The figure shows two nonconducting spherical shells fixed in place on anx axis. Shell 1 has uniform surface charge density 4.50 pC/m? on its outer surface and radius 0.500 cm, and shell 2 has uniform surface charge density -3.00 uC/m on its outer surface and radius 2.00 cm; the centers are separated by L 5.00 cm. Other than at X- w, where on the x axis is the net electric field equal to zero? Shell Shell
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- In the figure a nonconducting spherical shell of inner radius a = 2.23 cm and outer radius b = 2.70 cm has (within its thickness) a positive volume charge density p = A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q = 46.7 fC is located at that center. What value should A have if the electric field in the shell (a srsb) is to be uniform?The figure shows, in cross section, three infinitely large nonconducting sheets on which charge is uniformly spread. The surface charge densities are o1 = 3.67 µC/m2, 02 = 4.78 µC/m2, and oz = -4.21 µC/m², and distance L = 1.80 cm. What are the (a) x and (b) y components of the net electric field at point P? L/2 2LA long solid copper cylinder has a radius of R = 3.0 cm and a uniform (linear) surface charge density of 4.5 µC/m. Part (a) What is the magnitude of the electric field, in newtons per coulomb, at a distance of 2.9 cm from the symmetry axis of the cylinder? E = 8.7 * 10(6) N/C sin() cos() tan() 8 9 HOME cotan() asin() acos() 4 5 atan() acotan() sinh() 12 3 cosh() tanh() cotanh() + - END ODegrees O Radians VOI BACKSPACE CLEAR DEL -You may apply Gauss' Law to a charge distribution with cylindrical symmetry. Additionally you may consider the behavior of electric fields in the vicinity of a conductor. Part (b) What is the magnitude of the electric field, in newtons per coulomb, at a distance of 4.2 cm from the symmetry axis of the cylinder? Part (c) Which graph best depicts the magnitude of the electric field versus the distance from the symmetry axis of the cylinder?
- The figure below shows a non-conducting spherical shell with a charge density of ρ = + 2 x 10-6 C/m^3. If the inner and outer radii of the sphere a = 10 cm and b = 20 cm, respectively, find the electric field strength E as a function of the distance from the center of the sphere's shell r, with r from zero to 30 cm.Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities 01, 02, 03 and 04 on their surfaces, as shown in the following figure.These surface charge densities have the values o1 = -5.30 µC/m2, o2-5.00µC/m2, o3 = 2.90 µC/m2, and 04-4.00μC/m2. Use Gauss's law to find the magnitude and direction of the electric field at the following points, far from the edges of these sheets. Part A: What is the magnitude of the electric field at point A, 5.00 cm from the left face of the left-hand sheet? Express your answer to three significant figures and include the appropriate units.A point charge of -3.00 micro Coulomb is located in the center of a spherical cavity of radius 6.50 cm that, in turn, is at the center of an insulating charged solid sphere. The charge density in the solid is 7.35 x 10-4 C/m3. Calculate the electric field (in N/C) inside the solid at a distance of 9.50 cm from the center of the cavity. (Don't express your answers in scientific notation)
- A solid sphere of radius a is concentric with a hollow sphere of radius b, where b > a. If the solid sphere has a uniform charge distribution totaling +Q and the hollow sphere a charge of –Q, the electric field at radius r, where r < a, is which of the following, in terms of k = (4π∈0)–1? Choose the correct answer. kQ/b2 zero kQ/a2 kQr/a3 kQ/r2The figure shows a very large nonconducting sheet that has a uniform surface charge density o = -2.70 µC/m2; it also shows a particle of charge Q = 7.40 µC, at distance d from the sheet. Both are fixed in place. If d = 23.0 cm, at what (a) positive and (b) negative coordinate on the x axis (other than infinity) is the net electric field of the sheet and particle zero? (c) If d = 70.0 cm, at what coordinate is É net = 0? (a) Number Units (b) Number i Units (c) Number i Units >Please Asap