A long straight horizontal wire carries a current I = 2.10 A to the left. A positive 1.00 C charge moves to the right at a distance 4.50 m above the wire at constant speed v = 2250 m/s. What are the magnitude and the direction of the magnetic force on the charge?
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1. Select the source(s) responsible for the magnetic field that exerts a force on the moving charge?
a. the charge
b. the current-carrying wire
c. the charge and the current-carrying wire.
B: The current-carrying wire produces a magnetic field at the location of the charge. This magnetic field exerts a force on the charge.
The source responsible for the magnetic field that exerts a force on the moving charge in this scenario is the current-carrying wire (b).
To determine the source(s) responsible for the magnetic field that exerts a force on the moving charge, we need to apply the right-hand rule for the magnetic force on a moving charge.
The right-hand rule states that if you point your thumb in the direction of the velocity of the charge, and your fingers in the direction of the magnetic field, then your palm will point in the direction of the magnetic force.
In this case, the velocity of the charge is to the right, so point your thumb to the right. Now, to determine the direction of the magnetic field, we need to consider the right-hand rule for the magnetic field around a current-carrying wire.
If you wrap your fingers around the wire in the direction of the current (to the left), your thumb will point in the direction of the magnetic field produced by the wire. Since the wire is horizontal and the charge is moving above the wire, the magnetic field produced by the wire will be perpendicular to the plane formed by the wire and the charge.
Therefore, based on the right-hand rules, the magnetic field produced by the wire is perpendicular to the plane of the wire and the charge, and the magnetic force on the charge is directed downwards.
So, the correct answer is b. the current-carrying wire.