The figure shows two nonconducting spherical shells fixed in place on an x axis. Shell 1 has uniform surface charge density 4.50 µC/m? on its outer surface and radius 0.200 cm, and shell 2 has uniform surface charge density -1.00 µC/m? on its outer surface and radius 1.60 cm; the centers are separated by L= 8.00 cm. Other than at x = 0, where on the x axis is the net electric field equal to zero? Shell Shell 2 L Number Units
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- The figure shows two nonconducting spherical shells fixed in place. Shell 1 has uniform surface charge density +5.5 µC/m² on its outer surface and radius 3.7 cm; shell 2 has uniform surface charge density +3.4 µC/m² on its outer surface and radius 1.6 cm; the shell centers are separated by L = 11.6 cm. What is the x-component (with sign) of the net electric field at x = 2.4 cm? Shell 1 Shell 2 Oo. ·L—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?A 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 shows two nonconducting spherical shells fixed in place. Shell 1 has uniform surface charge density +6.1 μC/m2 on its outer surface and radius 3.7 cm; shell 2 has uniform surface charge density +3.6 μC/m2 on its outer surface and radius 1.5 cm; the shell centers are separated by L = 11.1 cm. What is the x-component (with sign) of the net electric field at x = 2.0 cm?The total charge on the outer surface of the conducting shell at r = c = 20 cm isA cylindrical shell of length l and inner radius a and outer radius b carries a volume charge density given by ρ(r) = α/r where r is the distance to the axis of the shell and α a positive constant. Determine the total charge carried by the shell.
- 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 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/r2Two 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 (Figure 1). These surface charge densities have the values 01 = -5.50 μC/m², 02 = 5.00 μC/m², 03 = 1.00 μC/m², and 4 = 4.00 μC/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 with the appropriate units. E = O μA Value Units ?