Find the surface charge density

AI Thread Summary
To find the surface charge density of a spherical metal satellite with a diameter of 1.3m and a charge of 2.4x10^-6 C, the surface area formula for a sphere, 4πr², is essential. The charge mentioned refers to the total charge, not the surface charge density. The surface charge density can be calculated using the formula: surface charge density = total charge / surface area. After clarifying the definitions, the original poster realized the correct approach to the problem. The discussion emphasizes understanding the relationship between charge and surface area for accurate calculations.
mr_coffee
Messages
1,613
Reaction score
1
Helllo everyone I'm stuck. A sphereical metal satelliete 1.3m in diameter accumulates 2.4x10^-6 C of charge in one orbital revolution. Find the resulting surface charge density. This is a simple plug in chug problem i think...I know the charge and radius but i can't finda formula that works. The closest one i found was: E = \delta/Eo; Any suggestions?
 
Physics news on Phys.org
You have the charge. All you need is the surface area. Look up the formula for the surface area of a sphere.
 
ohhh so charge here doesn't mean q enclosed, it means surface charge density? So i could use E = \delta/(2piEor)
 
mr_coffee said:
ohhh so charge here doesn't mean q enclosed, it means surface charge density?
Right. The problem (as you gave it) states: "Find the resulting surface charge density."

And the most direct way to calculate surface charge density is by its definition: [surface charge]/[surface area]. So... what's the surface area of a sphere?
 
Oh i think you misunderstood when i said, "ohhh so charge here doesn't mean q enclosed, it means surface charge density? " I was talking about, it said: "...accumulates 2.4x10^-6 C of charge in one orbital revolution." <---that charge is q not \delta right? The surface are of a sphere is 4PIr^2. E = \delta/(4PIr^2Eo) like that?
 
ahhh n/m I'm retarded, i didn't even read ur post cleary, thanks i got it with ur suggestion!
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top