How to Calculate Current in a Solenoid with Given Field and Dimensions?

  • Thread starter Thread starter PeachBanana
  • Start date Start date
  • Tags Tags
    Current Solenoid
AI Thread Summary
To calculate the current in a solenoid producing a magnetic field of 0.215 T, the relevant formula is B = μIN / l, where B is the magnetic field, μ is the permeability of free space, I is the current, N is the number of turns, and l is the length of the solenoid. Given a solenoid length of 0.27 m, a diameter of 1.25 cm, and 900 turns, the diameter is not necessary for the calculation of current. The confusion arises from the inclusion of the diameter, which does not affect the magnetic field at the center. Ultimately, the key focus is on using the length and number of turns to determine the required current. Understanding the parameters correctly is essential for solving the problem accurately.
PeachBanana
Messages
189
Reaction score
0

Homework Statement



A 27.0-cm long solenoid 1.25 cm in diameter is to produce a field of 0.215 T at its center. How much current should the solenoid carry if it has 900 turns of the wire?

Homework Equations



B = μIN / l

The Attempt at a Solution



Why am I given the diameter plus the length? Everything else is obvious except this concept. I thought l would equal = 0.27 m. Should I add 0.625 + 0.27 m because the magnetic field is produced at the center?
 
Physics news on Phys.org
you don't need the diameter at all for this problem ;)
 
Aha! Extra information! Thank you.
 

Thread 'Errors and significant figures'

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...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

Calculating magnetic field outside a solenoid
Replies
15
Views
1K
Current in circular wire surrounding infinite solenoid in a circuit
Replies
7
Views
1K
{ help } Calculating the B-field at the center of a solenoid
Replies
1
Views
2K
Non-Uniform Magnetic Field Calculations
Replies
9
Views
2K
Calculating Induced EMF in a Larger Solenoid Slipped Over Another Solenoid
Replies
5
Views
2K
Direction and magnitude of electric field produced by current change
Replies
8
Views
984
Calculating Current in a Wire Loop Inside and Outside a Solenoid
Replies
9
Views
6K
Calculting the length of a solenoid
Replies
7
Views
10K
Calculating Magnetic Field Strength and Force of Eddy Currents in a Solenoid
Replies
49
Views
5K
Solenoid with current carrying wire inside
Replies
3
Views
3K

Hot Threads

Recent Insights

Back
Top