Suppose a wire carries a current from east to west along the...

Name: Problem 3, Chapter 16: Basic Physics: A Self-Teaching Guide
Uploaded: 2021-11-13T15:09:04-08:00
Duration: 3 min 47 s
Channel: Vishal Gupta
Description: Suppose a wire carries a current from east to west along the equator, where the magnetic field is from south to north (geographic directions-recall that the magnetic poles are near the "wrong" geographic poles). What is the direction of the force on the wire?

Suppose a wire carries a current from east to west along the equator, where the magnetic field is from south to north (geographic directions-recall that the magnetic poles are near the "wrong" geographic poles). What is the direction of the force on the wire?

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Key Concepts

Cross Product

The cross product is a mathematical operation on two vectors that yields a third vector perpendicular to the plane in which the original vectors lie. This operation is key to determining the magnetic force direction on a current-carrying conductor when it interacts with a magnetic field.

Right-Hand Rule

The right-hand rule is a mnemonic used to determine the direction of the resultant vector in a cross product operation, such as in calculating the magnetic force. By aligning the thumb, forefinger, and middle finger appropriately, one can easily determine the direction of the force on a current-carrying wire.

Magnetic Force on Current-Carrying Wires

A current-carrying wire in a magnetic field experiences a force given by the cross product F = I(L × B), where I is the current, L is the direction vector of the current element, and B is the magnetic field. This concept is essential for understanding the behavior of electrical conductors in magnetic fields.

Lorentz Force

The Lorentz force is the fundamental force exerted on a charged particle or a current-carrying conductor when it is placed in a magnetic field. It is central to electromagnetism and explains how moving charges interact with magnetic fields.

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