A unilor m line charge that has a linear charge density 3.2 nC/m is on the x axi

Question

A unilor m line charge that has a linear charge density 3.2 nC/m is on the x axis between x : 0 tox-5.0 m. )Finl the electric ield on the x axisxm ) Find the clectric firld on the x axis atx 7.0. N'C (d) Find the clectnc ficld on the x axis atx-J00m Fstimate the rectric field atx300 m, using the appraximation that the charge is a paint charge on the x axis at x2.5 m. (f) Compare your result with the result calaulated in part (d) by finding the ratio of the approximation to the exact result. lo do this, you will neod to assume that the values given in this problem statement are valid to more than two significant fgures. (a) Is your approximae result greater or smaller than the exact result? greater smaller

Explanation / Answer

a] total charge = lambda*L = 3.2*5 = 16 nC

b] Electric field due to line charge on its axis = kQ/(a*(L+a))

= 9e9*16e-9 / [(6-5)*6]

= 24 N/C

c] E = kQ/(a*(L+a)) = 9e9*16e-9 / [(7-5)*7] = 10.3 N/C

d] E = kQ/(a*(L+a)) = 9e9*16e-9 / [(300-5)*300] = 0.001627 N/C

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