please show all work for parts A-D. For part B, the answer is given in the paren
ID: 1595131 • Letter: P
Question
please show all work for parts A-D. For part B, the answer is given in the parentheses; however, I do not know how to get there.
Charge q 25nC is at the origin, charge q2 15nCis on the x-axis at x- m, and charge q 20 nc is at the point x 2.0 m, y 2.0 m. Determine: a. the magnitude and direction of the electric field at the point x 2.0 m, y 2.0 m due to q1 and q2. b. the magnitude and direction of the resultant electric force on q0 (4.8x10-7N). c. the electric potential at the point x-2.0 m, y -2.0 m due to q and q2. d. The electric potential energy of the system q1, q2, q3.Explanation / Answer
(a)
Electric Field due to point charge is given by,
E = k*q/r^2
At (2.0, 2.0)
r = sqrt(2.0^2 + 2.0^2) = 2.83 m
E = (8.9*25)/2.83^2 * cos(45) i^ + ( (8.9*25)/2.83^2 * sin(45) + (8.9*15)/2.0^2 )j^
E = 19.64 i^ + 53.0 j^
|E| = 56.5 N/C
Direction = 69.66o Counterclockwise from +ve x axis !!
(b)
Magnitude of Electric force,
F = q*E = 20 * 10^-9 * 56.5 N
F = 1.13 * 10^-6 N
Direction = 69.66o Counterclockwise from +ve x axis !!
(c)
Electric Potential , V = 8.9* (25/2.83 + 15/2) V
V = 145.4 V
(d)
q3 is not mentioned !!
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.