A rod and two balloons A very thin glass rod 4 meters long is rubbed all over wi

Question

A rod and two balloons A very thin glass rod 4 meters long is rubbed all over with a silk cloth. It gains a uniformly distributed charge 1.4 times 10-6 C. Two small spherical rubber balloons of radius 1.2 cm are rubbed all over with wool. They each gain a uniformly distributed charge of -4 times 10-8 C. The balloons are near the midpoint of the glass rod, with their centers 3 cm from the rod. The balloons are 2 cm apart (4.4 cm between centers). Find the net electric field at the location marked by the times, 0.6 cm to the right of the center of the left balloon. Things to think about: Which objects make nonzero contributions to at this location? What are the correct distances from sources to the observation location? What is the direction of due to the rod? (The drawing is not to scale; read the problem statement carefully. Assume the +x axis is to the right, the +y axis is up, and the +z axis is out.) What approximations did you make, if any? Check all that apply. Use approximate formula for electric field of a charged spherical shell. Assume distance to observation location is small compared to length of rod Neglect polarization of balloons Neglect polarization of rod Next a proton is placed at that same location (marked by the x). What is the force acting on the proton?

Explanation / Answer

electric field due to line charge =lambda/2*pi*epsilon*r = 209713.9 lambda= 3.5 *1^-7 c/m and due to the sphere on the right side of te point= q/4*pi*epsilon*r^2 = -251825.7 the other sphere doesnot contribute u electric field because the point lies inside. net field = E= 251825.7 i+-209713.9 j + 0k F/C f=q*E=e*E= 5.24*10^-14 N

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