1. The potential at the surface of a 15 cm radius sphere is 5.5 kV. Assuming...
1. The potential at the surface of a 15 cm radius sphere is 5.5 kV. Assuming the charge is distributed uniformly, what is the sphere’s total charge?
2. Two points, 20 cm apart, lie in an electric field where a line joining the points would be parallel to the field. If the potential difference between those point sin 960 V, what is the field strength?
3. A charge Q is placed at the origin. Point A is on the x-axis a distance R away and point B is also on the x-axis 35 cm past point A. If the potentials at these points are VA = 310 V and VB = 120 V, what is Q and R?
4. A thin spherical shell has radius 25 cm and a charge 8 nC distributed uniformly over its surface. What is the potential at the center of the sphere?
5. A charge Q lies at the axis and a charge -4Q at x = a. Find two points on the x-axis where the potential V is zero.
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1. The potential at the surface of a
15 cm radius sphere is 5.5 kV. Assuming...
The potential at the surface of a 20 cm -radius sphere is 4.0 kV . What...
The potential at the surface of a 20 cm -radius sphere is 4.0 kV . What is the charge on the sphere, assuming it's distributed in a spherically symmetric way?
A charge, q, is uniformly distributed through a sphere of radius R. Surrounding the sphere is...
A charge, q, is uniformly distributed through a sphere of radius R. Surrounding the sphere is a conducting shell having inner radius 2R and outer radius 3R. The shell has a charge of -4q placed on it. a. What is the electric field and electric potential, relative to V = 0 at infinity at r for r > 3R? b. What is the electric field and electric potential at r for 3R > r > 2R? c. What is the...
A solid conducting sphere of radius 3.2 cm has a charge of 29 nC distributed uniformly...
A solid conducting sphere of radius 3.2 cm has a charge of 29 nC distributed uniformly over its surface. Let A be a point 1.3 cm from the center of the sphere, S be a point on the surface of the sphere, and B be a point 6.6 cm from the center of the sphere. What are the electric potential differences (a)VS – VB and (b)VA – VB?
An infinitely long solid insulating cylinder of radius a = 5.5 cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 5.5 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density rho = 25 mu C/m^3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.4 cm, and outer radius c = 17.4 cm. The conducting shell has a linear charge density lambda = -0.42 mu C/m. 1) What is E_y(R), the y-component of...
Charge is spread uniformly over the surface of a sphere of radius R. The potential at...
Charge is spread uniformly over the surface of a sphere of radius R. The potential at the sphere's center is V. Find an expression for the net charge Q on the sphere. Express your answer in terms of the variables R, V, and the Coulomb's constant k.
A charge of 10.0 pC is distributed uniformly on a spherical surface (radius = 2.0 cm),...
A charge of 10.0 pC is distributed uniformly on a spherical surface (radius = 2.0 cm), and a second point charge of -10.0 PC is located at the center of the sphere. Determine the magnitude of the electric field a) 5.0 cm from the center of the sphere. b) 1.0 cm from the center of the sphere. c) What is the potential difference between two points mentioned in parts (a) and (b)?
Consider a uniformly-charged sphere of radius 70 cm. The magnitude of the electric field outside of...
Consider a uniformly-charged sphere of radius 70 cm. The magnitude of the electric field outside of the sphere everywhere at a distance 10 cm from the sphere’s surface is 855 N/C, and points radially toward the center of the sphere. a) Use Gauss’s law to find the net charge within the sphere’s surface. Draw a figure showing the necessary information, and indicate your solution steps. b) Use Gauss’s law to find the electric field at a distance 35 cm from...
(a) A conducting sphere of radius R has total charge Q, which is distributed uniformly on its surface.
1) (a) A conducting sphere of radius R has total charge Q, which is distributed uniformly on its surface. Using Gauss's law, find the electric field at a point outside the sphere at a distance r from its center, i.e. with r > R, and also at a point inside the sphere, i.e. with r < R. (b) A charged rod with length L lies along the z-axis from x= 0 to x = L and has linear charge density λ(x)...
Charge Q = +4.00 μC is distributed uniformly over the volume of an insulating sphere that...
Charge Q = +4.00 μC is distributed uniformly over the volume of an insulating sphere that has radius R = 5.00 cm. What is the potential difference between the center of the sphere, V(0) and the surface of the sphere, V(R)? Solve by finding the E-field inside the insulating sphere using Gauss law, and then find the potential difference.
2. +-/0.55 points Tipler6 23.P040 +10-6 C is uniformly distributed on a spherical shell of radius 18 cm. (a) What is the magnitude of the electric field just outside and just inside the shell? A c...
2. +-/0.55 points Tipler6 23.P040 +10-6 C is uniformly distributed on a spherical shell of radius 18 cm. (a) What is the magnitude of the electric field just outside and just inside the shell? A charge of q kV/m (outside) kV/m (inside) (b) What is the magnitude of the electric potential just outside and just inside the shell? V (outside) V (inside) (c) What is the electric potential at the center of the shell? What is the electric field at...
An infinitely long solid insulating cylinder of radius a = 5.5 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density rho = 25 mu C/m^3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.4 cm, and outer radius c = 17.4 cm. The conducting shell has a linear charge density lambda = -0.42 mu C/m. 1) What is E_y(R), the y-component of...
A charge of 10.0 pC is distributed uniformly on a spherical surface (radius = 2.0 cm), and a second point charge of -10.0 PC is located at the center of the sphere. Determine the magnitude of the electric field a) 5.0 cm from the center of the sphere. b) 1.0 cm from the center of the sphere. c) What is the potential difference between two points mentioned in parts (a) and (b)?
2. +-/0.55 points Tipler6 23.P040 +10-6 C is uniformly distributed on a spherical shell of radius 18 cm. (a) What is the magnitude of the electric field just outside and just inside the shell? A charge of q kV/m (outside) kV/m (inside) (b) What is the magnitude of the electric potential just outside and just inside the shell? V (outside) V (inside) (c) What is the electric potential at the center of the shell? What is the electric field at...
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