Question

Two point charges are on the y axis. A 4.50-σC charge is located at y=1.25 cm , and a -2.24-σC charge is located at y=-1.80 cm. Find the total electric potential at (a) the origin

Answer 1

Two point charges are on the y axis. A  4.50-σC charge ($q_1$) is located at y=1.25 cm ($r_1$) , and a -2.24-σC charge ($q_2$) is located at y=-1.80 cm ($r_2$).

The total electric potential at the origin is $2.12\times10^6V$.

How to calculate the total electric potential at the origin?

The total electric potential at some point due to several point charges is represented by:

$V=k_e \sum _i \frac{q_i}{r_i}$

Here,

$k _e= 8.988 \times 10^9 N \cdot m^2/C^2$ (Columbic constant)

The total electric potential at point $O$ is the sum of the potentials due to $q_1$ and $q_2$ will be:

$V_O=k_e(\frac{q_1}{r_1} +\frac{q_2}{r_2} )$

Substituting the values, we get:

$V_O=8.988\times10^9(\frac{4.5 \times 10^{-6}}{0.0125} +\frac{-2.24\times10^{-6}}{0.018} )=2.12\times10^6V$

Hence, the total electric potential at the origin is$2.12\times10^6V$.4

To learn more about total electric potential, refer to:

brainly.com/question/16843018

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