Question 31 of 32 Incorrect Map A Sapling Learning macmillan learning Two charge

Question

Question 31 of 32 Incorrect Map A Sapling Learning macmillan learning Two charges are located in the x-y plane. If q,--4.40 nC and is located at x = 0.00 m, y = 1.080 m and the second charge has magnitude of q2 4.40 nC and is located at x - 1.50 m, y -0.450 m, calculate the x and y components, E and E, of the electric field, E, in component form at the origin, (0,0), calculate the x and y components, Ex and Ey, of the electric field, E, in component form at the origin, (0,0) The Coulomb Force constant is 1/(4) = 8.998 109 N. m2/C2 Number N/ C Number N/ C Previous O Check Answer Next Exit Hint

Explanation / Answer

Electric field strength due to a point charge, E = k q / r^2

where k = 1/ (4 pi e0)

due to q1:

E1x = 0

E1y = (8.999 x 10^9) (4.40 x 10^-9) / (1.080^2) = 33.95 N/C

due to q2:

E2x = - (8.999 x 10^9)(4.40 x 10^-9) / (1.50^2) = - 17.58 N/C

E2y = -(8.99 x 10^9)(4.40 x 10^-9) / 0.450^2 = - 195.34 N/C

Ex = E1x + E2x = - 17.58 N/C .............Ans

Ey = E1y + E2y = - 161.39 N/C ............Ans

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