0.09 | 0.888888888889 |
| 0.4 | 0.1 | 0.800000000000 |
| 0.5 | 0.01 | 12.500000000000 |
| 0.5 | 0.02 | 6.250000000000 |
| 0.5 | 0.03 | 4.166666666667 |
| 0.5 | 0.04 | 3.125000000000 |
| 0.5 | 0.05 | 2.500000000000 |
| 0.5 | 0.06 | 2.083333333333 |
| 0.5 | 0.07 | 1.785714285714 |
| 0.5 | 0.08 | 1.562500000000 |
| 0.5 | 0.09 | 1.388888888889 |
| 0.5 | 0.1 | 1.250000000000 |
| 0.6 | 0.01 | 18.000000000000 |
| 0.6 | 0.02 | 9.000000000000 |
| 0.6 | 0.03 | 6.000000000000 |
| 0.6 | 0.04 | 4.500000000000 |
| 0.6 | 0.05 | 3.600000000000 |
| 0.6 | 0.06 | 3.000000000000 |
| 0.6 | 0.07 | 2.571428571429 |
| 0.6 | 0.08 | 2.250000000000 |
| 0.6 | 0.09 | 2.000000000000 |
| 0.6 | 0.1 | 1.800000000000 |
| 0.7 | 0.01 | 24.500000000000 |
| 0.7 | 0.02 | 12.250000000000 |
| 0.7 | 0.03 | 8.166666666667 |
| 0.7 | 0.04 | 6.125000000000 |
| 0.7 | 0.05 | 4.900000000000 |
| 0.7 | 0.06 | 4.083333333333 |
| 0.7 | 0.07 | 3.500000000000 |
| 0.7 | 0.08 | 3.062500000000 |
| 0.7 | 0.09 | 2.722222222222 |
| 0.7 | 0.1 | 2.450000000000 |
| 0.8 | 0.01 | 32.000000000000 |
| 0.8 | 0.02 | 16.000000000000 |
| 0.8 | 0.03 | 10.666666666667 |
| 0.8 | 0.04 | 8.000000000000 |
| 0.8 | 0.05 | 6.400000000000 |
| 0.8 | 0.06 | 5.333333333333 |
| 0.8 | 0.07 | 4.571428571429 |
| 0.8 | 0.08 | 4.000000000000 |
| 0.8 | 0.09 | 3.555555555556 |
| 0.8 | 0.1 | 3.200000000000 |
| 0.9 | 0.01 | 40.500000000000 |
| 0.9 | 0.02 | 20.250000000000 |
| 0.9 | 0.03 | 13.500000000000 |
| 0.9 | 0.04 | 10.125000000000 |
| 0.9 | 0.05 | 8.100000000000 |
| 0.9 | 0.06 | 6.750000000000 |
| 0.9 | 0.07 | 5.785714285714 |
| 0.9 | 0.08 | 5.062500000000 |
| 0.9 | 0.09 | 4.500000000000 |
| 0.9 | 0.1 | 4.050000000000 |
| 1 | 0.01 | 50.000000000000 |
| 1 | 0.02 | 25.000000000000 |
| 1 | 0.03 | 16.666666666667 |
| 1 | 0.04 | 12.500000000000 |
| 1 | 0.05 | 10.000000000000 |
| 1 | 0.06 | 8.333333333333 |
| 1 | 0.07 | 7.142857142857 |
| 1 | 0.08 | 6.250000000000 |
| 1 | 0.09 | 5.555555555556 |
| 1 | 0.1 | 5.000000000000 |