Four charges of equal charge +q are placed at the corners of arectangle of sides

Question

Four charges of equal charge +q are placed at the corners of arectangle of sides 3.0 cm and 4.0 cm. what is the 1) electricfield and the b/ potential at the center of the rectangle if q=1.50columbs.

Explanation / Answer

a = 3.0 cm b = 4.0 cm The length of the diagonal r = 32 +42 = 5.0 cm ==> corner to center of the rectangular is d = 2.5 cm =2.5 x 10-2 m The total Electric field at the center of the rectangular isgiven    E = E1 + E2+ E3 + E4     = 4keq/r2                   = 4 * 9x109 * 1.5 x 10-6 / (2.5 x10-2 )2                   = 3.375 x 109 N/C The total potential at the center of the rectangular isgiven    V = V1 + V2+ V3 + V4     = 4keq/r                   = 4 * 9x109 * 1.5 x 10-6 / 2.5 x10-2                   = 21.6 x 105 V

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