Electric potential along the x-axis

AI Thread Summary
The electric potential along the x-axis is given by V=100e^(−2x/m). To find the electric field Ex at specific points, the derivative of V was calculated, resulting in Ex = (-200/m)e^(-2x/m). The variable m was initially unclear, but it was assumed to be 1, leading to correct values for Ex at x=1.0m and x=2.1m. It was clarified that m likely represents units of meters, with the exponential's coefficient having units of 1/m. Understanding m helps in interpreting the electric potential function correctly.
chicagobears34
Messages
37
Reaction score
0

Homework Statement


The electric potential along the x-axis is V=100e^(−2x/m), where x is in meters.
Find Ex at x=1.0m and Ex at x=2.1m

Homework Equations


V=Ed
Ex = dV/dx (?)

The Attempt at a Solution


I took the derivative of V and got (-200/m)e^(-2x/m)
I don't know what m is and I'm just not sure how I can get an integer value for Ex at x=1.0m and 2.1m
EDIT===
I assumed m=1 and got the correct answer, don't understand what m is though
 
Physics news on Phys.org
m might just represent units of meter. So the 2 in the exponential has units of 1/m and they decided to show that explicitly.
 
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