Question

Problem 23.35 Part A Give your answer in component torm. (Assume that z-axis is horisontal and points to the right, and g-axis points upward) Express your answer in terms of the unit vectors i and j. Express your answer using two significant figures Review What are the strength and direction of the electric field at the position indicated by the dot in the Sigure Figure 1)? 1300000i 12000 j N/C Submit Figure Incorrect: Try Again; 2 attempts remaining Part B 2.0 cm 10 aC .0 nC Give your answer as a magnitude and angle measured ew from the positive a-xs Express your answer using twe significant figures 5,0 sC N/C

Answer 1

Direction of the electric field at the point from each source is as shown

we take +x to the right and +y to the top of the page

Field from 10nC E₊₁₀ = 9.0E+9 *10E-9 /(4²+2²)E-4

= 4.5 E+4 N/C

x-comp = 4.5E+4 Cos(63) = 2.043E+4 N/C

y -comp = -4.5E+4 Sin(63) = -4.01 E+4 N/C

field from +5 nC E₊₅ = 9.0E+9 * 5E-9 /(2²)E-4

= 11.25 E+4 N/C ( +x direction)

field from -5 nC E_-5 = 9.0E+9 * 5E-9 /(5²)E-4

= 1.8 E+4 N/C ( +y direction )

Total x-comp = 2.043E+4 +11.25E+4 = 13.293 E+4 N/C

Total y-comp = -4.01E+4 + 1.8 E+4 = -2.21E+4 N/C

mag of the field = 13.48 E+4 N/C

direction = arcTan( -2.21/13.293) = -9.44^o with +x-axis