Calculating the Number of loops in the solenoid

  • Thread starter Thread starter spideykid7
  • Start date Start date
  • Tags Tags
    Loops Solenoid
Click For Summary
The discussion centers on calculating the number of loops in a solenoid using the magnetic field formula B=((μ0 x n)/(2πr)) i, where key variables include the magnetic constant, radius, and current. A participant challenges the correctness of the provided equation, asserting that the magnetic field inside a solenoid is constant and independent of radius, suggesting the correct formula is B=μ0 n I, where n represents turns per unit length. The need for clarification on how to determine the slope of the line from the given equation y=0.0054x + 0.0004 is also highlighted. The urgency of the request for help indicates a critical need for accurate calculations in the context of the problem. Overall, the discussion emphasizes the importance of using the correct formulas and understanding their implications in solenoid calculations.
spideykid7
Messages
2
Reaction score
0

Homework Statement



The mathematical formula that connects the magnetic field in a solenoid with the current is given by B=((μ0 x n)/(2πr)) i

where μ0 = 4∏ x 10^-7 NA^-2 is the 'magnetic constant', n is the number of turns or loops of wire (unknown), r is the radius of the solenoid (0.023m), and i is the solenoid current.

Use the slop of your line to approximate the number of turns or loops in the solenoid.

the equation of the line is: y=0.0054x + 0.0004

Solenoid Current Values:
1. 3.0A
2. 2.5A
3. 2.0A
4. 1.5A
5. 1.0A
6. 0.8A

B Values (numbers match up with Solenoid Current)
1. 1.60 x 10^-2
2. 1.40 x 10^-2
3. 1.20 x 10^-2
4. 0.85 x 10^-2
5. 0.58 x 10^-2
6. 0.43 x 10^-2

URGENTLY NEED HELP! PLEEEAASSEE!
 
Physics news on Phys.org
You equation for your B field inside your solenoid does not seem correct.
The field inside a solenoid is constant and does not depend on the radius.
B= \mu_0 n I where n is turns per length. unless you are talking about a toroid.
And also how would you figure out the slope of the line.
 
Last edited:
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 15 ·
Replies
15
Views
1K
Replies
9
Views
6K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
6K
Replies
4
Views
6K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 10 ·
Replies
10
Views
3K
Replies
11
Views
3K
  • · Replies 7 ·
Replies
7
Views
6K