The magnetic force and current

In summary, a 0.45 m long, 0.080 kg thin rod attached to a hinge at point P is placed in a uniform magnetic field of 0.25 T. The rod has a current of 3.8 A and does not rotate. Using the equations F = ILB sin(theta) and F = ma, the angle theta is found to be 33.0 degrees. However, after further consideration and drawing a force diagram, it is determined that the magnetic and gravitational forces do not act in the same direction, and the theta in the B equation is not the same as the theta in the force diagram. After making these corrections, the correct value for theta is found.
  • #1
Dart82
57
0
1. Homework Statement
a thin, uniform rod, which has a length of 0.45 m and a mass of 0.080 kg. This rod lies in the plane of the paper and is attached to the floor by a hinge at point P. A uniform magnetic field of 0.25 T is directed perpendicularly into the plane of the paper. There is a current I = 3.8 A in the rod, which does not rotate clockwise or counter-clockwise. Find the angle .
21_35.gif




2. Homework Equations
F = ILB sin(theta)
F= ma


3. The Attempt at a Solution
heres what i was thinking:
if F = ILB sin(theta) then let ma = ILBsin(theta)

so solve for theta:
arcsine(ILB/ma) = 33.0 degrees however, i was told this is wrong.
 
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  • #2
Do the magnetic and gravitational forces act in the same direction? Hint: no. Draw a force diagram.
 
  • #3
Also, is the theta in your picture the same as the theta in the B equation? Hint: no.
 
  • #4
thanks for the help. i think it got it finally.
 

Related to The magnetic force and current

1. What is the relationship between magnetic force and current?

The magnetic force is directly proportional to the current and the strength of the magnetic field. This means that as the current increases, the magnetic force also increases.

2. How does current impact the strength of a magnetic field?

The strength of a magnetic field is directly proportional to the current. This means that as the current increases, the strength of the magnetic field also increases.

3. How can magnetic force be calculated?

Magnetic force can be calculated using the equation F = qvBsinθ, where q is the charge of the particle, v is the velocity, B is the strength of the magnetic field, and θ is the angle between the velocity and the magnetic field.

4. Can magnetic force be manipulated?

Yes, magnetic force can be manipulated by changing the strength or direction of the magnetic field. This can be done using magnets or by altering the current in an electric circuit.

5. What is the use of magnetic force in everyday life?

Magnetic force has many practical applications in everyday life, such as in motors, generators, and speakers. It is also used in medical equipment, such as MRI machines, and in credit and debit cards for data storage.

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