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A uniform line charge extends from x = - 2.3 cm to x = + 2.3...

A uniform line charge extends from x = - 2.3 cm to x = + 2.3 cm and has a linear charge density of = 5.8 nC/m. (a) Find the total charge. nC * Find the electric field on the y axis at the following distances. (b) y = 4 cm N/C (c) y = 12 cm N/C (d) y = 4.5 m N/C (e) Find the field at y = 4.5 m, assuming the charge to be a point charge. N/C

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Given data The linear charge density 5.8nC/m Length of the wire L +2.3cm-(-2.3cm)-4.6cm The Linear charge density is, (a)The total charge is, (5.8x10)(0.046) 0.2668x10-9 C 0.27x10 C (b)The Electric field on the y-axis is 2kA 2(5.8x109 (9x100.046 (0.04)4(0.04)+(0.046) 1301.0096N/C -1300N/C (c)The Electric field on the y-axis is y = 1 2cm 215.8x10-9 )(9x109)| (0.12) 0.046 4(0.12) +(0.046) 163.77N/C : 164N/C(d)The Electric field on the y-axis is y= 4.5m 2λ. 2(5.8x10-9)(98109)| 0.046 45 (V4(4.5)24(0.046)2 4(4.5)+(0.046 0.1 18NC (e)The field at y = 4.5m kO E- (98109)(0.27×10-9) (4.5) - 0.12N/C

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