Question

a charged belt, 50 cm wide, travels at 30 m/s between a source of charge and a belt carries charge into the sphere at a rate cor- responding to 100 ma. compute the surface charge density on the belt.

Answer 1

The surface charge density on the belt is found by dividing the current (0.1 A) by the product of the belt's velocity (30 m/s) and its width (0.5 m), resulting in a surface charge density of 0.00667 C/m².

Step-by-step explanation:

The question deals with computing the surface charge density on a belt that is part of an electrical setup. In this context, surface charge density is defined as the amount of charge per unit area on the surface of the belt.

To calculate the surface charge density (σ), we need to take the charge flow rate (current, I) and divide it by the velocity (v) of the belt and its width (w). The current given is 100 mA, which is equivalent to 0.1 A. The velocity of the belt is 30 m/s, and its width is 50 cm, which must be converted to meters (0.5 m).

So, the surface charge density is calculated as:
σ = I / (v * w) = 0.1 A / (30 m/s * 0.5 m)

After performing the calculation, we get:

σ = 0.1 A / 15 m2/s = 0.00667 C/m2

Therefore, the surface charge density on the belt is 0.00667 C/m2.