What is the electric field at point 1 in (Figure 1) ? Give your answer in compon

ID: 1566462 • Letter: W

Question

What is the electric field at point 1 in (Figure 1) ? Give your answer in component form. Assume that a = 3.3 cm and b = 4.2 cm

Enter the x and y components of the electric field separated by a comma.

What is the electric field at point 2 in the figure? Give your answer in component form.

Enter the x and y components of the electric field separated by a comma.

What is the electric field at point 3 in the figure? Give your answer in component form.

Enter the x and y components of the electric field separated by a comma.

a 10 nC

Given, a=0.033 m b= 0.042 m, E= kq/r2

a) for Electric field at 1

E= kq/a2 = (9x109 x 10x 10-9 ) / (0.033)2

Ey=-82644.6 N/C j (in -ve y direction).

Ex=0

b) Electric field is acting along the diagonal (towards the negative charge) so it has both x and y components.

r= sqrt(0.0332 + 0.0422)

r=0.0534

let theta= angle which diagonal( connecting charge with point2) makes with x axis

theta = tan-1(3.3/4.2)

theta=38.16 degrees

E= kq/r2 = (9x109 x 10x 10-9 ) / (0.0534)2

E=31561.7 N/C

Ex= - Ecostheta

Ex=- 31561.7cos38.16

Ex=-24816.6 N/c

Ey= -E sin theta

Ey=-31561.7 sin 38.16

Ey=-19500.7 N/c

so E= (-24816.6i - 19500.7j) N/c

E= kq/b2 = (9x109 x 10x 10-9 ) / (0.042)2

Ex=-51020.4 N/C j (in -ve x direction).

Ey=0

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