Question

A very long insulating cylinder of charge of radius 2.90 cm c m carries a uniform linear density of 17.0 nC/m n C / m If you put one probe of a voltmeter at the surface, how far from the surface must the other probe be placed so that the voltmeter reads 195 V V ?

Answer 1

To find the distance from the surface where the voltmeter reads 195 V, use the formula for the electric field inside a cylinder and equate it with the given linear charge density. The other probe must be placed approximately 0.785 m from the surface of the cylinder.

Step-by-step explanation:

To find the distance from the surface where the voltmeter reads 195 V, we can use the formula for the electric field inside a cylinder:

E = V / r

where E is the electric field, V is the potential difference, and r is the distance from the center of the cylinder.

Since we are given the linear charge density, we can also find the electric field inside a charged cylinder:

E = k * λ

where E is the electric field, k is the electrostatic constant, and λ is the linear charge density. By equating the two equations, we can solve for r.

Let's substitute the values given in the question:

8.99e9 * 17e-9 = 195 / r

Solving for r, we get:

r = 8.99e9 * 17e-9 / 195

Therefore, the other probe must be placed approximately 0.785 m from the surface of the cylinder.