An infinitely long insulating cylinder has radius a and volume charge density ρ. This cylinder is surrounded by a neutral conducting cylindrical shell which is also infinitely long. The inner radius of the shell is b1 and the outer radius is b2. For this problem, we will set the electric potential equal to zero along the outer surface of the conducting shell, along the radius of b2. 1) What is the electric potential a radial distance of 10 cm from the center of the cylinders? 2)What is the electric potential at a radius of 7 cm? 3)What is the electric potential at the center of the non-conducting cylinder? 4)When working with spherical symmetries, we tend to use infinity as the reference point where the potential is zero. Why could we not choose infinity as the zero of potential in this particular problem?
An infinitely long insulating cylinder has radius a and volume charge density ρ. This cylinder is surrounded by a neutral conducting cylindrical shell which is also infinitely long. The inner radius of the shell is b1 and the outer radius is b2. For this problem, we will set the electric potential equal to zero along the outer surface of the conducting shell, along the radius of b2.
1) What is the electric potential a radial distance of 10 cm from the center of the cylinders?
2)What is the electric potential at a radius of 7 cm?
3)What is the electric potential at the center of the non-conducting cylinder?
4)When working with spherical symmetries, we tend to use infinity as the reference point where the potential is zero. Why could we not choose infinity as the zero of potential in this particular problem?
given in question that outer surface of conducting shell is at zero potential. and from the property of a conductor we know that potential at each point on a conductor is same. therefore inner surface will also be at zero potential.
at r=10cm
electric field due to infinite solid cylinder at a distance r(outside) from center
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