Charge is placed on two conducting spheres that are very far apart and connected

Question

Charge is placed on two conducting spheres that are very far apart and connected by a long thin wire. The radius of the smaller sphere is 5 cm and that of the larger sphere is 12 cm. The electric field at the surface of the larger sphere is 510 kV/m. Find the surface charge density on each sphere.

Charge is placed on two conducting spheres that are very far apart and connected by a long thin wire. The radius of the smaller sphere is 5 cm and that of the larger sphere is 12 cm. The electric field at the surface of the larger sphere is 510 kV/m. Find the surface charge density on each sphere. sigma 12 = Mu C/m^2 sigma 5 = Mu C/m^2

Explanation / Answer

he two spheres are at the same potential (voltage) because they are connected by the wire. this means V = kq/r =kQ/R therefore q/r =Q/R for each sphere now since from Gauss' Law E A = sigma/epsilon_o you can determine sigma (surface charge density) for the large sphere and then use the first equation to determine Q and siqma for the small sphere

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