A Circular Metal Loop of Radius 10 Cm and Three $I _ { 1 } = 20 \mathrm {~A} ,$

question 2

Multiple Choice

A circular metal loop of radius 10 cm and three long straight wires carry currents of $I _ { 1 } = 20 \mathrm {~A} ,$ $I _ { 2 } = 50 \mathrm {~A} ,$ $I _ { 3 } = 20 \mathrm {~A} ,$ and $I _ { 4 } = 40 \mathrm {~A} ,$ as shown in the figure. Each of the straight wires is 20 cm from the center of the loop. The axes are shown in the figure, with the +z-axis coming out of the paper. What is the y component of the resultant magnetic field at the center of the loop? (?₀ = 4? × 10^-7 T ? m/A)

• A)-54 ?T
• B)-60 ?T
• C)-50 ?T
• D)+60 ?T
• E)+50 ?T

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Definitions:

Medulla

An essential part of the brainstem that controls vital autonomic functions like heartbeat and breathing.

Cerebral Cortex

The outer layer of neural tissue of the cerebrum of the brain in humans and other mammals, involved in many complex brain functions including memory, attention, perceptual awareness, thought, language, and consciousness.

Brain Stem

The lower part of the brain that connects to the spinal cord, controlling vital life-sustaining functions such as heartbeat, breathing, and consciousness.

Life-Sustaining Functions

The essential physiological processes necessary to maintain life, including respiration, blood circulation, and neural activity.