Given a potential of V= 24 V across a capacitor which has a capacitance of C = 2 micro Farads, what is the energy stored by the capacitor in Joules?
Question
Given a potential of V across a capacitor which has a capacitance of micro Farads, what is the energy stored by the capacitor in Joules?
Solution
The energy (E) stored in a capacitor can be calculated using the formula:
E = 1/2 * C * V^2
Where: E is the energy in joules (J) C is the capacitance in farads (F) V is the potential difference in volts (V)
Here are the steps to calculate the energy:
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Identify the capacitance (C). In this case, the capacitance is 2 microfarads, which is 2 * 10^-6 farads.
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Identify the potential difference (V). In this case, the potential difference is 24 volts.
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Substitute the values into the formula and calculate the energy (E) in joules.
E = 1/2 * C * V^2 E = 1/2 * 2 * 10^-6 F * (24 V)^2 E = 0.000001 F * 576 V^2 E = 0.576 J
Therefore, the energy stored by the capacitor is 0.576 joules.
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