The potential at a point P a distance a above one end of a uniformly c

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The potential at a point P a distance a above one end of a uniformly charged rod of length ℓ lying along the x axis is given by the following equation. V = keQℓ ln⁡(ℓ + a2 + ℓ2 a) Use this result to derive an expression for the y component of the electric field at P. (Use the following as necessary: ke′, ℓ, y, and Q.) Ey =

The potential at a point P a distance a above one end of a uniformly charged rod of length ℓ lying along the x axis is given by the following equation. V = keQℓ ln⁡(ℓ + a2 + ℓ2 a) Use this result to derive an expression for the y component of the electric field at P. (Use the following as necessary: ke′, ℓ, y, and Q.) Ey =

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The potential at a point

P

a distance

a

above one end of a uniformly charged rod of length

ℓ

lying along the

x

axis is given by the following equation.

V = k_{e} \frac{Q}{ℓ} \ln (\frac{ℓ + \sqrt{a^{2} + ℓ^{2}}}{a})

Use this result to derive an expression for the

y

component of the electric field at

P

. (Use the following as necessary:

k_{e^{'}}, ℓ, y

, and

Q

.)

E_{y} =

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