A charge `q_(1) = 2.00 mu C` is located at the origin , and a charge `q_(2) = - 6.00 mu C ` is located at `( 0,3.00 ) m`.
(a) Find the total electric potential due to these charges at the point `P` hose coordinates are ( 4.00,0) m .
( b) Find the change in potential energy of the system of two charges plus a charge `q_(3)= 3.00 muC` as the latter charge moves from infinity to point P .

Explanation

To solve the problem, we need to calculate the electric potential at point P due to the two charges and then find the change in potential energy when a third charge is brought from infinity to point P.

### Part (a): Finding the Total Electric Potential at Point P

1. **Identify the charges and their positions:**
- Charge \( q_1 = 2.00 \, \mu C = 2.00 \times 10^{-6} \, C \) is located at the origin (0, 0).
- Charge \( q_2 = -6.00 \, \mu C = -6.00 \times 10^{-6} \, C \) is located at (0, 3.00 m).
- Point P has coordinates (4.00 m, 0).
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