A long wire carries a current of 6 into the paper (in - z direction). ...
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A long wire carries a current of 6 into the paper (in - z direction). ...
The direction of the magnetic field at point P and Q can be determined using the right-hand rule for magnetic fields.
1. Magnetic Field Due to a Current-Carrying Wire:
A long wire carrying a current generates a magnetic field around it. The magnetic field lines form concentric circles around the wire, with the direction given by the right-hand rule. If you point your thumb in the direction of the current, your fingers will curl in the direction of the magnetic field lines.
2. Determining the Magnetic Field at Point P:
At point P, which is vertically downward from the wire, the magnetic field lines will form concentric circles around the wire. To determine the direction of the magnetic field at point P, we can use the right-hand rule. If we point our thumb in the direction of the current (into the paper), our fingers will curl in the clockwise direction. Therefore, the magnetic field at point P will be in the -x direction.
3. Determining the Magnetic Field at Point Q:
At point Q, which is to the right of the wire, the magnetic field lines will also form concentric circles around the wire. Again, using the right-hand rule, if we point our thumb in the direction of the current (into the paper), our fingers will curl in the clockwise direction. Therefore, the magnetic field at point Q will be in the -y direction.
4. Final Answer:
Based on the above analysis, the direction of the magnetic field at point P is in the -x direction, and the direction of the magnetic field at point Q is in the -y direction.
In summary, the magnetic field at point P is in the -x direction, and the magnetic field at point Q is in the -y direction. These directions can be determined using the right-hand rule for magnetic fields, where the direction of the current in the wire determines the curling direction of the fingers, representing the magnetic field direction.
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