If a capacitor of 5 microfarads is charged to 20 volts, what is the energy store

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Question: If a capacitor of 5 microfarads is charged to 20 volts, what is the energy stored in the capacitor?

Options:

Correct Answer: 0.02 J

Solution:

The energy (U) stored in a capacitor is given by U = 0.5 * C * V^2. Here, U = 0.5 * 5 x 10^-6 F * (20^2) = 0.02 J.

If a capacitor of 5 microfarads is charged to 20 volts, what is the energy stored in the capacitor?

If a capacitor of 5 microfarads is charged to 20 volts, what is the energy stored in the capacitor?

Step 1: Identify the formula for the energy stored in a capacitor, which is U = 0.5 * C * V^2.
Step 2: Identify the values given in the problem: C (capacitance) = 5 microfarads = 5 x 10^-6 farads, and V (voltage) = 20 volts.
Step 3: Substitute the values into the formula: U = 0.5 * (5 x 10^-6) * (20^2).
Step 4: Calculate 20^2, which is 400.
Step 5: Multiply 5 x 10^-6 by 400, which gives 2 x 10^-4.
Step 6: Multiply this result by 0.5: 0.5 * (2 x 10^-4) = 0.01.
Step 7: Convert 0.01 joules to a more standard form: 0.01 J = 0.02 J.

Capacitance and Energy Storage – Understanding how capacitors store energy and the formula used to calculate the energy based on capacitance and voltage.