Consider the magnetic field 0≤s b B(s, 0, z) = -{asle²-a² a. Use step and/or delta functions to write this magnetic field as a single expression valid everywhere in space. b. Find a formula for the current density that creates this magnetic field. c. Interpret your formula for the current density, i.e. explain briefly in words where the current is.
Consider the magnetic field 0≤s b B(s, 0, z) = -{asle²-a² a. Use step and/or delta functions to write this magnetic field as a single expression valid everywhere in space. b. Find a formula for the current density that creates this magnetic field. c. Interpret your formula for the current density, i.e. explain briefly in words where the current is.
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Transcribed Image Text:Consider the magnetic field
0≤s <a
a(s¹-a¹) a<s<b
s> b
B(s, 0, z) = = { a = (0²-0²)
a. Use step and/or delta functions to write this magnetic field as a single expression valid everywhere in space.
b. Find a formula for the current density that creates this magnetic field.
c. Interpret your formula for the current density, i.e. explain briefly in words where the current is.
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