A thin plastic rod of length d = 0.65 m lies along the x-axis with its midpoint at the origin. The rod carries a uniform charge density of λ = 6.5 nC/m. The point P is located along the y-axis at (0,y = 75 cm). What is an expression for the electric potential at point P due to a small segment of the rod, of thickness dx, located at (x,0), in terms of x, dx, y, and the Coulomb constant ke? Using the expression you entered in part (a), choose the correct limits for the integral that will give the electric potential at P.  Calculate the electric potential at P, in volts.

Principles of Physics: A Calculus-Based Text
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Chapter20: Electric Potential And Capacitance
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 A thin plastic rod of length d = 0.65 m lies along the x-axis with its midpoint at the origin. The rod carries a uniform charge density of λ = 6.5 nC/m. The point P is located along the y-axis at (0,y = 75 cm).

What is an expression for the electric potential at point P due to a small segment of the rod, of thickness dx, located at (x,0), in terms of x, dxy, and the Coulomb constant ke?

Using the expression you entered in part (a), choose the correct limits for the integral that will give the electric potential at P. 

Calculate the electric potential at P, in volts. 

 

Expert Solution
Step 1

Electric potential due to a charge at a point is given by- V=14πε0qr

Charge per unit length is given as- λ=QL

For a continuous charge distribution, the potential at some point can be found by dividing it into infinitesimally small charge elements and then integrating the potential due to each of such small charge elements.

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