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

[Dr. Science]

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

 

[Dr. Science]

any help or guidance would be greatly appreciated.

 

[lightgrav]

the magnet speed is essentially constant here, at 1 m/s .
(avg. accel = 1.2 m/s^2)

What do you mean by Ft ?

 

[Dr. Science]

the sum of the forces or total force

 

[lightgrav]

so , where is this current ... do we know its length?

what causes this current to flow?

 

[Dr. Science]

the magnetic field induces a current in the copper tube

 

[lightgrav]

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.

 

[Dr. Science]

i don't know

velocity of the copper?

 

[lightgrav]

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

 

[Dr. Science]

the magnetic field is pointing up

 

[Dr. Science]

what about the magnitudes of the current and magnetic field, what equations do i use?

 

[lightgrav]

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 .

 

[Dr. Science]

so i use F=qvB to find B? I don't know the charge either

 

[Dr. Science]

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

 

[lightgrav]

= 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