Problema #8 Dada dos cargas, q1, 70nc ubicada en ( a, 2, 0) m, de la cual, su vector de dirección Y, forma 40° con el "eje y", y 92 = 2 μc ubicada en (2, 0, -2) m, Calcular el Potencial eléctrico en el punto p ubicado en las coordenadas (-2, 3, 3).
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- P1.30. Electric force on a test charge in the field of six point charges. Six point charges, each of value Q, are situated at (d, 0,0), (-d, 0, 0), (0, d, 0), (0, –d, 0), (0, 0, d), and (0,0, –d). A test charge q located at the origin is displaced by a distance A < d along the positive x-axis. Find an approximate expression for the electric force acting on the charge.The electric field between the inner and the outer surfaces of a cylindrical capacitor carrying charge Q is given by È - Eo, where E, is a constant, r is the cylindrical radial coordinate and f is the corre- sponding unit vector. The inner and the outer radii of the capacitor are a and b, respeetively. Find the capacitance of the cylindrical capacitor. Select one: Eo QIn(b/a) Eo In(b/a) In(b/a) Q In(b/a) Eo E, In(b/a)For problem 4 part b in square centimeters using inner and outer radii of the spherical capacitor of a = 5.49 cm and b = 1.05 a, respectively. (Answer In 5 sig. figs.)
- In these experiment, you will be analyzing the parallel plate capacitor which is represented below. The area of the capacitor and the separation between the plates are adjustable. The capacitance of the setup can be calculated from: C = Kair€oh × L/d. In the setup, you will analyze dependance of C on Area, and on d. Area will be adjusted by changing the length L. HINT: Recall that K = 1.00059 ~ 1, and ɛo = 8.85 x 10-12 F/m (C²/Nm2). |CAUTION: You will be reading the capacitance value by using a multimeter. • Arrange the scale of the multimeter to the smallest possible scale. • Before each reading, always discharge the capacitor by connecting the plates with a wire.Also find an example of an important industrial device in which electricity is created by varying the angle OB,A between the conductor-enclosed area and the B vector. What is this device called?QUESTION 3 Problem Using the method of integration, what is the electric field of a uniformly charged thin circular plate (with radius R and total charge Q) at xo distance from its center? (Consider that the surface of the plate lies in the yz plane) Solution A perfect approach to this is to first obtain the E-field produced by an infinitesimal charge component of the charge Q. There will be several approaches to do this, but the most familiar to us is to obtain a very small shape that could easily represent our circular plane. That shape would be a ring. So for a ring whose charge is q, we recall that the electric field it produces at distance x0 is given by E = (1/ )(x0q)/ 24,2) Since, the actual ring (whose charge is dg) we will be dealing with is an infinitesimal part of the circular plane, then, its infinitesimal electric field contribution is expressed as = (1/ )(x0 We wish to obtain the complete electric field contribution from the above equation, so we integrate it from 0 to R…
- .00 44E0 Give an expression for the electric field strength E at a point in terms of the charge q and distance r from the charge to that point. Use k for k = 47). Flag question (i.e. Use the following notation (without the quotes): "/" for division, "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for √AB use sqrt(A*B). For Greek letters such as π, a etc. use pi, alpha. For example to get 1 AVAB use 1/pi* A^2/B*sqrt(AB). Please use the exact variables given in the conditions of the problem: e.gif L is given, then do not use 1. Please use "Display response" button to check the you entered correct expression, before submitting your answer. л в... Path of trajectory AV w An electron is fired at a speed v¡ = 3.4 x 106 m/s and at an angle 0; = 30.5° between two parallel conducting plates as shown in the figure. If s = 1.5 mm and the voltage difference between the plates is AV = 98 V, determine how close, w, the electron will get to the %3D %3D bottom plate. Put your answer in meters and include at 6 decimal places in your answer. Do not include units. The x-axis of the coordinate system is in the middle of the parallel plate capacitor. Round your answer to 6 decimal places.find a potential function for the given vector field. F(x, y) = 3x 2 cos y, −x3 sin y F(x, y) = e y sec 2 x,e y tan x
- The electric field between the inner and the outer surfaces of a cylindrical capacitor carrying charge Q is given by È - Lo, where Eo is a constant, r is the cylindrical radial coordinate and f is the corre- sponding unit vector. The inner and the outer radii of the capacitor are a and b, respectively. Find the capacitance of the cylindrical capacitor. Select one: E, In(b/a) Eo In(b/a) Eo Q In(b/a) In(b/a) Q In(b/a) EoThe electric field between the inner and the outer surfaces of a cylindrical capacitor carrying charge Q is given by Eo where Eo is a constant, r is the cylindrical radial coordinate and f is the corre- sponding unit vector. The inner and the outer radii of the capacitor are a and b, respectively. Find the capacitance of the cylindrical capacitor.6. A vector field is given as G = 2x²ya, -2(z - x)a, + 3xyza,. Prepare sketches of G₂, G,, G., and G|, all evaluated along the line x = 2, y = -1, for 0 ≤ z ≤ 10.