Shyan said:try [itex] vB=mg [/itex]!
astru025 said:Homework Statement
A particle with charge q = 4.00 10-6 C and mass m = 1.30 10-4 kg is moving parallel to the Earth's surface at a speed of 1000 m/s. What minimum strength of magnetic field would be required to balance the gravitational force on the particle?
Homework Equations
Not sure where to begin... Any help would be really nice! Thanks.
The Attempt at a Solution
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Curious3141 said:This is not even dimensionally consistent. Perhaps you ment ##Bqv = mg##. But as a general rule, I've found that just throwing equations at the OP before it's clear he/she understands the underlying concepts is a bad idea.
Shyan said:Yeah sorry,I forgot the q.
But if s\he's given a problem like that,it means s\he was given the equation and its meaning before!
The concept of "strength of magnetic field required to balance gravitational force" refers to the amount of magnetic force needed to counteract the force of gravity acting on an object. This is often studied in the context of magnetic levitation, where an object is suspended in mid-air by balancing the magnetic and gravitational forces.
The strength of magnetic field required to balance gravitational force is calculated using the equation Fm = Fg, where Fm is the magnetic force and Fg is the gravitational force. The magnetic force can be calculated using the equation Fm = BIL, where B is the magnetic field strength, I is the current, and L is the length of the wire. By setting Fm equal to Fg, the required magnetic field strength can be determined.
The strength of magnetic field required to balance gravitational force is affected by several factors, including the mass of the object, the strength of the gravitational field, the distance between the object and the magnetic field source, and the strength of the magnetic field itself. Additionally, the orientation and shape of the object can also impact the required magnetic field strength.
The concept of balancing magnetic and gravitational forces is used in various real-life applications, such as magnetic levitation trains, magnetic bearings in machinery, and levitating objects in research settings. It is also used in experiments to study the effects of gravity on objects and to demonstrate principles of electromagnetism.
Yes, the strength of magnetic field required to balance gravitational force can be greater than the Earth's magnetic field. This is because the strength of a magnetic field can vary depending on the source and the object being levitated. In some cases, a much stronger magnetic field is needed to balance the gravitational force acting on an object.