Physics · Electrostatic Potential
Englishत्रिज्या \( R \) के एक खोखले चालक गोलीय खोल की सतह पर कुल आवेश \( q \) एकसमान रूप से वितरित है। केंद्र से \( r \) दूरी पर, जहाँ \( r < R \) है, विद्युत विभव कितना होगा?
सही उत्तर · विकल्प 2
\( \frac{1}{4\pi\varepsilon_0} \frac{q}{R} \)
व्याख्या
Inside a hollow conducting spherical shell, the electric field \( E \) is zero everywhere (\( E = 0 \)) because charges reside only on the outer surface of a conductor in electrostatic equilibrium. Since the electric field is related to electric potential by \( E = -\frac{dV}{dr} \), a zero electric field implies that the electric potential remains constant throughout the interior region and is equal to the potential at the surface. Therefore, for any point where \( r < R \), the electric potential is given by \( V = \frac{1}{4\pi\varepsilon_0} \frac{q}{R} \).