If Q = 16 nC, a = 3.0 m, and b = 4.0 m. what’s the magnitude regarding the electric area at point P? [24 N/C]

In BPC

tan =a/b = 3/4

=

tan-1(0.75)

= 36.87 deg

BP = sqrt(a2 + b2) = sqrt((3)2

+ (4)2) = 5 m

Eb = k Q/BP2 = (9 x 109) (16 x

10-9)/52 = 5.76 N/C

Ea = k Q/AP2 = (9 x 109) (16 x

10-9)/42 = 9 N/C

Ec = k Q/CP2 = (9 x 109) (16 x

10-9)/32 = 16 N/C

Web electric area along X-direction is offered as

Ex = Ea + Eb Cos36.87 = (9) +

(5.76) Cos36.87 = 13.6 N/C

Web electric area along X-direction is offered as

Ey = Ec + Eb Sin36.87 = (16) +

(5.76) Sin36.87 = 19.5 N/C

Web electric area is offered as

E = sqrt(Ex2 + Ey2) =

sqrt((13.6)2 + (19.5)2) = 23.8 N/C

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