Question

What is the direction of the magnetic field B at point C?

Answer 1

The direction of the magnetic field B at point C is perpendicular to the plane formed by the current-carrying wire and the point, following the right-hand rule.

Step-by-step explanation:

The direction of the magnetic field at a specific point around a current-carrying wire can be determined using the right-hand rule. For point C, place your right thumb in the direction of the current flow in the wire. Now, extend your index finger perpendicular to the wire. The direction in which your middle finger points is the direction of the magnetic field at point C.

This is based on the principle that when electric current flows through a wire, it creates a magnetic field around it. The right-hand rule provides a convenient way to visualize the relationship between the direction of the current and the resulting magnetic field.

The thumb represents the direction of current, the index finger shows the direction of the magnetic field, and the middle finger points in the direction in which the magnetic field lines circulate around the wire.

In the case of point C, applying the right-hand rule as described, we find that the magnetic field B is directed perpendicular to the plane formed by the current-carrying wire and the point C. This rule is a fundamental concept in electromagnetism and is widely used to determine the direction of magnetic fields in various situations involving current-carrying conductors.

Answer 2

The direction of the magnetic field B at point C is circumferential, encircling the wire in a counterclockwise manner when viewed from above.

Step-by-step explanation:

The direction of the magnetic field (B) at point C, influenced by a current-carrying wire along the x-axis passing through the origin, follows the right-hand rule. As per the right-hand rule for a wire carrying current in the positive x-direction, the magnetic field lines encircle the wire.

When determining the direction at point C, a counterclockwise circular pattern is formed around the wire when viewed from above. This occurs due to the convention that the direction of the magnetic field around a current-carrying wire aligns itself in a circular path concentric with the wire's position.

This pattern follows the principles of electromagnetism, specifically the Ampère's law and the Biot-Savart law, which illustrate the magnetic field's direction and strength around a current-carrying conductor.

Here's a complete question"What is the direction of the magnetic field B at point C located in a region influenced by a current-carrying wire positioned along the x-axis and passing through the origin O? The wire carries a current I in the positive x-direction."