Calculating Net Charge on a Metal Sphere with Added Electrons

AI Thread Summary
The net charge on a metal sphere initially charged at +6 µC is calculated after adding 1 x 10^14 electrons. Each electron has a charge of -1.6 x 10^-19 C, resulting in a total negative charge of -1.6 x 10^-5 C from the electrons. The initial charge of +6 µC converts correctly to +6 x 10^-6 C. Adding the charges gives a net charge of 2.2 x 10^-5 C, which is incorrect due to a miscalculation in converting the initial charge. The correct conversion maintains the +6 µC as +6 x 10^-6 C without changing the digits.
osulongboard
Messages
4
Reaction score
0

Homework Statement


A Metal sphere has a charge of +6uC. What is the net charge after 1*10^14 electrons have been placed on it?



Homework Equations


Single Electron - -1.6*10^-19


The Attempt at a Solution



1st. Convert +6uC to 1.6*10^-6 (is this right?)
2nd. (-1.6*10^-19)(1*10^14)=1.6*10^-5
3rd. (6*10^-6)+(1.6*10^-5)= 2.2*10^-5 (?)


I don't think this is a very hard problem but i want to make sure I am doing the basics right. Thanks in Advance!
 
Physics news on Phys.org
osulongboard said:
1st. Convert +6uC to 1.6*10^-6 (is this right?)

No. Changing "micro" to 10^-6 is like moving a decimal point, without changing the digits. You can't change the 6 to a 1.6
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top