A very long uniform line of charge has charge per unit length 4.54 μC/m and lies along the x-axis. A second long uniform line of charge has

Question

A very long uniform line of charge has charge per unit length 4.54 μC/m and lies along the x-axis. A second long uniform line of charge has charge per unit length -2.58 μC/m and is parallel to the x-axis at y1 = 0.384 m .

What is the magnitude of the net electric field at point y2 = 0.204 m on the y-axis?

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Sigridomena 4 years 2021-09-03T15:03:54+00:00 1 Answers 17 views 0

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  1. dangkhoa
    0
    2021-09-03T15:04:54+00:00
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    Answer:

    The magnitude of the net electric field is 6.57\times10^{5}\ N/C

    Explanation:

    Given that,

    Charge density \lambda = 4.54\ \mu C/m

    Charge density \lambda' = -2.58\ \mu C/m

    Distance y_{1}= 0.384\ m

    Distance y_{2}= 0.204\ m

    We need to calculate the magnitude of the net electric field

    Using formula of electric field

    E=E_{1}+E_{2}

    E=\dfrac{1}{2\pi\epsilon_{0}}(\dfrac{\lambda}{r}+\dfrac{\lambda'}{r'})

    Put the value into the formula

    E=\dfrac{1}{2\pi\times8.85\times10^{-12}}(\dfrac{4.54\times10^{-6}}{0.204}+\dfrac{2.58\times10^{-6}}{0.384-0.204})

    E=6.57\times10^{5}\ N/C

    Hence, The magnitude of the net electric field is 6.57\times10^{5}\ N/C

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