A charge q= -3.00 uC is locate at a point in space where the components of the e
ID: 1306766 • Letter: A
Question
A charge q= -3.00 uC is locate at a point in space where the components of the electric charge are Ex=135N/C and Ey=-270N/C, What is the magnitude and direction of the force on the charge q?
A 3.00 uC point charge is placed at the center of a cube. (a) what is the net electric flux though the cube and (b) what is the electric flux though one side of the cue?
An Air=filled parallel plate capacitor has a plane area of 0.200m^2 and a plate separation of 0.100mm. if the charge on each plate has a magnitude of 2.00x10^-6C, what is the potential difference across he plates?
Explanation / Answer
1st part :
Fx=qEx=3 *135=405 uN ,in -ve x direction
Fy=qEy=3*270=810 uN , +ve y-direction
F=sqrt(Fx^2 + Fy^2)=sqrt(405^2 + 810^2)=905.6 uN , 145 deg from x axis in anticlokwise direction or in North-West direction
2nd Part :
Gauss' law states that the total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity of free space:
(1) flux = Q / epsilon0,
where
Q = the total enclosed charge = 7.00nC = = 3 * 10^ -6 C
epsilon0 = the permittivity of free space = 8.85 x 10^ -12
flux= 3 * 10^ -6 / 8.85 x 10^ -12
= 33.89 * 10^4 Nm^2/C [or V
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