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Electric Field Inside a Conducting Sphere: Is it Always Zero?
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The electric field inside a conducting sphere is always zero, regardless of the presence of charges on its surface. This occurs because charges redistribute themselves on the surface of the conductor, creating an electric field that cancels any internal field. The conducting nature of the sphere ensures that any excess charge resides on the outer surface, maintaining zero electric field within. This principle is fundamental in electrostatics and is crucial for solving related homework problems. Understanding this concept is essential for grasping the behavior of electric fields in conductors.
My attempt:
Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE.
PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##.
PE of part in the tube = ##\frac{m}{l}(l - h)gh##.
Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##.
Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...