Finding turns per meter in a solenoid

AI Thread Summary
The discussion revolves around calculating the number of turns per meter in a solenoid used in MRI systems, given a magnetic field strength of 4.0 T and a current of 300 A. The initial approach involved using the formula B = N(4π x 10^-7)(I)/R, but the user realized this was incorrect. The correct method is to use the formula B = μ₀NI/L, where μ₀ is the permeability of free space, leading to the calculation of turns per meter. After correcting the approach, the user sought clarification on the proper application of the formula. The conversation emphasizes the importance of using the right equations in solving physics problems related to electromagnetism.
rosstheboss23
Messages
37
Reaction score
0

Homework Statement



The magnetic field produced by the solenoid in a magnetic resonance imaging (MRI) system designed for measurements on whole human bodies has a field strength of 4.0 T, and the current in the solenoid is 300 A. What is the number of turns per meter of length of the solenoid?

Note that the solenoid used to produce the magnetic field in this type of system has a length that is not very long compared to its diameter. Because of this and other design considerations, your answer will be only an approximation.


Homework Equations


I thought this equation would be especially useful to solve the solenoid(circular loop):
B= N(4pi times 10^-7)(I) Divided by R and 2
N= number of turns; R=length in meters; As I result I think N/R= number of turns per a meter. I could be wrong on this though.

The Attempt at a Solution


Trying at the solution I plugged in the respective values for B and I and got 42462.8 turns per meter. This answer is wrong though and I have no idea where I went wrong. Any suggestions to steer me the right way?
 
Physics news on Phys.org
I actually found out what I did wrong. Here is the appropriate way to approach this problem B=N(4pi times 10^-7)(I) Plug in I and B and N= turns per meter...
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

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...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Calculating magnetic field outside a solenoid
Replies
15
Views
1K
Understanding self-inductance in a solenoid.
Replies
3
Views
1K
Current in circular wire surrounding infinite solenoid in a circuit
Replies
7
Views
1K
Flux linked with circular coil vs solenoid
Replies
14
Views
1K
RLC circuit resonance experiment
Replies
10
Views
1K
Direction and magnitude of electric field produced by current change
Replies
8
Views
1K
Calculating Induced EMF in a Larger Solenoid Slipped Over Another Solenoid
Replies
5
Views
2K
{ help } Calculating the B-field at the center of a solenoid
Replies
1
Views
2K
Poynting theorem and electromagnetic density
Replies
7
Views
1K
How Is Magnetic Flux Calculated Through a Square Loop Inside a Solenoid?
Replies
4
Views
6K

Hot Threads

Recent Insights

Back
Top