A uniform volume charge density of 0.3 µC/m³ is present throughout the spherical shell extending from r = 2 cm to r = 4 cm. If Py = 0 elsewhere: find the total charge present throughout the shell find r, if half the total charge is located in the region 2 cm
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- A quarter-disc in the first quadrant has a surface charge density given by K cos φ C/m2. If the radius of the discis b, calculate the electric field at a point P(0, 0, −hHello, I understand that to calculate the net charge in the shell, I need to integrate the equation from 4 cm to 6 cm with volume charge density times 2 * pi * r * dr. However, since the problem here provides me with a novel expression of p = b/r, I am a bit lost... Could you please tell me how I can solve such problem?Consider a hollow sphere of radii h and 3h, interior and exterior respectively. The charge density on the sphere is ρ=ar, C/m3, where a is a positive constant, and r is the distance from the center of the sphere to an arbitrary point inside the sphere. A point charge with charge Q, of magnitude −16πah4 C, is located at the center of the sphere. Find the electric field, Eux, of the distribution, sphere and point charge, at a point (P), on the x-axis, located at a distance of 2h, measured with respect to the center of the sphere. In this case consider that ah2= 4. Use k=9×109, ux unit vector in the x-direction, π=3.14
- A non conducting solid cylinder of radius 8.4 cm, length 14.2 cm and volume charge density ρ =b/r, where b = -12 μC/m2, and r is the radial distance in m. The total charge on the cylinder is:A charge distribution that is spherically symmetric but not uniform radially produces an electric field of magnitude E = Kr4, directed radially outward from the center of the sphere. Here r is the radial distance from that center, and K is a constant.What is the volume density r of the charge distribution?) Two concentric spherical shells of radii r and 2r are connected by a wire, as shown. If the system is charged to a total charge Q, the electric charge on the outer shell is:
- PLEASE SOLVE ASAP A sphere of radius a has volume charge density p = bor where bo is constant and r is the distance from the center of the sphere. The total charge of the sphere is Q. Now the sphere with charge Q is placed at the center of a thick metal spherical shell with inner radius b, outer radius c, and total charge q. Find the value of the electric field: d. Outside the shell r>cFor problem 7, calculate the total flux through the one side of the cube in kNm2/C for a particle with a charge 3.39 uC at the center of the cube.(5 sig. figs.)An infinitely long cylindrical conductor has radius R and uniform surface charge density. In terms of R and, what is the charge per unit length for the cylinder?
- This equation is for the electric field of a uniform ring which is charged and is at point z which is perpendicular to the center of the ring. (it means z=0 is part of the plane in which the ring is in). R=radius of ring, Q= total charge of ring, k= coulomb's constant. If k=1 units, Q=1 units, R=8 units, what is Ering, z when z=6 units?Consider a conductor with total charge of −12q. The conductor has a cavity, and there is a+15q charge inside the cavity. How much charge is on the outer surface of the conductor?This is an equation for an radially directed, electric field of a rod that has finite charge and is uniform. r is the distance of the charge in a plane that bisects the rod. L= length of the rod, Q= Total charge of the rod, k=coulomb's constant. if k=1 units, Q=1 units, L=12 units, what is Erod when r=4?