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- What are the stable orientation(s) for a dipole in an external electric field? What happens if the dipole is slightly peltulbed from these orientations?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.Examine the summary on page 780. Why are conductors and charged sources with linear symmetry, spherical symmetry, and planar symmetry categorized as special cases rather than major concepts or underlying principles?
- Repeat your calculations for the preceding problem, given that the charge is distributed uniformly over the surface of a spherical conductor of radius 10.0 cm.What is the force on the charge q at the lower-right-hand comer of the square shown here?Find the electric field (magnitude and direction) a distance z above the center of a circular loop or radius r that carries a uniform surface charge sigma. What does the formula give when r -> infinity? What happens when z>>r?
- Find the electric field a distance z above the center of a circular loop of radius r (See attatched figure) that carries a uniform line charge λ.Two infinite line charges with uniform linear charge densities λ1 >0 and λ2 < 0, are oriented parallel to the z-axis; see figure below. Thefirst line charge intersects the x-axis at x = −3a while the other one atx = 9b, where a and b are both positive constants (in units of m). Whatis the net electric field at the origin due to these line charges?Use the dipole approximation to find what the potential (magnitude and sign) would be at point A and point B
- Consider the electric dipole shown in the figure below, formed by two charges, one of which is positive with charge +q and the other negative with charge -q, separated by a distance d. Find the total electric field at a point P on the axis of the dipole, at a distance from its center. Make an analysis of the electric field value for points far away from the dipole.Find the electric field a distance z above the center of a flat circular disk of radius R (See attatched figure) that carries a uniform surface charge σ. What does your formula give in the limit R → ∞? Also check the case z >> R.Determine the total charge distribution on r = b, and on r = a., explain Check if the electrical field for this configuration match the findings that for all points r inside the circle r<a is E= q/4piΕor2 and for all points r outside the shell r>a is E=0