Quiz3: Identical 2.0 µC charges are located on the vertices of a square with sides that are 2.0 m in length. Determine the infinity) at the center of the square. electric potential (relative to zero at

V = 50.91 kV  

Explanation:

given data

charges = 2.0 µC  =  2.0 ×  C

length of a =2.0 m

solution

we get here first distance by corner to center that is express as

r = a ÷ √2     ...............1

put here value and we get

r = 2.0 ÷ √2

r = √2 m

and

here potential at distance r due the point charge (q) is express as

V = q ÷ ( 4 π εo r  )     ...............2

so 4 charges the total potential will be as

V = 4q ÷ ( 4 π εo r  )    ...............3

and here 1 ÷ (4 π εo ) = 9.0 × N m²/C²

so that

total potential at the center will be

V = ( 4 ×  9.0 ×  × 2.0 × )  ÷ √2

solve it and we will get

V = 50.91 kV