Charge q1 = 10uC is placed at location (0.00 cm, 0.00 cm), charge q2 = -5uC is p
ID: 1961000 • Letter: C
Question
Charge q1 = 10uC is placed at location (0.00 cm, 0.00 cm), charge q2 = -5uC is placed at location (5.00 cm, 0.00 cm), and charge q3 = 5uC is placed at location (0.00 cm, 5.00cm).a) Find the total potential due to the three charges at point p, located at (0.00 cm, -5.00 cm).
b) Find the total electric field due to the three charges at the same location. Give the magnitude and direction of the field at that point.
A charge q4 = -5uC is brought in very slowly from infinity and placed at point p.
c) Find the potential energy gained or lost by charge q4.
d) Find the total electrical force due to charges q1, q2,and q3 on q4.
Explanation / Answer
a)potential =k*q/r
total potential=(k*10/5 + k*5/10 + k*-5/52)*10-4
=(4*k-k/(2))*10-4 (k=9*109)
=29.63*105 v
b)field due to q1 and q3
=(k*10/5^2 +k*5/10^2)*10-2 =4.05*107in downward direction (south)
field due to q2
=(k*-5/(5*2)^2)*10-2 in 45 west of south
=-.63*107 in south + -.63*107 in west
total field=(-3.42j+.63i)*107
=3.47*107
c)potential energy lost=29.63*105*-5=148.15*105J
d)force=netfield*charge
=3.47*107*-5
= 17.35*107