Challenge - Magnetism

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Section 27.9 Challenge - Magnetism

Explanation 27.9.1. Zero Magnetic Field.

Figure 27.9.1. Grid showing locations of two current carrying wires.

Shown above is a cross-sectional view of two long straight wires that are parallel to one another. One wire carries a current $i_o$ out of the page; the other carries an equal current $i_o$ into the page.

Suppose a third wire (carrying the same current $i_o$ out of the page) is placed such that the magnetic field at point $P$ has zero magnitude. Determine the location of the third wire.

ARC*S 27.9.2. Current Carrying Half-Cylinder.

Figure 27.9.2. Half-cylinder carrying current.

A very long half-cylinder of radius $R$ (see picture above) carries a total current $I$ uniformly distributed across the circumference. Determine the magnetic field along the central axis of the cylinder.

Subsection Metacognitive Reflection

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Section 27.9 Challenge - Magnetism

Explanation 27.9.1. Zero Magnetic Field.

A*R*C*S 27.9.2. Current Carrying Half-Cylinder.

Subsection Metacognitive Reflection

ARC*S 27.9.2. Current Carrying Half-Cylinder.