Ejercicio Problem - Electric potential, work and electrosta… · Física II URV Juny 2022

Tema: Conductors in electrostatic equilibrium and capacitors · Del examen Juny (2022)

Enunciado

System setup

A point charge of −1 nC-1\text{ nC} is located at the center of a conductive spherical shell in electrostatic equilibrium, having inner radius r1=2 cmr_1 = 2\text{ cm} and outer radius r2=4 cmr_2 = 4\text{ cm}. The shell has a net charge of +3 nC+3\text{ nC}.

Assume the permittivity of vacuum to be ε0=9×10−12 C2/(N⋅m2)\varepsilon_0 = 9 \times 10^{-12}\text{ C}^2/(\text{N}\cdot\text{m}^2).

c.

The electric potential on both the internal and external surfaces of the shell.

d.

The electric field and electric potential at a distance of 5 cm5\text{ cm} from the central charge.

Enunciado: Ejercicio Problem - Electric potential, work and electrosta… · Física II URV Juny 2022

Solución

Según los criterios oficiales de corrección

c. The electric potential on both the internal and external surfaces of the shell.

Solución: 450450 V / 0.450.45 kV

d. The electric field at a distance of 5 cm from the central charge.

Solución: 72007200 V/m / 72007200 N/C / 7.27.2 kV/m

d. The electric potential at a distance of 5 cm from the central charge.

Solución: 360360 V / 0.360.36 kV

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