Magnet in copper tube lab calculations (Lenz's Law)

In summary: B.For the homework statement, a magnet that weighs 2.6 grams is dropped through a 1.53 metre tube. The average time taken for it to go through is 1.59 seconds.
  • #1
Dr. Science
31
0

Homework Statement


a magnet that weighs 2.6 grams is dropped through a 1.53 metre tube. the average time taken for it to go through is 1.59 seconds.

I need to find the strength of the magnetic field and the current

Homework Equations



Fg=mg
B=F/Ilsintheta

The Attempt at a Solution



Fg=0.025N[down]
Fsum=0.0031N[down]
Fm=0.023N[up]

I=?
B=?
l=1.53m
Fm=0.023N
 
Last edited:
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  • #2
any help or guidance would be greatly appreciated.
 
  • #3
the magnet speed is essentially constant here, at 1 m/s .
(avg. accel = 1.2 m/s^2)

What do you mean by Ft ?
 
  • #4
the sum of the forces or total force
 
  • #5
so , where is this current ... do we know its length?

what causes this current to flow?
 
  • #6
the magnetic field induces a current in the copper tube
 
  • #7
so do you think the length of the current is 2pi r , or 1.5 m ?

and we need the velocity of the copper , relative to the magnet.
 
  • #8
i don't know

velocity of the copper?
 
  • #9
the current travels AROUND the circumference of the tube ; L = 2 pi R .

velocity of the copper RELATIVE TO the magnet , is velocity of its electrons thru B.

What direction is the magnetic Field in the copper? DRAW IT
Force on the electrons = e v x B
 
  • #10
the magnetic field is pointing up
 
  • #11
what about the magnitudes of the current and magnetic field, what equations do i use?
 
  • #12
Magnetic Field caused by the bar magnet , within the copper tube,
has to point OUT through the copper ,
in order to intercept the charges and apply Force to them.

As seen by the bar magnet : the electrons in the copper were moving upward ,
when they got into the magnet's B-field and were deflected by horizontal Force.
in F = q v x B , F is perp. to v and is perp. to B .
 
  • #13
so i use F=qvB to find B? I don't know the charge either
 
  • #14
lightgrav said:
the magnet speed is essentially constant here, at 1 m/s .
(avg. accel = 1.2 m/s^2)

What do you mean by Ft ?

how did you find acceleration, i got a different value

What is the net force
 
  • #15
= ½ a t^2 , so a = 2x/t^2 , but that's an "average" acceleration.
at slow magnet speed, the electrons have very little Force applied to them,
so they make a very small current around the copper tube
and waste very little Power (as I^2 R in the tube as resistor, ).
So the magnet very quickly reaches "terminal velocity" stays at that speed,
where its grav.PE power = F v is dissipated in the tube's I^2 R = I V .
and grav. Force mg is canceled by I 2 pi r B

so use constant speed, about 1 m/s
 

Related to Magnet in copper tube lab calculations (Lenz's Law)

1. What is Lenz's Law?

Lenz's Law is a principle in electromagnetism that states that the direction of an induced current in a conductor will always be such that it opposes the change that produced it.

2. How does a magnet in a copper tube demonstrate Lenz's Law?

In this lab, a magnet is dropped into a copper tube, and the resulting movement of the magnet creates an electric current in the tube. This current creates a magnetic field that opposes the movement of the magnet, in accordance with Lenz's Law.

3. What factors affect the strength of the induced current in the copper tube?

The strength of the induced current is affected by the speed of the magnet's movement, the strength of the magnet, and the length and thickness of the copper tube.

4. How do you calculate the induced current in the copper tube?

The induced current can be calculated using Faraday's Law, which states that the magnitude of the induced current is equal to the rate of change of magnetic flux through the copper tube. This can be calculated using the formula V = -NΔΦ/Δt, where V is the induced voltage, N is the number of turns in the coil, ΔΦ is the change in magnetic flux, and Δt is the change in time.

5. What are some real-world applications of Lenz's Law?

Lenz's Law is used in many applications, including generators, transformers, and electric motors. It is also used in braking systems for trains and roller coasters, where the movement of a conductor through a magnetic field creates resistance and slows down the movement. Lenz's Law is also used in eddy current testing, a non-destructive testing method used to detect flaws or defects in metal objects.

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