29. Sources of Magnetic Field

Magnetic Field Produced by Straight Currents

Magnetic Field of a Straight Current Carrying Wire

Magnetic field created by a current carrying wire | Physics | Khan Academy

A wire near the equator carries a current perpendicular to the Earth’s magnetic field of <math display='inline'><mrow><mn>50</mn><mo rspace="thickmathspace">&#x2062;</mo><mo mathvariant="normal" class="MathML-Unit">&#x03BC;</mo><mi mathvariant="normal" class="MathML-Unit">T</mi></mrow></math> in a location where the field is parallel to the ground and points straight north. Assuming it was of correct magnitude, what direction should the current be in to levitate the wire?

A wire near the equator carries a current perpendicular to the Earth’s magnetic field of <math display='inline'><mrow><mn>50</mn><mo rspace="thickmathspace">&#x2062;</mo><mo mathvariant="normal" class="MathML-Unit">&#x03BC;</mo><mi mathvariant="normal" class="MathML-Unit">T</mi></mrow></math> in a location where the field is parallel to the ground and points straight north. The wire has a mass per length of <math display='inline'><mrow><mn>5.9</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">g</mi><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">m</mi></mrow></math>. What magnitude of current in the wire could balance it against the force of gravity? (This example is not very realistic. The mass per length given would be reasonable for a very thin wire which could not handle this large of a current for very long.)

Anderson Video - Magnetic Field from a Long Wire

Magnetic Field due to Long Wire

Find Zero Magnetic Field

At what distance from a wire carrying a <math display='inline'><mrow><mn>10</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">A</mi></mrow></math> current is the magnetic field strength equal to <math display='inline'><mrow><mn>50</mn><mo rspace="thickmathspace">&#x2062;</mo><mo mathvariant=“normal” class=“MathML-Unit”>&#x03BC;</mo><mi mathvariant="normal" class="MathML-Unit">T</mi></mrow></math>? This is the approximate value of the Earth’s magnetic field.

Currents in dc transmission lines can be 100 A or higher. Some people are concerned that the electromagnetic fields from such lines near their homes could pose health dangers. For a line that has current 150 A and a height of 8.0 m above the ground, what magnetic field does the line produce at ground level? Express your answer in teslas and as a percentage of the earth’s magnetic field, which is 0.50 G. Is this value cause for worry?

Typical household wiring in the United States is 14-gauge copper wire which has a radius of <math display='inline'><mrow><mn>813</mn><mo rspace="thickmathspace">&#x2062;</mo><mo mathvariant=“normal” class=“MathML-Unit”>&#x03BC;</mo><mi mathvariant="normal" class="MathML-Unit">m</mi></mrow></math>. What is the magnetic field strength inside the wire, halfway between the center and the outside edge, when it is carrying a typical household current of <math display='inline'><mrow><mn>10</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">A</mi></mrow></math>?

Find Field due to Two Perpendicular Currents

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Magnetic Force Between Two Moving Charges

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Magnetic Field Produced by Moving Charges

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