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- Check Your Understanding A thin straight wire has a uniform linear charge density 0 . Find the electric field at a distance d from the wire, where d is much less than the length of the wire.Check Your Understanding If the electric field in Example 6.4 is E=mxk . what is the through the rectangular area?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?
- A disk of radius R is cut in a non-conducting large plate that is uniformly charged with charge density (coulomb per square meter). See below. Find the electric field at a height h above the center of the disk (hR,hlorw) . (Hint: Fill the hole with . )A very long, thin wile has a uniform linear charge density of 50C/m . What is the electric field at a distance 2.0 cm from the wire?A thin conducting plate 1.0 m on the side is given a charge of 2.0106C . An electron is placed 1.0 cm above the center of the plate. What is the acceleration of the electron?
- 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 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).Shown below is a small sphere of mass 0.25 g that carries a charge of 9.01010 C. The sphere is attached to one end of a very thin silk string 5.0 cm long. The other end of the suing is attached to a large vertical conducting plate that has a charge density of 30106 C/m2. What is the angle that the string makes with the vertical?
- 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?The charge per unit length on the thin rod shown here is . What is the electric force on the point charge q? (See the preceding problem.)Check Your Understanding the electric field 100k like in a system with two parallel positively charged planes with equal charge densities?