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class_13(E_field_material)

# class_13(E_field_material) - HW1 solution Find electric...

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HW1 solution ε r =2 ε r =4 ρ v =1c/m Find electric field, displacement, and potential R1=1m R2=0.5m Approach: Step 1: Use Gauss’s law to solve the displacement vector Step 2: Use the displacement vector to find the electric field Step 3: Integrate the electric field to find the potential We need to consider three regions 2 R r < 1 2 R r R < < 1 R r I II III

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ε r =2 ε r =4 ρ v =1c/m 3 R2=0.5m Use Gauss’s law to solve the displacement vector Use the displacement vector to find the electric field 2 R r < Region I P(r, θ , φ )
ε r =2 ε r =4 ρ v =1c/m 3 Use Gauss’s law to solve the displacement vector Use the displacement vector to find the electric field 1 2 R r R < < Region II P(r, θ , φ )

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ε r =2 ε r =4 ρ v =1c/m 3 Use Gauss’s law to solve the displacement vector Use the displacement vector to find the electric field 1 R r Region III P(r, θ , φ )
ε r =2 ε r =4 ρ v =1c/m 3 1 R r Find potential in region III P(r, θ , φ ) Integrate the electric field to find the potential = ) , , ( ' ) ' ( ) ( φ θ r P dr r E r V = r dr r E r V ' ) ' ( ) (

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class_13(E_field_material) - HW1 solution Find electric...

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