Question

Calculate electric potential at a centre of a square of side √2 m having charges 100micro columb -50 microC 20uc and -60uC at 4 corners of the square

Answer 1

Answer:

Let A ,B ,C ,D be the corners of a square and charges q1, q2, q3 and q4 be placed at the 4 corners respectively.

let q1=100 μC ; q2= -50μC ; q3= 20μC and q4= -60μC

electric potential at center of square ( V)

           = kq1/r - kq2/r + kq3/r - kq4/r

           = k/r ( q1 - q2 + q3 - q4 )

           = (9x10⁹ / √2) x( 100μC - 50μC + 20μC - 60μC )

           = (9x10⁹ / √2)x 10μC

           = 9x10⁹ x 10 x 10⁻⁶ / √2

           = 9x10⁴ / √2

           = 6.363 x 10⁴ J/C