A conducting sphere of radius 10 cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is 1.5 x 103 N/C and points radially inward, what is the net charge on the sphere?
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- Two point charges are enclosed by a spherical conducting shell that has an inner and outer radius of 13.0 cm13.0 cm and 15.2 cm,15.2 cm, respectively. One point charge has a charge of ?1=8.10 μC,�1=8.10 μC, while the second point charge has an unknown charge ?2.�2. The conducting shell is known to have a net electric charge of −3.70 μC,−3.70 μC, but measurements find that the charge on the outer surface of the shell is 3.70 μC.3.70 μC. Determine the charge ?2�2 of the second point charge in units of microcoulombs.A conducting spherical shell of inner radius a = 3 cm and outer radius b = 8 cm is charged by a total charge Q = 4.8T µc. A point charge q = 1.6T µc is placed at the center of the spherical shell.The surface charge density at the outer surface (in 10-3 c/m?) is:A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.20 cm, outer radius = 9.80 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?
- The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.10 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.8R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.62 × 10-12 C; that on the shell is Q2 = -2.0501. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.13R₂? What are (c) E and (d) the direction at r = 5.12R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? R₂ R₁A nonconducting solid sphere of radius 10.7 cm has a uniform volume charge density. The magnitude of the electric field at 21.4 cm from the sphere's center is 2.18 103 N/C. (a) What is the sphere's volume charge density? (b) Find the magnitude of the electric field at a distance of 5.00 cm from the sphere's center.A solid sphere of radius 40.0 cm has a total positive charge of 25.0 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances. (a) 0 cm from the center of the sphere kN/C(b) 10.0 cm from the center of the sphere kN/C(c) 40.0 cm from the center of the sphere kN/C
- A uniformly charged conducting sphere of 1.7 m diameter has a surface charge density of 8.7 µC/m². (a) Find the net charge on the sphere. (b) What is the total electric flux leaving the surface of the sphere? (a) Number (b) Number i Units UnitsAn unknown charge sits on a conducting solid sphere of radius 9.5 cm. If the electric field 13 cm from the center of the sphere has magnitude 4.3 × 103 N/C and is directed radially inward, what is the net charge on the sphere?A cube has positive charge +Q in all corners except for one, which has a negative point charge - Q. Let the distance from any corner to the center of the cube be r. What is the magnitude and direction of the of electric field at the center of the cube (point P)?