A charge $q_{1}$ is placed on the $y$-axis at $y=4.0 \mathrm{~m}$ and the resulting potential at the position $(3.0 \mathrm{~m}, 4.0 \mathrm{~m})$ is $3.0 \mathrm{~V}$. The charge $\mathrm{q}_{1}$ is removed and a charge $\mathrm{q}_{2}$ is placed on the $\mathrm{x}$-axis at $\mathrm{x}=3.0 \mathrm{~m}$ and the resulting potential at the position $(3.0 \mathrm{~m}, 4.0 \mathrm{~m})$ is $4.0 \mathrm{~V}$. If both charges are in place simultaneously, what is the potential at $(3.0 \mathrm{~m}, 4.0 \mathrm{~m})$ ?

Question

Quizplus · Accepted Answer

Electric potential is a scalar quantity, so the total potential at a point due to multiple charges is simply the algebraic sum of the potentials due to each charge individually. Therefore, the total potential at the point (3.0 m, 4.0 m) when both charges are present is $3.0 \mathrm{~V} + 4.0 \mathrm{~V} = 7.0 \mathrm{~V}$.

A Charge q1q_{1}q1​ Is Placed on The yyy -Axis At y=4.0 my=4.0 \mathrm{~m}y=4.0 m And the Resulting Potential at the Position

A Charge $q_{1}$ Is Placed on The $y$ -Axis At $y=4.0 \mathrm{~m}$ And the Resulting Potential at the Position