Magnetic flux- is this the correct way to solve it?

AI Thread Summary
The discussion centers on calculating the force required to pull a rectangular wire loop into a magnetic field at a constant velocity. The loop has specific dimensions, mass, and resistance, and the magnetic field strength is given. The calculations involve determining magnetic flux, induced voltage, and the resulting current through the loop. The final formula derived for the force incorporates the loop's dimensions, magnetic field strength, and velocity. The solution appears correct based on the applied equations and principles of electromagnetism.
t123123
Messages
2
Reaction score
0

Homework Statement


As shown below, a rectangular wire loop of height 1.0 m, width 1.5 m, mass 0.10 kg, and resistance 10.0 Ω is pulled into a region of uniform magnetic field with magnitude 1.0 T pointing into the page (perpendicular to the plane of the loop). Determine the force necessary to pull the loop completely into the magnetic field region at a constant velocity of 5.0 m/s.

Homework Equations


magnetic flux=BA
inducedvoltage(V) =magnetic flux/dt
V=IR
F=qvB

The Attempt at a Solution


If magnetic flux is Z then
Z=BA
and V= Z/t = BA/ t
V=IR
IR=BA/t
Q/t *R =BA/t
then Q=BA/R
Q=1.0*(1.0*1.5)/10=.15C

F=.15C*5m/s*1.0T=0.75N
 
Physics news on Phys.org
t123123 said:
Determine the force necessary to pull the loop completely into the magnetic field region at a constant velocity of 5.0 m/s.
What is the emf induced in the loop when the wire is moving with a velocity of 5m/s? Use the motional emf equation.
What is the current through the loop?

Finally, what is the force acting on the wire due to this current?
 
Thank you! I think I figured it out.I needed to use F=ILB then F=V/RLB and F=dZ/dt/R*LB =BLv/R*LB which is L^2B^2V/R
 
t123123 said:
Thank you! I think I figured it out.I needed to use F=ILB then F=V/RLB and F=dZ/dt/R*LB =BLv/R*LB which is L^2B^2V/R
Looking good if you used L = side perpendicular to B and dZ/dt.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top