An infinite line of charge with linear density λ1 = -5.4μC/m is positioned along the axis of a thick conducting shell of inner radius a = 2.5 cm and outer radius b = 4.7 cm and infinite length. The conducting shell is uniformly charged with a linear charge density λ 2 = 2.7 μC/m.

Infinite Line Charge

Make sure to convert to proper units

Epsilon = 8.85×10^-12

1) E = (λ1 + λ2) / (2pi)(r)(Epsilon)

2) y direction so 0

3) E = ((λ1) / (2pi)(r)(Epsilon)) x cos(60)

4) E = ((λ1) / (2pi)(r)(Epsilon)) x sin(60)

5) Just add λ1 + λ2 without converting

6) opposite charge λ1 ( Make sure you check your signs on this one)

7) λ1 no conversion

8) λb = 0

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