In a rectangular coordinate system a positive point charge q = 6.00 x 10^-9C is placed at the point x = +0.150 m, y = 0, and an identical point charge is placed at x = -0.150 m, y = 0. (a) Find the x- and y-components, magnitude and the direction of the electric field at the following points (a) the origin; (b) x = 0.300 m, y = 0; (c) x = 0.150 m, y = -0.40; (d) x = 0, y=0.200 m (a) 0 N/C (b) 2667 N/C (c) 526 N/C , 284 deg counter clockwise from positive x axis

a) 0N/C

b) 2660.7N/C

c) 543.7N/C

Explanation:

To find the electric field in all these cases you take into account the x and y component of the total Electric field for each point.

a)

for P(0,0), only there is the x component of the field because the point is the parallel line that connects both charges:

  ( 1 )

k: Coulomb's constant = 8.98*10^9Nm^2/C^2

r1: distance to the first charge = 0.150m

r:2 distance to the second charge = 0.150m

Due to in this case the distance r1=r2: you obtain, by replacing in (1):

b)

for P(0.300 , 0 ) you also have only the x component of E, and the electric field generated by each charge are directed toward right:

r1 = 0.300m+0.150m = 0.450m

r2 = 0.300m-0.150m = 0.150m

By replacing r1 and r2 in ( 1 ) you obtain:

c)

for P(0.150 , -0.40) you have both x and y components for E:

the second charge does not contribute for the x component of E.

To find r1 you use Pitagora's theorem:

r2 = 0.40m

the angle is obtain by using a simple trigonometric relation:

Then, by replacing the values of r1, r1, q, theta and k you obtain:

hence, the magnitude of E is 543N/C with an angle of 278° from the positive x axis.

the results is a decrease in air temperature with an increase of altitude.

explanation:

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.