(b) Figure Q.2 (b) shows a 100 m cylindrical structure centre is located at (0,5,0). The inner radius and outer radius are given as ra and r, in free space. The inner and outer layer contain surface charge density of +x, C/m² and -x, C/m² with zero nett charge. Given that r₁ = 1.0 x 10-3 m, r = 2.5 x 10-3 m and inner layer of total charge of +1 pc. (i) Calculate x and x, in free space. (ii) Assuming the charge is zero elsewhere, find the E in all the regions. (iii) Sketch graph of |E| against y-axis for 0 ≤ y ≤ 5 m. N r. a rb Figure Q.2(b)

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(b) Figure Q.2 (b) shows a 100 m cylindrical structure centre is located at (0,5,0).
The inner radius and outer radius are given as ra and r, in free space. The
inner and outer layer contain surface charge density of +x, C/m² and -x, C/m²
with zero nett charge. Given that r₁ = 1.0 x 10-3 m, r = 2.5 x 10-3 m and inner
layer of total charge of +1 pc.
(i)
Calculate x and x, in free space.
(ii) Assuming the charge is zero elsewhere, find the E in all the regions.
(iii) Sketch graph of |E| against y-axis for 0 ≤ y ≤ 5 m.
N
r.
a
rb
Figure Q.2(b)
Transcribed Image Text:(b) Figure Q.2 (b) shows a 100 m cylindrical structure centre is located at (0,5,0). The inner radius and outer radius are given as ra and r, in free space. The inner and outer layer contain surface charge density of +x, C/m² and -x, C/m² with zero nett charge. Given that r₁ = 1.0 x 10-3 m, r = 2.5 x 10-3 m and inner layer of total charge of +1 pc. (i) Calculate x and x, in free space. (ii) Assuming the charge is zero elsewhere, find the E in all the regions. (iii) Sketch graph of |E| against y-axis for 0 ≤ y ≤ 5 m. N r. a rb Figure Q.2(b)
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