Question

Two conducting spheres with diameters of $0.400 \mathrm{~m}$ and $1.00 \mathrm{~m}$ are separated by a distance that is large compared with the diameters. The spheres are connected by a thin wire and are charged to $7.00 \mu \mathrm{C} .$ (a) How is this total charge shared between the spheres? (Neglect any charge on the wire.) (b) What is the potential of the system of spheres when the reference potential is taken to be $V=0$ at $r=\infty ?$

Name: Two conducting spheres with diameters of 0.400 m and 1.00 m are separated by a distance that is large compared with the diameters. The spheres are connected by a thin wire and are charged to 7.00 μC . (a) How is this total charge shared between the spheres? (Neglect any charge on the wire.) (b) What is the potential of the system of spheres when the reference potential is taken to be V=0 at r=∞ ?
Uploaded: 2023-05-26T07:59:23-08:00
Duration: 1 min 33 s
Channel: Madhur L

          Two conducting spheres with diameters of $0.400 \mathrm{~m}$ and $1.00 \mathrm{~m}$ are separated by a distance that is large compared with the diameters. The spheres are connected by a thin wire and are charged to $7.00 \mu \mathrm{C} .$ (a) How is this total charge shared between the spheres? (Neglect any charge on the wire.) (b) What is the potential of the system of spheres when the reference potential is taken to be $V=0$ at $r=\infty ?$

Added by Dominique W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

05/26/2023

Step 1

The capacitance of a sphere is given by the formula $C = 4\pi\epsilon_0R$, where $R$ is the radius of the sphere and $\epsilon_0$ is the vacuum permittivity ($\epsilon_0 \approx 8.85 \times 10^{-12} \mathrm{F/m}$). For the sphere with diameter $0.400 Show more…

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Two conducting spheres with diameters of $0.400 \mathrm{~m}$ and $1.00 \mathrm{~m}$ are separated by a distance that is large compared with the diameters. The spheres are connected by a thin wire and are charged to $7.00 \mu \mathrm{C} .$ (a) How is this total charge shared between the spheres? (Neglect any charge on the wire.) (b) What is the potential of the system of spheres when the reference potential is taken to be $V=0$ at $r=\infty ?$