A charged belt, 50 cm wide, travels at 30 m/s between a source ofcharge and a sphere. The belt carries charge into the sphereat a rate corresponding to 100 (micro)amperes. Compute thesurface charge density on the belt.
ka1leE
Answered question
2021-03-30
Answer & Explanation
Alix Ortiz
Skilled2021-04-01Added 109 answers
Imagine the belt travelling toward the sphere while carrying a charge. It carries to the sphere 100 microamps, or amps = coulombs per second.
30 meters of belt reach the sphere per second. As a result, a portion of the belt that is 50 cm broad and 30 meters long passes the sphere every second. And this area must have the coulomb on it! The speediest approach to take is that. Imagine the belt's actions every second and the amount of charge that is present.
The technical way: current = charge / time
surf density = = charge/ area
Area = width*length
so: = charge/width*length or charge = *width*length
and: current = *width*length / time butlength / time is the speed of the belt so:
current = *width*speed and = current /width*speed
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