Constant Current and Magnetic Field: How Will the Metal Rod Move?

In summary, the problem involves a metal rod with a constant current of 5 Amp sliding on frictionless rails. A magnetic field of 0.75 T is directed into the page and the initial speed of the rod is 5 m/s. The task is to find the speed of the rod after 2.5 seconds and the distance it travels before coming to a stop. To solve this problem, a differential equation is constructed through Newton's second law and the formulas for velocity and displacement as functions of time are used.
  • #1
rmor'e
1
0

Homework Statement



A constant current of 5 Amp flows through a metal rod of length 0.25 m long and mass m = 0.60 kg slides on frictionaless rails. A uniform magnetic field of 0.75 T is directed into the page. If the initial speed of the rod is v = 5 m/s, then (a) what is the speed of the rod 2.5 seconds later, and (b) how far does it move before coming to a stop.



Homework Equations



F=ILB

The Attempt at a Solution

 
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  • #2
Welcome to PF, Rmor'e.
The question isn't entirely clear - we aren't told the orientation of the rod or the direction of the current in it. Is there a diagram with the question? There should be!

Anyway, go ahead and use your formula to find the force. We can't give you much help until we see your attempt.
 
  • #3
Simply construct a differential equation through N2 and solve for v and x as a function of t.
 

Related to Constant Current and Magnetic Field: How Will the Metal Rod Move?

1. What is a magnetic field problem?

A magnetic field problem refers to any issue or challenge that arises in the study or application of magnetic fields. This can include understanding the behavior of magnetic materials, designing systems that utilize magnetic fields, or troubleshooting problems with existing magnetic field systems.

2. How do magnetic fields work?

Magnetic fields are created by moving electric charges, such as electrons. These fields exert a force on other magnetic materials, causing them to either attract or repel each other. The strength and direction of a magnetic field can be manipulated by controlling the amount and direction of the electric current that produces it.

3. What are some real-world applications of magnetic fields?

Magnetic fields have a wide range of practical applications, including in generators and motors, medical imaging technology (such as MRI machines), particle accelerators, and magnetic levitation trains. They are also used in data storage devices, such as hard drives, and in compasses for navigation.

4. How are magnetic fields measured?

Magnetic fields can be measured using a device called a magnetometer, which detects the strength and direction of the field. There are also various techniques for mapping out the shape and strength of magnetic fields, such as using a compass or a Hall effect sensor.

5. What are some common problems encountered when working with magnetic fields?

Some common problems with magnetic fields include interference from external magnetic fields, which can affect the accuracy of measurements or disrupt the functioning of devices that use them. Other challenges can arise when trying to contain or direct a magnetic field, as they can be difficult to manipulate and control precisely.

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