Electric charges and field
1. 1. An oil drop of 12 excess electrons is held stationary under a constant electric field of 2.55x104 v/m. The density of oil is 1.26 gm/cc. Estimate the radius of the drop.[Ans:1.428x10-6m]
2. Two small spheres each of mass 10-6kg are suspended from a point by silk threads 50 cm long. They are equally charged and repel to a distance of 20cm.Calculate the charge on each.[Ans:3.012x10-9C]
3. Two charges +20µC and -20µC are placed 20cm apart at A and B respectively. Compute the electric field at C 20 cm away from both A and B.[Ans:4.5x106N/C]
4. Calculate the work done in turning a dipole of moment 36x10-6 C m aligned in an electric field of 5X 105 N C-1 through an angle of 180º.[Ans:36J]
5. Two charges +1µC and -1µC are 1 cm apart. Calculate the electric field at a point distant 10 cm from the midpoint (i) on the axial line (ii) on the equatorial line.
6. A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density 80 µC/m2 . Find the charge on the sphere. What is the total electric flux leaving the surface of the sphere?
7. Two point charges +4e and +e are separated by a distance ‘a’. Where should the third point charge be placed for it to be in equilibrium? • 2µC
8. Two equal positive charges each of +2µC and 3m a charge of+3µC are placed as shown. o 4m 3µC
Calculate the magnitude and direction of the 3m force on the +3µC . •2µC
9. How far apart should two protons be placed if the electrostatic force by one on the other is equal to the weight of an electron?
10. Two charges +0.5µC and -0.5µC are 10-3micron apart. Calculate the electric field intensity at a point 20 cm away from their mid point on the equatorial line.
11. An electric dipole is placed at an