Two charges, Q 1 = 3.00 ?C, and Q 2 = 6.80 ?C, are located at points (0,-4.00 cm

ID: 1432300 • Letter: T

Question

Two charges, Q1= 3.00 ?C, and Q2=6.80 ?C, are located at points (0,-4.00 cm) and (0,+4.00 cm), as shown in the figure.

A.What is the magnitude of the electric field at point P, located at (5.00 cm,0), due to Q1 alone?

B. What is the x-component of the total electric field at P?

C. What is the y-component of the total electric field at P?

D. What is the magnitude of the total electric field at P?addition and recall that Ep = sqrt( Epx^2 + Epy^2 ).

F. What is the angle (with respect to the x-axis) of the total electric field /at point P (use deg as the symbol for degrees)?

A) Co-ordinates of p = (4,0)
Field due to Q1 = k*Q1/(0.04^2 + 0.04^2) = 8.343 MN/C

B) Field due to Q2 = 18.912 MN/C
Angle, theta = arctan(1) = 45
X component of toal field = (8.343 + 18.912)cos(45) = 19.27 MC/N

C) Y component = (8.343 - 18.912)sin(45) = -7.473 MN/C

D) Total Field = 20.998 MN/C
E) Angle, beta = arctan(-7.473/19.27) = -21.19 degrees with x-axis

where 1 MN/C = 10^6 N/C

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