(closed) Gaussian surface encloses 4 Lithium ions (Li+), 8 Chlo- ride ions (Cl−), and 8 neutral Oxygen atoms, only. The total electric flux through the Gaussian surface is most nearly
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A (closed) Gaussian surface encloses 4 Lithium ions (Li+), 8 Chlo-
ride ions (Cl−), and 8 neutral Oxygen atoms, only. The total electric flux
through the Gaussian surface is most nearly
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- -)A nonuniform, but spherically symmetric distribution of charge has a charge density given as follows: p(r) = 47tar? for r a and r< a, respectively. (Use any variable or symbol stated above along with the following as necessary: eo.)(a) A cubic shape conductor with edge length 2m has 16C charge (i) What will be the electric flux? (ii) What will be the flux if the cube edge length increases to 4m? (ii) Calculate the flux density for a case (ii) (b) An infinite nonconducting sheet has a surface charge density sigma= 0.30x10^-6 C/m^2 on one side. How far apart are equipotential surfaces whose potentials differ by 100 V?A nonconducting spherical shell, with an inner radius of 4.0 cm and an outer radius of 6.0 cm, has charge spread nonuniformily through its volume between its inner and outer surfaces. The o ume charge density p is the charge per unit volume, with the unit coulomb per cubic meter. For this shel p= blr, where r is the distance in meters from the center of the shell and b= 3.0 µC/m?. What is the net charge in the shell?
- (a) A solid sphere, made of an insulating material, has a volume charge density of p where r is the radius from the center of the sphere, a is constant, and a > 0. What is the electric field within the sphere as a function of the radius r? Note: The volume element dv for a spherical shell of radius r and thickness dr is equal to 4xr2dr. (Use the following as necessary: a, r, and g.) magnitude direction E = direction a %0 magnitude E = a Use a gaussian surface concentric with the sphere. How much charge is enclosed by the surface? Can you integrate over the spherical volume, using the given distribution and volume element, to find the charge? How does Gauss's law relate this charge to the flux? Using spherical symmetry, how can you relate the flux to the electric field and the area of the sphere? radially outward (b) What If? What if the charge density as a function of r within the charged solid sphere is given by p electric field within the sphere at radius r. (Use the following as…A cloud of electrons is confined between two concentric spheres of radii 2 cm and 5 cm. The volume density of this cloud of -3x10-8 electrons is expressed by the equation: P, -cos² ø C/m³. Determine the total charge Q contaned in the region.) A neutral water molecule (H,O) in its vapor state has an electric dipole moment p of magnitude 6.2 × 10-30 C-m. 14. (a) How far apart are the molecule's centers of positive and negative charge? (b) If the molecule is placed in an electric field of 1.5 × 104 N/C, what maximum torque can the field exert on it? (Such a field can easily be set up in the laboratory.) (c) How much work must an external agent do to rotate this molecule by 180° in this field, starting from its fully aligned position, for which 0 = 0?
- Three concentric metallic spherical shells of radii R, 2R, 3R ure given eharges Q, Q2, Q3, respcctivcly. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q ;Q, ;Q, , is (a) 1:2:3 (b) 1:3:5 (c) 1:4:9 (d) 1:8:18A Gaussian cube rests on an infinite sheet charged uniformly with a positive surface charge density, o. Next it is raised up off the surface keeping its bottom face parallel to the infinite sheet. How many of the six sides of the cube will have non-zero flux values according to the formula: 0= LEAAYour answer is partially correct. The figure shows two nonconducting spherical shells fixed in place on an x axis. Shell 1 has uniform surface charge density 4.50 uC/m2 on its outer surface and radius 0.500 cm, and shell 2 has uniform surface charge density -1.50 pC/m2 on its outer surface and radius 1.50 cm; the centers are separated by L= 5.00 cm. Other than at x = , where on the x axis is the net electric field equal to zero? Shell Shell 1. Number -0.00826 Units 一
- (a) A solid sphere, made of an insulating material, has a volume charge density of ρ = a/r, where r is the radius from the center of the sphere, a is constant, and a > 0. What is the electric field within the sphere as a function of the radius r? Note: The volume element dV for a spherical shell of radius r and thickness dr is equal to 4πr2dr. (Use the following as necessary: a, r, and ε0.) magnitude E=________ direction: radially outward, radially inward, or no direction? (b) What If? What if the charge density as a function of r within the charged solid sphere is given by ρ = a/r2? Find the new magnitude and direction of the electric field within the sphere at radius r. (Use the following as necessary: a, r, and ε0.) magnitude E=_________ direction: radially outward, radially inward, or no direction?A solid metal sphere with a spherical cavity as shown below has a total charge +Q. [IISc. 2007] R Spherical cavity Solid metal charged sphere O is the centre of the sphere, and P and R are two points equidistant form it. If E, and En represent the magnitude ofthe electric field at Pand R respectively, which ofthe following statements is correct ? (a) E, = ER (b) E, = 0and ER %3D (c) E, > Eg '(d) E,Two infinite sheets of uniform charge density row8=10^-9/3π C/m^2 are located at z = -3 m and y = -3 m. Determine the uniform line charge density rowl necessary to produce the same value of E at (4,3,2) m, if the line charge is located at z =0,y=0SEE MORE QUESTIONS