En una mesa no conductora se coloca un semianillo de radio 10 cm cargado uniformemente. Se encu

step 1 We look at the equation for a potential of a charged ring. And so that is v is equal to K, the c

En una mesa no conductora se coloca un semianillo de radio...

En una mesa no conductora se coloca un semianillo de radio $10 \mathrm{~cm}$ cargado uniformemente. Se encuentra que a $3,0 \mathrm{~cm}$ por encima del centro del semianillo el potencial es de $-3,0 \mathrm{~V}$ con respecto al potencial cero en el infinito. ¿Cuánta carga hay en el semianillo?

Key Concepts

Reference Potential at Infinity

Setting the electric potential to zero at infinity is a common boundary condition in electrostatics. This convention simplifies calculations and provides a consistent reference point for measuring potential differences in systems where charges are localized.

Electric Potential

Electric potential is a scalar quantity representing the work done per unit charge in bringing a test charge from a reference point (commonly infinity) to a specific location in an electric field. It is fundamental in electrostatics and is determined by integrating contributions from all charges in the system, making it especially useful when dealing with continuous charge distributions.

Continuous Charge Distribution

A continuous charge distribution involves charges spread over a region of space, such as along a line, surface, or volume. When dealing with such distributions, the total potential at any point is obtained by summing the contributions from infinitesimal elements of charge, considering both their magnitude and position relative to the point of interest.

Integration of Differential Contributions

In electrostatics, the potential due to a continuous charge distribution is computed by integrating the elemental contributions of charge (dQ) across the distribution. Each differential element contributes an amount proportional to its charge and inversely proportional to the distance from the point where the potential is being calculated, as given by Coulomb's law.

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