slader) Two charges are arranged at corners of a square which has a side length of L = 0.25 m. The values of the charges are q1 = −3.3 × 10−6 C and q2 = +4.2 × 10−6 C. (a) Find the electric potential at points A and B

Respuesta :

Explanation:

Formula to calculate the electric potential is as follows.

            [tex]V_{A} = \frac{kq_{1}}{\sqrt{2}L} + \frac{kq_{2}}{L}[/tex]

Putting the given values into the above formula as follows.

       [tex]V_{A} = \frac{kq_{1}}{\sqrt{2}L} + \frac{kq_{2}}{L}[/tex]

               = [tex]\frac{9 \times 10^{9}}{0.25}[\frac{-3.3}{\sqrt{2}} + 4.2] \times 10^{-6}[/tex]

               = [tex]6.72 \times 10^{4} V[/tex]

Hence, electric potential at point A is [tex]6.72 \times 10^{4} V[/tex].

Now, the electric potential at point B is as follows.

         [tex]V_{B} = \frac{kq_{1}}{L} + \frac{kq_{2}}{\sqrt{2}L}[/tex]

                  = [tex]\frac{9 \times 10^{9}}{0.25} [-3.3 + \frac{4.2}{\sqrt{2}}] \times 10^{-6}[/tex]

                  = [tex]-1.19 \times 10^{4} V[/tex]

Hence, electric potential at point B is [tex]-1.19 \times 10^{4} V[/tex].