Find number of turns in the solenoid

[jackxxny]

Homework Statement

I have the following information about the problem.

i have the speed of an electron = v
the diameter of a circular path = d
the length of a solenoid = x
the current that the solenoid carried = I

I need to find the number of turns in the solenoid.

Homework Equations

i used the following equations
QvB=v²m/r

B=$$\mu$$NI/l

The Attempt at a Solution

then i put "B" in the first equation and i solve for N. Is that correct?

 

[rock.freak667]

Yes, do that.

 

[jackxxny]

the only weird thing is that i get a number like

.121

and it is not a turn .121? or it can be a valid answer?

 

[rock.freak667]

the only weird thing is that i get a number like

.121

and it is not a turn .121? or it can be a valid answer?

no, you can't really get less than one. Post the numbers and your working and we'll see if you went wrong anywhere.

 

[jackxxny]

v=1570 m/s
d = 1.57 cm
x = 35 cm
I = 2.61 A
what I did is :
N=(vmx)/(rQI*4*pi*10^-7)

 

[rock.freak667]

I get the same answer as you, so I guess you'll need to put what you get and round up and put N=1

 

[jackxxny]

the problem really states...

...that the electron follows a circular path of diameter 1.57 cm near the center of an evacuated solenoid of length 35 cm .

does that changes anything?