+ + + + + + + # +Fx led»- L The figure above shows a thin plastic rod of length L and uniform linear charge density A. NOTE: Express your answers in terms of the given variables using eo when necessary. (a) Find an expression for the electric potential at point P. 3D 3D + L V =k + en 3D 3D 3D 3D (b) Substitute variable x for d and find an expression for Ep of the electric field at P (in terms of d and other variables). 3D k + L 3D Ex 入(A+ L) 3D 3D (c) From the symmetry in the figure, determine Ey at P. 3D 3D 3D 3D Ey = 0

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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The figure above shows a thin plastic rod of length \( L \) and uniform linear charge density \( \lambda \).

**NOTE:** Express your answers in terms of the given variables using \( \varepsilon_0 \) when necessary.

**(a)** Find an expression for the electric potential at point \( P_1 \).  
\[ V = k + en\left(\frac{\lambda + L}{\lambda}\right) \] ✗

**(b)** Substitute variable \( x \) for \( d \) and find an expression for \( E_x \) of the electric field at \( P_1 \) (in terms of \( d \) and other variables).  
\[ E_x = \frac{k + L}{\lambda(\lambda + L)} \] ✗

**(c)** From the symmetry in the figure, determine \( E_y \) at \( P_1 \).  
\[ E_y = 0 \] ✓
Transcribed Image Text:The figure above shows a thin plastic rod of length \( L \) and uniform linear charge density \( \lambda \). **NOTE:** Express your answers in terms of the given variables using \( \varepsilon_0 \) when necessary. **(a)** Find an expression for the electric potential at point \( P_1 \). \[ V = k + en\left(\frac{\lambda + L}{\lambda}\right) \] ✗ **(b)** Substitute variable \( x \) for \( d \) and find an expression for \( E_x \) of the electric field at \( P_1 \) (in terms of \( d \) and other variables). \[ E_x = \frac{k + L}{\lambda(\lambda + L)} \] ✗ **(c)** From the symmetry in the figure, determine \( E_y \) at \( P_1 \). \[ E_y = 0 \] ✓
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