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Solution for 3 D PHYS206 Lan2017Spring x C Secure h morgan blackboard.co bdav/pi

ID: 1529038 • Letter: S

Question

Solution for 3

D PHYS206 Lan2017Spring x C Secure h morgan blackboard.co bdav/pid-1950627-dt content-rid-5851986 1/courses/16788.201730/PHYS206 Lan2017Spring Assignment Week2R.pdf Apps Ham Radio For Du D Diamond Antenna AGeneral formation Do Butternut HF6v 6-Ban welcome to Security Video Groups G Convert And Resize A D Watch CNN live ICN 3. (35 points) (Problems 24 in textbook Chapter 23 A small object of maas 3.80 g and charge -18.0 uC is suspending motionless above the ground when immersed in a uniform electric field perpendicular to the ground. What are the magnitude and direction of the electric 3:25 AM i) 2/6/2017

Explanation / Answer

The object must have an upward force acting on it for it to hover motionless. This force must be equal in magnitude to

the gravitational force on the object.

The gravitational force is:

Fg = m*g = (0.00380kg)(9.8m/s^2) = 0.03724N

The upward force must be an electric force from the electric field. This force is:

Fe = q*E

So,

0.03724N = q*E

E = (0.03724N)/q where q is the size of your charge.

If your charge is -18.0C then this field would have magnitude:

E= (0.03724N)/(-18.0*10^-6C) = 2069N/C

IF YOUR CHARGE IS NOT -18C THEN PLUG IN THE CORRECT NUMBER!

Lastly, the field would have a direction downward in order to produce an upward force on a negative charge.

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