Calculating Current for .75T Solenoid (4300 turns, 38cm long)

  • Thread starter Thread starter matt72lsu
  • Start date Start date
  • Tags Tags
    Current
AI Thread Summary
To calculate the current needed for a solenoid that is 38 cm long with 4300 turns to produce a magnetic field of 0.75 T, the formula B = μ₀NI is used, where B is the magnetic field, μ₀ is the permeability of free space, N is the number of turns per unit length, and I is the current. The number of turns per unit length (N) is calculated by dividing the total number of turns (4300) by the length of the solenoid in meters (0.38). After determining N, the equation can be rearranged to solve for the current I. The user initially struggled with the conversion and application of the formula but clarified the relationship between total turns and turns per unit length. The discussion emphasizes the importance of correctly applying the formula to find the required current for the desired magnetic field strength.
matt72lsu
Messages
94
Reaction score
0

Homework Statement


You want to make a solenoid that is 38 cm long with 4300 turns. How much current should you run through the solenoid to produce a magnetic field of .75 T?


Homework Equations


B = uoNI


The Attempt at a Solution


I converted 38 cm to m (not sure where to use this number). i used the above equation but got it wrong. I have looked all in my textbook and can't find any other equation to use. help!
 
Physics news on Phys.org
In the equation N is the number of turns per unit length.
 
so N x .38?
 
matt72lsu said:
so N x .38?
No. Nx0.38 = total number of turns.
N = 4300/0.38
 
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 »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
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
Understanding self-inductance in a solenoid.
Replies
3
Views
1K
Calculating Induced EMF in a Larger Solenoid Slipped Over Another Solenoid
Replies
5
Views
2K
Why are the effects of a magnetized material neglected in this case?
Replies
5
Views
2K
Non-Uniform Magnetic Field Calculations
Replies
9
Views
2K
Calculating Current in a Wire Loop Inside and Outside a Solenoid
Replies
9
Views
6K
Calculating Magnetic Field Strength and Force of Eddy Currents in a Solenoid
Replies
49
Views
5K
Poynting theorem and electromagnetic density
Replies
7
Views
1K

Hot Threads

Recent Insights

Back
Top