Find the magnitude and the direction of the electric field this combination of c

Question

Find the magnitude and the direction of the electric field this combination of charges produces at point P, which lies 6.00 cm from the -q2 charge measured perpendicular to the line connecting the three charges. Assume that q1=5.00uc and q2=2.45uc.

constant Part A Three negative point charges lie along a line as shown in the figure (Figure 1). Find the magnitude and direction of the electric field this combination of charges produces at point P, which ies 6.00 cm from the charge measured perpendicular to the line connecting the three charges. Assume that 9.-5.50 pC and g" 2.45 1.05 10 N/C Figure 1 af 1 Submit 9 Incorrect; Try Again; 4 attempts remaining 8.00 cm 6.00 cm Part B #2 92 away from . 8.00 cm . toward -9

Explanation / Answer

angle made by the line from p to q1 at point P = theta = tan^-1(8/6) = 53.13

r1 = sqrt(8^2+6^2) = 10 cm = 0.1 m

E1x = -k*q1*costheta/r1^2 = -9*10^9*5.5*10^-6*cos53.13/0.1^2

E1x = -29.7*10^5 N/C

E2x = -k*q2/x^2 = -9*10^9*2.45*10^-6/0.06^2 = -61.25*10^5 N/C

Ex = E1x + E1x + E2x = -120.65*10^5 N/C = -1.21*10^7 N/C <<---------ANSWER

part A

magnitude E = 1.21*10^7 N/C <<---------ANSWER

part B

direction = toward -q2

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