The magnetic flux density may be represented by 𝐵𝑧=[1/(1+100𝜌2)]sin103𝜋𝑡 mWb/m2 in cylindirical coordinates for 𝜌<0.2 m.

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The magnetic flux density may be represented by𝐵𝑧=[1/(1+100𝜌2)]sin103𝜋𝑡 mWb/m2 in cylindirical coordinates for𝜌<0.2 m.a) Find the magnetic flux passing through the surface 𝜌≤0.1, 𝑧=0 inthe 𝑢̂𝑧 direction.b) Find 𝐸⃗ at 𝜌=0.1,𝜙=𝜋4, 𝑧=0.c) If the circular path, 𝜌=0.1, 𝑧=0, is a conductive wire having aresistance 1 Ω/cm, what current flow in the wire in the 𝑢̂𝜙direction?