Uniform line charge that has a linear charge density lambda = 2.7 nC/m is on the

Question

Uniform line charge that has a linear charge density lambda = 2.7 nC/m is on the x axis between x = 0 to x = 5.0 m. (a) What is its total charge? nC b) Find the electric field on the x axis at x = 6 m. (c) Find the electric field on the x axis at x = 12.0 m. N/C (d) Find the electric field on the x axis at x = 300 m. N/C (e) Estimate the electric field at x = 300 m, using the approximation that the charge is a point charge on the x axis at x = 2.5 m. (f) Compare your result with the result calculated in part (d) by finding the ratio approximation to the exact result. To do this, you will need to assume that the values given in this problem of the statement are valid to more than two significant figures. (a) ls your approximate result greater or smaller than the exact result? greater smaller

Explanation / Answer

linear charge density = total charge / length

2.7 * 10^-9 = total charge / 5

total charge = 1.35 * 10^-8 C

electric field at x axis = k * linear density * length / x * (x + length)

electric field at x = 6 m will be = 9 * 10^9 * 2.7 * 10^-9 * 5 / (6 * (6 + 5))

electric field at 6m = 1.84 N/C

electric field at x = 12 m = 9 * 10^9 * 2.7 * 10^-9 * 5 / (12 * (12 + 5))

electrical field at 12 m = 0.595 N/C

electric field at x = 300 m = 9 * 10^9 * 2.7 * 10^-9 * 5 / (300 * (300 + 5))

electric field at 300 m = 0.001327 N/C

*kindly post only 4 subparts in a single post

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