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4. Consider a pair of infinite conducting sheets placed parallel to the xy plane. We can model the current sheets using an infinite number of conducting wires placed side-by-side, as shown in the diagram below, where the wires have a density of n wires per meter in the y direction. Each wire making up the upper sheet at z = d carries a current I in the + direction and each wire in the lower sheet at z = 0 carries a uniform current I in the - direction. a. Use Ampère's Law to find the magnetic field produced by each current sheet and apply superposition to find the total magnetic field everywhere in space. b. Find the magnitude and direction of the magnetic force per unit area on each sheet. X Z d

4. Consider a pair of infinite conducting sheets placed parallel to the xy plane. We can model the current sheets using an infinite number of conducting wires placed side-by-side, as shown in the diagram below, where the wires have a density of n wires per meter in the y direction. Each wire making up the upper sheet at z = d carries a current I in the + direction and each wire in the lower sheet at z = 0 carries a uniform current I in the - direction. a. Use Ampère's Law to find the magnetic field produced by each current sheet and apply superposition to find the total magnetic field everywhere in space. b. Find the magnitude and direction of the magnetic force per unit area on each sheet. X Z d

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4. Consider a pair of infinite conducting sheets placed parallel to the xy plane. We can model the current sheets using an infinite number of conducting wires placed side-by-side, as shown in the diagram below, where the wires have a density of n wires per meter in the y direction. Each wire making up the upper sheet at z = d carries a current I in the + direction and each wire in the lower sheet at z = 0 carries a uniform current I in the - direction. a. Use Ampère's Law to find the magnetic field produced by each current sheet and apply superposition to find the total magnetic field everywhere in space. b. Find the magnitude and direction of the magnetic force per unit area on each sheet. مز X Z y d
Transcribed Image Text:4. Consider a pair of infinite conducting sheets placed parallel to the xy plane. We can model the current sheets using an infinite number of conducting wires placed side-by-side, as shown in the diagram below, where the wires have a density of n wires per meter in the y direction. Each wire making up the upper sheet at z = d carries a current I in the + direction and each wire in the lower sheet at z = 0 carries a uniform current I in the - direction. a. Use Ampère's Law to find the magnetic field produced by each current sheet and apply superposition to find the total magnetic field everywhere in space. b. Find the magnitude and direction of the magnetic force per unit area on each sheet. مز X Z y d
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