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Figure $24-47$ shows a thin plastic rod of length $L=12.0 \mathrm{~cm}$ and uniform positive charge $Q=$ $56.1 \mathrm{fClying}$ on an $x$ axis. With $V=0$ at infinity, find the electric potential at point $P_{1}$ on the axis, at distance $d=2.50 \mathrm{~cm}$ from the rod.

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The figure shows a thin plastic rod of length lanswer

5 \mathrm{cm}$ and uniform charge 43.6 $\mathrm{fC}$. We are asked to find the electric potential at point $P_{1}$ in terms of distance $d$. From problem 28, we know that the potential is given by the formula  Show more…

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Question 1 The figure shows a thin plastic rod of length L = 10.1 cm and uniform charge 56.9 fC. (a) In terms of distance d, charge density λ and ε₀, find an expression for the electric potential at point P₁. (b) Next, substitute variable x for d and find an expression for the magnitude of the component Ex of the electric field at P₁ (in terms of d and other variables). (c) What is the direction of Ex relative to the positive direction of the x-axis? (d) What is the value of Ex at P₁ for x = d = 7.51 cm? (e) From the symmetry in the figure, determine Ey at P₁.

PhD candidate, physics, Cornell University My research is in the behavior of systems that can be modeled as networks; most of the work I do is exploring the properties of firing patterns in networks of neurons in the brain. My favorite topic in undergraduate physics is waves and oscillations in all their various forms. Other interests include electronics and mechanical systems (e.g. clocks, machine tools, musical instruments, cars).

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Figure 24-24 shows a thin plastic rod of length $L=13.5 \mathrm{~cm}$ and uniform charge $43.6 \mathrm{fC}$. (a) In terms of distance $d$, find an expression for the electric potential at point $P_{1 .}$ (b) Next, substitute variable $x$ for $d$ and find an expression for the magnitude of the component $E_{x}$ of the electric field at $P_{1}$. (c) What is the direction of $E_{x}$ relative to the positive direction of the $x$ axis? (d) What is the value of $E_{x}$ at $P_{1}$ for $x=d=6.60 \mathrm{~cm} ?$ (e) From the symmetry in Fig. 24 24 , determine $E_{y}$ at $P_{1-}$