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An infinite line of charge with linear density λ1 = -6.7μC/m is positioned along the axis...

An infinite line of charge with linear density λ1 = -6.7μC/m is positioned along the axis of a thick conducting shell of inner radius a = 2.6 cm and outer radius b = 5.4 cm and infinite length. The conducting shell is uniformly charged with a linear charge density λ 2 = 3.5 μC/m.

1)

What is Ex(P), the electric field at point P, located at (x,y) = (-8.6 cm, 0 cm) ?

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Answer #1

We know that Gauss's law is given by,

where is the angle between E and dS

Here we choose a cylindrical surface of length l and radius R as Gaussian surface

so,

or,

here given

and

R=8.6cm=0.86m

so,

or,

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