2. Find the charge in potential energy of the system of two charges plus a third charge q3= 3.00µC as the latter charge moves from the infinity to point P.
let the distance from P to each charge be d1,d2
energy=kq3(1/d1+1/d2)
To find the charge in potential energy of the system of two charges plus a third charge q₃ = 3.00µC as it moves from infinity to point P, you need to consider the electric potential energy formula.
The electric potential energy, U, of a system of charges is given by the equation:
U = k * q₁ * q₂ / r
where k is the electrostatic constant, q₁ and q₂ are the charges in the system, and r is the distance between the charges.
In this case, we have two charges, q₁ and q₂, and a third charge, q₃, moving from infinity to point P. There are two steps involved in calculating the charge in potential energy.
Step 1: Calculate the electric potential energy between the first two charges.
Let's assume that q₁ and q₂ are the charges of the first two charges and r₁₂ is the distance between them. Calculate the electric potential energy between q₁ and q₂ using the formula:
U₁₂ = k * q₁ * q₂ / r₁₂
Step 2: Calculate the change in electric potential energy as q₃ moves from infinity to point P.
The charge q₃ will interact with the electric field created by q₁ and q₂. When the charge q₃ moves from infinity to point P, it will gain electric potential energy due to the interaction with the other charges.
The change in electric potential energy, ΔU, can be calculated using the formula:
ΔU = U - U₀
where U₀ is the initial potential energy at infinity (which is assumed to be zero as there is no interaction at infinity) and U is the final potential energy at point P.
Therefore, the charge in potential energy of the system can be determined by calculating the change in electric potential energy (ΔU) as q₃ moves from infinity to point P.