A semicircle of radius a is in the first and second quadrants, with thecenter of curvature at the origin. Positive charge +Q is distributeduniformly around the left half of the semicircle, and negative charge-Q is distributed uniformly around the right half of the semicircle inthe following figure.(Figure 1)Part AWhat is the magnitude of the net electric field at the origin produced by this distribution of charge?Express your answer in terms of the variables Q, a, and constant k.Πνα ΑΣφE = +Qa

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Answered: A semicircle of radius a is in the…

University Physics Volume 2

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Chapter6: Gauss's Law

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Problem 84AP: A total charge Q is distributed uniformly throughout a spherical volume that is centered at o1 and...

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A semicircle of radius a is in the first and second quadrants, with the center of curvature at the origin. Positive charge +Q is distributed uniformly around the left half of the semicircle, and negative charge −Q is distributed uniformly around the right half of the semicircle in the following figure. What is the magnitude and direction of the net electric field at the origin produced by this distribution of charge?
Use GFSA (Given, Find, Solution, and Answer) on the given space below. Encircle your final answer, write it in scientific notation with 2 decimal places (if possible). An cylinder with radius 1 m and length 1.5 m has an infinite line of charge with a linear charge density of 30 C/m. (Make an illustration of the problem) (a) What is the total charge enclosed by the Gaussian cylinder? (b) What is the electric flux through the cylinder due to the infinite line of charge? (c) Calculate the electric field at a point 3 m away from the infinite line of charge.
What is the net electric flux through the cylinder (a) shown in (Figure 1)? What is the net electric flux through the cylinder (b) shown in (Figure 2)? Express your answer in terms of the variables E, R, and the constant π.
Three chargesbare arranged on a rectangle as shown below. What is the net electric field at P2? Calculate the magnitude and the direction
In the configuration shown in the picture below, what is the total predicted angle for electric field at point a?
The figure shows a uniformly charged rod withlength a, carrying a total charge of Q. You needto derive an expression for the electric field gen-erated by the rod at point P, which is a distanced below the left end of the rod. (a) Redraw the figure and show clearly how you planto parametrise the rod. Indicate a general in-finitesimal segment and include any vectors rele-vant to your calculation. This figure is an inte-gral part of your calculation, and should providethe reader with enough information to be able tofollow your work. (b) Write down an expression for dE~ , the electric fieldgenerated at point P by an infinitesimal segment.Ensure that the dependence on the parametrisa-tion coordinate is explicit in your expression. (C) Write down an expression for dEx, the x-component of dE~ , and calculate Ex, the x-component of the field at point P. (d) Repeat the steps above to determine the y-component of the field at point P.
A hemispherical surface of radius b = 16.5m is fixed in a uniform electric field of magnitude E0 = 6.47 V/m. This is illustrated in the attached image. (x - axis points out of the screen) What is the general expression for an infinitesimal area dA, is spheral coordinates (r, Θ, Φ), where Θ is the polar angle and Φ is the azimuthal angle? Use ñ as your outward pointing unit vector. Calculate the electric flux in volt meters through the hemishpere.
Consider a quarter-circular, very thin, curved rod with a uniform linear charge density, λ, and aradius, r. Derive an equation for the magnitude of the electric field at the point, P, at the centercurvature of the rod, as shown in the figure below. Write the final answer in terms of λ and r, and simplify your answer as much as possible.
Consider a very thin semi-circle of charge as shown, with radius of R. Explain with words and equations how you would derive the electric field vector measured at the center of this line of charge curved into a semi-circle with radius R (Measure E at the origin).
In the configuration shown in the picture below, what is the total pridicted electric field magnitude at point "a"
Consider an infinitesimal segment located at an angular position θ on the semicircle, measured from the lower right corner of the semicircle at x=a, y=0. (Thus θ=π2 at x=0, y=a and θ=π at x=−a, y=0.) What are the x- and y- components of the electric field at point P (dEx and dEy) produced by just this segment? Express your answers separated by a comma in terms of some, all, or none of the variables Q, a, θ, dθ, and the constants k and π.
A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the roddepends on θ and is given byλ =λ0/cos θwhere λ0 is a positive constant. The arc extends from θ =π/4 to θ =3π/4as shown a)Sketch the direction of the resultant electric field at the origin.b) Calculate the magnitude of the electric field E->.

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