As shown in the following figure, the negative charge Qi=0.5 µC is placed in different position. (a) Find the electrie field at the point P caused by Q, in the figure (c). (b) Find the the electric field at the origin produced by Qg in the figure (d). P(0.3m,0.4m) „P(0.3m,0.4m) (c) (d)
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- If a point charge is released fmm rest in a unifonn electlic field, will it follow a field line? Will it do so if the electlic field is not uniform?Check Your Understanding Check that the electric fields for the sphere reduce to the correct values for a point charge.Check Your Understanding What angle should there be between the electric field and the surface show in Figure 6.11 in the previous example so that no electric flux passes through the surface?
- Can you arrange the two point charges q1=2.0106C and q2=4.0106C along the x-axis so that E=0 at the origin?On a typical clear day, the atmospheric electric field points downward and has a magnitude of approximately 100 N/C. Compare the gravitational and electric forces on a small dust particle of mass 2.01015 g that carries a single electron charge. What is the acceleration (both magnitude and direction) of the dust particle?Which of the following electric field lines are incorrect for point charges? Explain why.
- Two charges lie along the x-axis. Is it nue that the net electric field always vanishes at some point (other than infinity) along the x-axis?A spherical lubber balloon carries a total charge Q distributed uniformly over its surface. At r=0 , the radius of the balloon is R. The balloon is then slowly inflated until its radius reaches 2R at the time t0 . Determine the electric field due to this charge as a function of time (a) at the surface of the balloon, (b) at the surface of radius R, and (c) at the surface of radius 2R. Ignore any effect on the electric field due to the material of the balloon and assume that the radius increases uniformly with time.A charge of 30C is distributed uniformly a spherical volume of radius 10.0 cm. Determine the electric field due to this charge at a distance of (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the center of the sphere.
- A long silver rod of radius 3 cm has a charge of 5C/cm on its surface. (a) Find the electric field at a point 5 cm from the center of the rod (an outside point). (b) Find the electric field at a point 2 cm from the center of the rod (an inside point).Calculate the electric field due to a uniformly charged rod of length L, aligned with the x-axis with one end at the origin; at a point P on the z-axis.Suppose a speck of dust in an electrostatic precipitator has 1.00001012 protons in it and has a net charge of 5.00 nC (a very large charge for a small speck). How many electrons does it have?