Magnetic and Electric Fields problem

In summary, the conversation discusses the relationship between force gravity and magnetic force in Oersted's law. The goal is to calculate the required magnetic field and current needed to make a wire "float" in a specific distance from another wire.
  • #1
davidj
2
0
Homework Statement
A straight wire of linear mass density 150 g/m has a
current of 40.0 A (supplied by a flexible connection of
negligible mass). This wire lies parallel to, and on top
of, another straight horizontal wire on a table. What
current must the bottom wire have in order to repel
and support the top wire at a separation of 4.0 cm
Relevant Equations
fg = mg
fm = qvbsin(theta)
BIL = mg
Would i assume that fg = fm (force gravity holding straight wire down is equal to the magnetic force) and isolate for I?

Help if you're available please!
 
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  • #2
Are you familiar with Oersted's law?
 
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Likes davidj
  • #4
yes i am but how you mind explaining how its applicable in this situation
 
  • #5
davidj said:
yes i am but how you mind explaining how its applicable in this situation
The wire that is supposed to "float" is subjected to the magnetic field that comes from the wire that is lying on the table.

First, calculate what B is required for the wire with 40 A current to "float". Then you figure out what current is required in the cable lying on the table to produce this magnetic field at the desired distance.
 

FAQ: Magnetic and Electric Fields problem

What is the difference between electric fields and magnetic fields?

Electric fields are created by stationary charges and influence other charges within the field, exerting a force proportional to the charge and the strength of the field. Magnetic fields, on the other hand, are produced by moving charges (currents) and affect other moving charges or magnetic materials within the field. While electric fields are described by Coulomb's law, magnetic fields are described by Ampère's law and the Biot-Savart law.

How do electric and magnetic fields interact with each other?

Electric and magnetic fields are intrinsically linked through Maxwell's equations. A changing electric field can induce a magnetic field, and a changing magnetic field can induce an electric field. This interaction is the basis for electromagnetic waves, such as light, where oscillating electric and magnetic fields propagate through space.

What is the principle behind the right-hand rule in electromagnetism?

The right-hand rule is a mnemonic used to determine the direction of the magnetic field relative to the direction of the current. According to the right-hand rule, if you point the thumb of your right hand in the direction of the current, the curl of your fingers shows the direction of the magnetic field lines encircling the current. This rule helps visualize the orientation of fields in various electromagnetic applications.

How do you calculate the force on a charged particle moving in a magnetic field?

The force on a charged particle moving in a magnetic field is given by the Lorentz force law: F = q(v × B), where F is the force, q is the charge of the particle, v is the velocity of the particle, and B is the magnetic field. The direction of the force is perpendicular to both the velocity of the particle and the magnetic field, following the right-hand rule.

What are the practical applications of electric and magnetic fields?

Electric and magnetic fields have numerous practical applications. Electric fields are used in capacitors, electric circuits, and various sensors. Magnetic fields are employed in electric motors, transformers, magnetic resonance imaging (MRI), and data storage devices like hard drives. The interplay of electric and magnetic fields is also fundamental to the operation of wireless communication systems and electromagnetic wave propagation.

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