You conduct two experiments to test the magnitude and direction of an electric f
ID: 1506005 • Letter: Y
Question
You conduct two experiments to test the magnitude and direction of an electric field. The experiment is conducted by placing charged metal spheres in the electric field and measuring magnitude and direction of the electric force exerted on the spheres.
(a) A sphere with a charge of +20.9 µC is placed in an electric field. The measured magnitude and direction of the electric force is 42.4 µN, due east. The electric field has what magnitude and direction? magnitude N/C direction
(b) The second sphere has a charge of 10.8 µC and is placed in an electric field. You find that the electric force on the sphere is 29.8 µN, due west. The electric field has what magnitude and direction? magnitude N/C direction
Explanation / Answer
a) here,
charge , q = 20.9 uC
electric force = 42.4 uN due east
as electric force = q * electric field
42.4 uN due east = 2.09 uC * electric field
electric field = 2.03 N/C due east
the electic field is 2.03 N/C in the east direction
b)
electric force = 29.8 uN due west
as electric force = q * electric field
29.8 uN due west = -10.8 * electric field
electric field = 2.76 N/C in east direction
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