A Circular Metal Loop of Radius 10 Cm and Three $I _ { 1 } = 60 \mathrm {~A} ,$

question 140

Multiple Choice

A circular metal loop of radius 10 cm and three long straight wires carry currents of $I _ { 1 } = 60 \mathrm {~A} ,$ $\mathrm { I } _ { 2 } = 20 \mathrm {~A} ,$ $I _ { 3 } = 70 \mathrm {~A} ,$ and $I _ { 4 } = 30 \mathrm {~A} ,$ 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 z component of the resultant magnetic field at the center of the loop? (?₀ = 4? × 10^-7 T ? m/A)

• A)-360 ?T
• B)+360 ?T
• C)-40 ?T
• D)+40 ?T
• E)-170 ?T

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Definitions:

Elemental Symbol

A notation consisting of letters that represent a chemical element, used in chemical formulas and equations.

Fluorine

A chemical element with the symbol F and atomic number 9, known for its extremely high electronegativity and reactivity.

Elemental Symbol

A one- or two-letter abbreviation used to represent an element on the periodic table, based on its English or Latin name.

Ag

The symbol for Silver, a chemical element with valuable electrical conductivity, thermal conductivity, and reflectivity properties.