Question

(II) In Fig. 28–36, a long straight wire carries current I out of the page toward you. Indicate, with appropriate arrows, the direction and (relative) magnitude of $\vec{B}$ at each of the points C, D, and E in the plane of the page.

Accepted Answer

Step 1: Understand the problem. The problem involves determining the direction and relative magnitude of the magnetic field (B) at points C, D, and E due to a long straight wire carrying current I out of the page. The wire generates a magnetic field around it, and the direction of the field can be determined using the right-hand rule. Step 2: Apply the right-hand rule. For a current coming out of the page, curl the fingers of your right hand around the wire in the direction of the magnetic field. Your thumb points in the direction of the current (out of the page), and your fingers indicate the circular direction of the magnetic field lines around the wire. Step 3: Determine the direction of B at each point. At point C, which is to the left of the wire, the magnetic field will point downward. At point D, which is directly above the wire, the magnetic field will point to the left. At point E, which is to the right of the wire, the magnetic field will point upward. Step 4: Consider the relative magnitude of B. The magnitude of the magnetic field decreases with distance from the wire. Use the formula for the magnetic field around a long straight wire: B=μ_{0}I2πr, where μ₀ is the permeability of free space, I is the current, and r is the distance from the wire. Points closer to the wire will have a stronger magnetic field. Step 5: Summarize the findings. At point C, the magnetic field points downward and is relatively strong if close to the wire. At point D, the magnetic field points to the left and is strongest because it is closest to the wire. At point E, the magnetic field points upward and is weaker if farther from the wire. Use arrows to indicate these directions and relative magnitudes on the diagram.

(II) In Fig. 28–36, a long straight wire carries current I out of the page toward you. Indicate, with appropriate arrows, the direction and (relative) magnitude of $\vec{B}$ at each of the points C, D, and E in the plane of the page.

Verified video answer for a similar problem:

Key Concepts

Magnetic Field Around a Current-Carrying Wire

Right-Hand Rule

Magnitude of Magnetic Field

(II) In Fig. 28–36, a long straight wire carries current I out of the page toward you. Indicate, with appropriate arrows, the direction and (relative) magnitude of B→\(\overrightarrow{B}\) at each of the points C, D, and E in the plane of the page.

Verified video answer for a similar problem:

Key Concepts

Magnetic Field Around a Current-Carrying Wire

Right-Hand Rule

Magnitude of Magnetic Field

(II) In Fig. 28–36, a long straight wire carries current I out of the page toward you. Indicate, with appropriate arrows, the direction and (relative) magnitude of $\vec{B}$ at each of the points C, D, and E in the plane of the page.