A capacitor of 4.5 MF, charged to 50v, is connected to another capacitor of = MF, charged to 100v. The total energy of the combination is
qeach=1/2 Cv^2
add them.
To find the total energy of the combination of capacitors, you need to use the formula for the energy stored in a capacitor.
The energy stored in a capacitor, denoted by U, is given by the equation:
U = (1/2) * C * V^2
Where:
- U is the energy stored in the capacitor,
- C is the capacitance of the capacitor, and
- V is the voltage across the capacitor.
Let's calculate the energy of each capacitor first:
For the first capacitor:
C1 = 4.5 MF (microfarads)
V1 = 50 V
U1 = (1/2) * 4.5 MF * (50 V)^2
For the second capacitor:
C2 = ? MF (unknown capacitance)
V2 = 100 V
U2 = (1/2) * ? MF * (100 V)^2
Now, to find the total energy of the combination, you need to add the energies of both capacitors:
Total energy (U_total) = U1 + U2
However, you need to know the capacitance (C2) of the second capacitor in order to calculate its energy. Please provide the value of C2, and I'll be able to complete the calculation for you.