The voltage of a charged conducting sphere remains constant throughout its interior and at its surface due to the electric field being zero inside the sphere. While the electric field exists on the surface, the potential does not change significantly as one approaches the surface, as any change in voltage is infinitesimal. To understand the relationship between electric field and voltage, one must integrate the electric field (E) to derive the voltage (V). This concept can be illustrated using a step function to demonstrate the area under the curve, emphasizing the continuity of potential despite changes in electric field.
PREREQUISITESStudents of physics, electrical engineers, and anyone interested in understanding electrostatics and the behavior of electric fields and potentials in charged conductors.
maccha said:I've recently learned that the voltage of a charged conduction sphere remains constant inside the sphere all the way to the surface, as the electric field inside is zero. What I don't understand is how the voltage can be the same on the surface as it is inside- since there is an electric field on the surface, wouldn't the potential change?