What is the total energy stored in a capacitor of capacitance 20 microfarads charged to 10 volts?

1 question

1 item

Q: What is the total energy stored in a capacitor of capacitance 20 microfarads charged to 10 volts?

Solution: Energy (E) stored in a capacitor is given by E = 0.5 * C * V^2. Thus, E = 0.5 * 20 x 10^-6 F * (10 V)^2 = 0.1 joules.

Steps: 9

Step 1: Identify the formula for the energy stored in a capacitor, which is E = 0.5 * C * V^2.
Step 2: Identify the values given in the problem: capacitance (C) = 20 microfarads and voltage (V) = 10 volts.
Step 3: Convert the capacitance from microfarads to farads. 20 microfarads = 20 x 10^-6 farads.
Step 4: Substitute the values into the formula: E = 0.5 * (20 x 10^-6 F) * (10 V)^2.
Step 5: Calculate (10 V)^2, which is 100 V^2.
Step 6: Now substitute this value back into the equation: E = 0.5 * (20 x 10^-6 F) * 100.
Step 7: Multiply 0.5 * 20 = 10.
Step 8: Now multiply 10 * 100 = 1000.
Step 9: Finally, since we have 1000 x 10^-6, convert it to joules: 1000 x 10^-6 = 0.1 joules.