Two metal spheres, each 1.1 cm in radius, are far apart. One sphere carries 30 nC, the other -2

step 1 Hi, here in this given problem radius of each metal sphere that is r is equal to 1 .1 centimeter

Two metal spheres, each 1.1 cm in radius, are far apart....

Two metal spheres, each $1.1 \mathrm{~cm}$ in radius, are far apart. One sphere carries $30 \mathrm{nC}$, the other $-20 \mathrm{nC}$. (a) What's the potential on each? (b) If the spheres are connected by a thin wire, what will be the potential on each once equilibrium is reached? (c) How much charge moves between the spheres in order to achieve equilibrium?

Two metal spheres, each $1.1 \mathrm{~cm}$ in radius, are far apart. One sphere carries $30 \mathrm{nC}$, the other $-20 \mathrm{nC}$. (a) What's the potential on each? (b) If the spheres are connected by a thin wire, what will be the potential on each once equilibrium is reached?
(c) How much charge moves between the spheres in order to achieve equilibrium?

Key Concepts

Electric Potential of a Charged Conductor

This concept involves calculating the electric potential on the surface of a charged sphere. For a sphere far from other charges, the sphere behaves as if all its charge were concentrated at its center, and the potential is given by V = kQ/R, where k is Coulomb’s constant, Q is the charge, and R is the radius of the sphere.

Electrostatic Equilibrium and Equipotentiality

When conductors are connected by a wire, they reach an electrostatic equilibrium where the entire connected system becomes an equipotential. This means that even though charge may redistribute between conductors, the final electric potential on each conductor is the same.

Conservation of Charge

This principle states that the total charge in an isolated system remains constant over time. In the context of connecting charged spheres with a wire, the total charge before connection equals the total charge after connection, which is crucial in determining the final distribution of charge.

Charge Redistribution in Connected Conductors

When connecting two conductive bodies, charges will flow from one to the other until the potentials become equal. This process involves calculating the amount of charge movement necessary to achieve equilibrium, based on both the geometry of the conductors and their initial charges.

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