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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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.
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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