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Electric potential: The discussion revolves around calculating the electric
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The discussion revolves around calculating the electric potential inside an insulating sphere using Gauss' Law. The user initially misapplied the dot product in the integral for electric potential , leading to an incorrect conclusion that potential increases as one moves away from the charged sphere. After clarification, it was determined that reversing the integration direction resolves the sign issue, aligning the calculations with the expected result that potential decreases as one moves ... The basic difference between electric potential and electric potential energy is that Electric potential at a point in an electric field is the amount of work done to bring the unit positive charge from infinity to that point, while electric potential energy is the energy that is needed to move a charge against the electric field. The discussion revolves around calculating the electric potential at the center of a circular arc formed by an insulating rod with a uniform charge distribution. The key steps involve defining the linear charge density (λ) and integrating over the angle subtended by the arc. The integration limits are confirmed to be from -theta/2 to +theta/2, and the resulting potential formula simplifies to V = Q/ (4 Π Ε0 R), indicating that the potential is independent of the angle theta. The ... And no, that has nothing to do with the potential being zero. Potentials are always relative to an arbitrary zero, e.g. gravitational potential relative to ground level. In electrostatics, points at infinity are often taken to be at zero potential , but that is just a convention. The field is the gradient of the potential .
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