2. Charge q1 is located at (0,+30 cm). Charge q2 is located at (0, -30 cm) q1 = +25 pC q2= -75 pC
A) Calculate the potential energy of the charges
B) Calculate V1, the electric potential at the orgin due to charge q1, and V2, the electric potential at the orgin due to charge q2
C) Calculate V, the total electric potential at the orgin
3. Capacitor C1 = 10 µF and capacitor C2 = 15 µF are connected in series with a power source V = 15.0 V.
A) Calculate the equivalent capacitance of the capacitors
B) Calculate the charge and potential on each capacitor
a. PE= force*distance= kq1*q2/.60^2 * .60
b. V1=kQ1/.3 V1=kQ2/.3
c. V=V1+V2
3. I will be happy to critique your work.
A) To calculate the potential energy of charges q1 and q2, we can use the formula:
Potential Energy = (k * q1 * q2) / r
Where:
- k is Coulomb's constant, approximately equal to 9 x 10^9 Nm^2/C^2
- q1 and q2 are the charges in coulombs
- r is the distance between the charges
Given:
q1 = +25 pC = +25 x 10^-12 C
q2 = -75 pC = -75 x 10^-12 C
r = 30 cm = 30 x 10^-2 m
Substituting these values into the formula:
Potential Energy = (9 x 10^9 Nm^2/C^2) * (+25 x 10^-12 C) * (-75 x 10^-12 C) / (30 x 10^-2 m)
Simplifying this expression will give us the potential energy of the charges.
B) To calculate the electric potential at the origin due to charge q1 (V1) and charge q2 (V2), we can use the formula:
Electric Potential (V) = (k * q) / r
Where:
- k is Coulomb's constant, approximately equal to 9 x 10^9 Nm^2/C^2
- q is the charge in coulombs
- r is the distance from the charge to the point where the electric potential is calculated
Given:
q1 = +25 pC = +25 x 10^-12 C
q2 = -75 pC = -75 x 10^-12 C
r = 0 cm = 0 m (since the origin is at (0,0))
Substituting these values into the formula for V1 and V2 will give us the electric potentials at the origin due to charges q1 and q2, respectively.
C) To calculate the total electric potential at the origin (V), we can use the principle that the electric potential due to a system of charges is the sum of the electric potentials produced by each individual charge.
V = V1 + V2
Substituting the calculated values for V1 and V2, we can find the total electric potential at the origin.