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You're working with the cross product ##\vec{ds} \times \hat r##. How is the angle between ##\vec{ds}## and ##\hat r## related to the angle ##\theta## shown in diagram ##a##?Callumnc1 said:
Thank you @TSny ! I see how they got theta now. :) If we call the angle between ds and r hat as theta 2, then from the definition of the cross product:TSny said:
A magnetic field surrounding a straight conductor is an area of space where a magnetic force can be detected. It is created by the flow of electric current through a conductor, such as a wire.
The strength of a magnetic field surrounding a straight conductor is determined by the amount of current flowing through the conductor, the distance from the conductor, and the material of the conductor.
The direction of a magnetic field surrounding a straight conductor is determined by the direction of the current flow. The field forms concentric circles around the conductor, with the direction of the field being counterclockwise when viewed from the direction of the current flow.
The strength of the magnetic field surrounding a straight conductor decreases as the distance from the conductor increases. This is because the magnetic field spreads out as it moves away from the conductor, resulting in a weaker field at a greater distance.
Yes, the direction of a magnetic field surrounding a straight conductor can be changed by reversing the direction of the current flow through the conductor. This will result in the concentric circles of the field being oriented in the opposite direction.
