Thanks for pointing out that fact of the square being both inside and outside, I didn't realise that was what would be most likely causing the discontinuity until you pointed it out.
Also one last question if you don't mind me asking
I understand that when the square is inside the solenoid, the...
I see what you're getting at. I would assume in this case my calculations would be correct for when the square is completely outside and completely inside (or would I need to still consider the angle between the square area vector and the field lines when the square is outside). In that case I...
Area as in the area of which the magnetic field lines pass through, so for the ring inside the solenoid the field lines would pass through an area of pi*r^2 as all of the 'area' of the ring is inside the solenoid and thus in the magnetic field whereas when the ring radius is greater than the...
For each equation all variables are as follows:
L = side length of square
μ0 = permeability constant (4pi*10^-7)
n = number of turns per unit length of the solenoid
a = constant from the current formula I(solenoid) = I0 + at
cosθ = angle between the area vector of the square and of the solenoid...
Plot for the ring ^
Calculations for the Square ^
Plot for square without cosg on the outside calc ^
Plot for square with cosg on the outside calc ^
As can be seen the formulas for the square conductor do not connect at R, which I'm not sure if they should or if they should not as in this...
Hey, thanks for the reply and insight
I was just wondering when you explaining you're above statement would you mean something like this
where say for the top example if the magnet housing was 5 x 5cm (From memory I think it is) and I wanted to measure at a distance r = 7.5cm, I would move the...
Yeah I realised my mistake with the d and d' after posting this and fixed that, but thanks for the reply and confirmation on answers. I've also had a friend finish this question now and got the same answers so fingers crossed they're right
Yeah thats mostly the part that I was confused with, how it approached positive infinity even though its approaching a negative charge, however in writing this I think I figured it out. It approaches positive infinity because in this case I've described positive to be "up" along the z axis (So...
1. The problem statement, all variables, and given/known data
I was just wondering if a roller coaster can still pass through a loop with less than critical velocity/energy (Also if I'm assuming critical energy correctly). The loop can be of any size yet it must not exceed 5.7g at the entry...