YA d- X A line charge of charge density, pl = 0.0001 C/m is of length, 1=2.5 m. Find the electric field component Ey at the point, d=5 m. away from one end as shown in the figure above.
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- What is the magnitude of the electric field just above the middle of a large, flat, horizontal sheet carrying a charge density of 98.0 nC/m2?Point charges q1=50C and q2=25C are placed 1.0 m apart. (a) What is the electric field at a point midway between them? (b) What is the force on a charge q3=20C situated there?Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300 cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.
- The charge per unit length on the thin rod shown below is . What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge dq=dx . Then find the net field by integrating dE over the length of the rod.)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.Two parallel plates 10 cm on a side are given equal and opposite charges of magnitude 5109 C. The plates are 1.5 mm apart. What is the electric field at the center of the region between the plates?
- Charge is distributed along the entire x-axis withuniform density x and along the entire y-axis withuniform density y . Calculate the resulting electric field at(a) r=ai+bj and r=ck .A total charge q is distributed uniformly along a thin, straight rod of length L (see below). What is the electric field at P1?AtP2?Two parallel conducting plates, each of cross-sectional area 400 cm2, are 2.0 cm apart and uncharged. If 1.01012 electrons are transferred from one plate to the other, what are (a) the charge density on each plate? (b) The electric field between the plates?
- A proton enters the uniform electric field produced by the two charged plates shown below. The magnitude of the electric field is 4.0105 N/C, and the speed of the proton when it enters is 1.5107 m/s. What distance d has the proton been deflected downward when it leaves the plates ?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.Consider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed uniformly throughout its volume. (a) is the electric force exerted on an electron when it is 3.01015 m from the center of the nucleus? (b) What is the acceleration of the electron at this point?