charged solid sphere exerts on the northern hemisphere. Express your answer in t

Question

charged solid sphere exerts on the northern hemisphere. Express your answer in terms of the radius R and the total charge Q. [Answer: (1/46)(3Q2/16R21 Problem 2.59 Prove or disprove (with a counterexample) the following Theorem: Suppose a conductor carrying a net charge Q. when placed in an external electric field E., experiences a force F: if the external field is now reversed (E, -Ee), the force also reverses (F -F). What if we stipulate that the external field is uniform? Problem 2.60 A point charge g is at the center of an uncharged spherical conducting shell, of inner radius a and outer radius b. Question: How much work would it take to move the charge out to infinity (through a tiny hole drilled in the shell)? [Answer Problem #8 (not from [Griffiths). Two metal spheres, ofradii R, and R2, are far apart from one another compared with these radii. Given a total amount of charge Q, how should it be divided so as to make the potential energy of the system as small as possible? Show that with that division the potential difference between the two spheres is zero. Problem #9 (not from 1Griffiths). Consider a capacitor made of four parallel plates with large area A, evenly spaced with small separation s. The first and d arn cnnected by a wire, as are the second and fourth. What is the

Explanation / Answer

since F=QE whereF and E are vector quantities, therefore if we change the direction of the field , the direction of the force will also change i.e F=-QE.

we are considering that the external electric field is uniform. i.ethe magnitude of the field is same everywhere, so the above theorem will apply.

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