Electric Field of a Non-Uniform Line Charge

Question

An infinite line of charge is located on the x-axis and has a linear charge density given by $$\lambda(x) = \lambda_0 |x|$$, where $$\lambda_0$$ is a constant. What is the magnitude of the electric field at the point $$(0, d)$$?

Accepted Answer

$$E = (\lambda_0)/(2\pi\varepsilon_0)$$

Answer

$$E = (\lambda_0 d)/(2\pi\varepsilon_0)$$

Answer

$$E = 0$$

Answer

$$E = (\lambda_0 \ln|d|)/(2\pi\varepsilon_0)$$

Electric Field of a Non-Uniform Line Charge

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