Two point charges, +4.00 ìC and -7.00 ìC, are separated by 2.20 m. What is the electric potential midway between them?
Electric potential is a scalar, so you can add.
V= kQ1/1.1 +kQ2/1.1 notice the Q2 is a negative sign.
To find the electric potential midway between the two point charges, we can use the formula for electric potential due to a point charge:
V = kq / r
where V is the electric potential, k is the Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance from the charge.
In this case, we have two charges: +4.00 ìC and -7.00 ìC, separated by a distance of 2.20 m. To find the potential midway between them, we need to calculate the potential due to each charge at that point and then add them up.
First, let's calculate the electric potential due to the +4.00 ìC charge. Using the formula, we have:
V1 = (8.99 x 10^9 Nm^2/C^2) * (4.00 x 10^-6 C) / (1.10 m)
Now, let's calculate the electric potential due to the -7.00 ìC charge. Using the formula again, we have:
V2 = (8.99 x 10^9 Nm^2/C^2) * (-7.00 x 10^-6 C) / (1.10 m)
Finally, to find the electric potential midway between them, we add the potentials together:
V_midway = V1 + V2
Plug in the values and solve for V_midway:
V_midway = (8.99 x 10^9 Nm^2/C^2) * (4.00 x 10^-6 C) / (1.10 m) + (8.99 x 10^9 Nm^2/C^2) * (-7.00 x 10^-6 C) / (1.10 m)
V_midway = -2.417 x 10^6 V
Therefore, the electric potential midway between the two point charges is -2.417 x 10^6 Volts.