Final answer:
The electric potential at the free corner where there is no charge can be calculated using the principle of superposition. The electric potential due to each charge is found by multiplying the charge magnitude by the Coulomb constant and dividing by the distance from the charge to the point of interest. The total electric potential at the free corner is the sum of the individual potentials due to each charge.
Step-by-step explanation:
The electric potential at the free corner where there is no charge can be calculated using the principle of superposition.
The electric potential due to each charge is found by multiplying the charge magnitude by the Coulomb constant and dividing by the distance from the charge to the point of interest.
The total electric potential at the free corner is the sum of the individual potentials due to each charge.
In this case, the electric potential at the free corner would be the sum of the potentials due to q1, q2, and q3.
Since q1 and q3 are positive charges and q2 is a negative charge, the potential due to q1 and q3 would be positive, while the potential due to q2 would be negative.
To calculate the potentials, you would use the formula V = k * q / r, where V is the electric potential, k is the Coulomb constant (9 x 10^9 Nm^2/C^2), q is the charge, and r is the distance.
Therefore, the electric potential at the free corner would be the sum of the potentials:
V = (k * q1) / r1 + (k * q2) / r2 + (k * q3) / r3
Substituting in the values:
V = (9 x 10^9 Nm^2/C^2 * 7.00 µC) / 5.00 cm + (9 x 10^9 Nm^2/C^2 * (-7.00 µC)) / 2.50 cm + (9 x 10^9 Nm^2/C^2 * 8.00 µC) / √(5.00 cm)^2 + (2.50 cm)^2
Simplifying the equation gives the final answer for the electric potential at the free corner.