Magnitude of magnetic flux of a solenoid using Biot-Savart law

AI Thread Summary
The discussion focuses on calculating the magnetic flux at the center of a solenoid using the Biot-Savart law, given specific parameters such as length, diameter, and varying current. Participants emphasize the importance of understanding the variables in the equation, particularly identifying the angles and distances involved. Suggestions include drawing diagrams to visualize the problem and applying trigonometry for clarity. There is a recognition that the topic may be challenging for first-year students who have not yet covered it in lectures. Overall, the conversation highlights the need for a solid grasp of the underlying physics principles to solve the problem effectively.
MorrowUoN
Messages
8
Reaction score
0

Homework Statement



A 10 cm long, 1 cm diameter solenoid contains 500 turns of wire. A current that varies as I = 5Sin(100πt) Amps flows through the solenoid wire. Calculate the magnitude of the magnetic flux at the centre of the solenoid as a function of time using equation (1). Compare this with the value for an infinitely long solenoid.


Homework Equations



B = ((μ0*I*n)/2)(sin∅2-sin∅1) (1)

The Attempt at a Solution



Having trouble attempting since this is lab homework and we are yet to cover this material in lectures. Also, sorry if this isn't considered advanced physics by this forums standards however, this is a first year 'Advanced Physics' class.
 
Physics news on Phys.org
MorrowUoN said:

Homework Statement



A 10 cm long, 1 cm diameter solenoid contains 500 turns of wire. A current that varies as I = 5Sin(100πt) Amps flows through the solenoid wire. Calculate the magnitude of the magnetic flux at the centre of the solenoid as a function of time using equation (1). Compare this with the value for an infinitely long solenoid.


Homework Equations



B = ((μ0*I*n)/2)(sin∅2-sin∅1) (1)

The Attempt at a Solution



Having trouble attempting since this is lab homework and we are yet to cover this material in lectures. Also, sorry if this isn't considered advanced physics by this forums standards however, this is a first year 'Advanced Physics' class.

Hi MorrowUoN, welcome to PF! :smile:

I suggest you start by drawing a picture (almost always a good idea when you are stuck)... what are ∅1 and ∅2 when your field point (the point you are calculating the magnetic flux at) is at the centre of the solenoid?
 
The notes have this formula for calculating the sin and cos term however, I am not sure which details are x, R and l from the question. I guess it doesn't hurt to hazard a guess, would l be the length, R the radius (with diameter given in this case) and x be the distance of point P from the centre, making x = 0 in this case?

Thanks for your reply :)
 

Attachments

  • 33f3be99c2b161f7f1320f075ba774d6.png
    33f3be99c2b161f7f1320f075ba774d6.png
    3.3 KB · Views: 526
MorrowUoN said:
The notes have this formula for calculating the sin and cos term however, I am not sure which details are x, R and l from the question. I guess it doesn't hurt to hazard a guess, would l be the length, R the radius (with diameter given in this case) and x be the distance of point P from the centre, making x = 0 in this case?

Thanks for your reply :)

Seems like a reasonable guess to me, but math and physics is not really about guessing :wink:. To be sure, I again recommend that you draw a picture and label the relevant distances and angles. A little bit of trigonometry will give you your answer.
 
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
Force Between 2 Coaxial Current-Carrying Loops
Replies
4
Views
1K
Current in circular wire surrounding infinite solenoid in a circuit
Replies
7
Views
1K
Magnetic field at origin due to infinite wires and semicircular turn
Replies
3
Views
2K
Can the Magnetic Field Be Determined Using Biot-Savart Law Superposition?
Replies
2
Views
948
Biot-Savart's Law for cylindrical conductor
Replies
18
Views
5K
What is the last step in the derivation of the Biot Savart Law?
Replies
3
Views
4K
Can the Biot-Savart Law be applied to point P_1 outside a finite wire?
Replies
3
Views
3K
How Does Biot-Savart Law Calculate Magnetic Field at Point P?
Replies
7
Views
5K
Why Is Magnetic Flux Calculated Using the Solenoid's Area Instead of the Loop's?
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top