At location C there is an electric field in the direction indicated below. A sulfide ion S²- is placed at point C. What is the direction of the electric force on the sulfide ion?
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- In this exercise, you practice electric field lines. Make sure you represent both the magnitude and direction of the electric field adequately. Note that the number of lines into or out of charges is proportional to the charges. (a) Draw the electric field lines map for two charges +20C and 20C situated 5 cm from each other. (b) Draw the electric field lines map for two charges +20C and +20C situated 5 cm from each other. (c) Draw the electric field lines map for two charges +20C and 30C situated 5 cm from each other.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.In the configuration shown in the picture below, what is the total pridicted electric field magnitude at point "a"
- Positive electric charge is uniformly distributed along the y-axis with a linear charge density l. Consider the case where charge is distributed only between points y = +a and y = -a. For points between the +x-axis, graph the x-component of the electric field as a function of x, Ex (x), for values x = a/2 and x = 4a. Consider instead the case where charge is distributed along the entire y-axis with the same charge density l. Using the same graph as in part (a), plot the x-component of the electric field, Ex (x), as function of x for values of x between x = a/2 and x = 4a.A long cylinder of copper of radius 2 cm is charged so that it has a uniform charge per unit length on its surface of 6 C/m. (a) Find the electric field inside and outside the cylinder at a distance r from the center of the cylinder. (Enter the radial component of the electric field. Use any variable or symbol stated above along with the following as necessary: epsilon(naught). Assume E is in N/C and r is in meters. Do not include units in your answer.) (b) Draw electric field lines in a plane perpendicular to the rod.Consider a solid spherical conductor of radius R and charge Q at electrostatic equilibrium shown below. C is located at a distance 2R and D at a distance 3R. Find the electric field at each point. What is the correct ranking of Points A, B, C, and D according to the value of electric field at their locations? Explain why. A. A > B > D = C B. D > A > B = C C. B > C > D = A D. C > D > B = A
- 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->.A cylinder of diameter 1.72 m is in a region where the electric field is as shown in the figure below. If E1 = 42.4 N/C and E2 = 23.1 N/C, what is the net flux through the two end faces of the cylinder? Note that the diagram is not to scale.As shown in the figure, inner radius R1 outer radius R2homogeneously distributed over the metal sphere shell, total positiveelectric charge is given as + 4?. If in the center of the sphere shellThere is a point electrical charge with a total amount of 2?.Answer the following questions using the Gaussian flux law. a) Find the electric field strength in the region r <1. b) Find the electric field strength in the region 1 <r <?2. ) c) Find the electric field strength in the region r> ?2. d) Express the electric field strengths you find as vectors.
- c. i. Compare the electric flux in a cubical surface of a side 10cm and spherical surface ofradius 10 cm, when a charge of 5µC is enclosed by them.ii. How does the electric field enclosing a given charge vary when the area enclosed bythe charged is doubled. Assuming the electric flux is constant.Positive charge is distributed with a uniform density λ along the positive x-axis from r to ∞, along the positive y-axis from r to ∞, and along a 90° arc of a circle of radius r, as shown below. What is the electric field at O? (Use the following as necessary: λ, r, and ε0.) E = _____ i + ______ j + ______ kConsider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C, are known to be 5 mC, 4 mC, and 7 mC, respectively. Given that the side AB is numerically equal to the last two digits of your student number, in meters, and AC is thrice AB, find the magnitudes of the force and of the electric field at A. When AB = 12
