Answer:
V = 0.06255 Volts
Step-by-step explanation:
Given the following data;
Capacitance = 4.03 * 10^{-5} F
Energy = 5.15 * 10^{-3} J
To find the voltage across the capacitor;
Mathematically, the energy stored in a capacitor is given by the formula;
E = ½cv²
Where;
C is the capacitor
E is the energy stored
v is the voltage.
Substituting into the formula, we have;
5.15 * 10^{-3} = ½ * 4.03 * 10^{-5} * v²
0.00515 = 0.00002015 * v²
V² = 0.00002015/0.00515
V² = 0.003912
Taking the square root of both sides, we have;
V = √0.003912
V = 0.06255 Volts