If a capacitor has a capacitance of 10μF and is charged to 5V, what is the store
Practice Questions
Q1
If a capacitor has a capacitance of 10μF and is charged to 5V, what is the stored energy?
0.125 mJ
0.25 mJ
0.5 mJ
1 mJ
Questions & Step-by-Step Solutions
If a capacitor has a capacitance of 10μF and is charged to 5V, what is the stored energy?
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) is 10μF and voltage (V) is 5V.
Step 3: Convert the capacitance from microfarads (μF) to farads (F). 10μF = 10 * 10^-6 F = 0.00001 F.
Step 4: Substitute the values into the formula: E = 0.5 * 0.00001 F * (5V)^2.
Step 5: Calculate (5V)^2, which is 25 V^2.
Step 6: Multiply 0.5 * 0.00001 F * 25 V^2 = 0.000125 J.
Step 7: Convert joules to millijoules: 0.000125 J = 0.125 mJ.
Capacitance and Energy Storage – Understanding how capacitance (C) and voltage (V) relate to the energy (E) stored in a capacitor, using the formula E = 0.5 * C * V^2.
