Three bees are oriented as shown in the figure. B1 has 23 HC of charge, B2 has 2

Question

Three bees are oriented as shown in the figure. B1 has 23 HC of charge, B2 has 2 HC of charge, and B3 has 21 HC of charge. 5 cm 10 cm B2 B, What are the magnitude and direction of the electric field at B3? 1.49E6 How do you find the distance between Bi and B3? How do you find the net electric field when multiple charges are present? Did you convert to SI units? N/C 342.04 × direction Does the sign o a charge affect its direction? counterclockwise from the +x-axis Supporting Materials Physical Constants Submit Answer | | Save Progress

Explanation / Answer

at B3,

E1 = k*q1/r1^2

= 9*10^9*23*10^-6/(0.05^2 + 0.1^2)

= 1.656*10^7 N/c (below +x axis)

E2 = k*q2/r2^2

= 9*10^9*2*10^-6/0.1^2

= 1.8*10^6 N/c (towards -x axis)

Enetx = E1*cos(theta) - E2

= 1.656*10^7*10/sqrt(5^2 + 10^2) - 1.8*10^6

= 1.30*10^7 N/c

Eney = -E1*sin(theta)

= -1.656*10^7*5/sqrt(5^2 + 10^2)

= -0.741*10^7 N/c

Enet = sqrt(Enetx^2 + Enety^2)

= sqrt(1.3^2 + 0.741^2)*10^7

= 1.50*10^7 N/c

direction : theta = tan^-1(Enety/Enetx)

= tan^-1(-0.741/1.3)

= 29.7 degrees below +x axis

= 330.3 degrees counetcr clocksie from +x axis.

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