In this problem, we'll consider the element of length, dx.
So, we get the total charge as:
The electric field due to a point charge:
The linear charge density is given to be:
λ = ax, but a = -58.3 µC/m2 = -58.3 × 10-6 C/m2
Charge on the element of length, dx
dq = λdx = axdx
Total charge on the rod is:
A charged rod of length L = 5.60 m lies centered on the x axis as shown. The rod has a linear charge density which varies according to λ= ax where a = -58.3 µC/m2.
A. What is the total charge on the rod?
B. What is the x component of the electric field at a point on the x-axis a distance of D = 7.80 from the end of the rod?
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