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17.10.2021 06:33
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A very long uniform line of charge has charge per unit length 4.54 μC/m and lies

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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lanc3r3vo
lanc3r3vo
4,6(49 marks)

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

dchirunga23
dchirunga23
4,6(21 marks)
A parallel circuit.

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