Immediately outside a conducting sphere of unknown charge Q and radius R the electric potential is 240 V, and 10.0 cm further from the sphere, the potential is 120 V. (a) Determine the radius R of the sphere (in cm). cm (b) Determine the charge Q on the sphere (in nC). nC (c) The electric potential immediately outside another charged conducting sphere is 260 V, and 10.0 cm farther from the center the magnitude of the electric field is 390 V/m. Determine the radius (in cm) of any sphere for which this is possible. (Enter your answers from smallest to largest. If only one value exists, enter "NONE" in the second answer blank.) R, = cm R2 cm

Immediately outside a conducting sphere of unknown charge Q and radius R the electric potential is 240 V, and 10.0 cm further from the sphere, the potential is 120 V. (a) Determine the radius R of the sphere (in cm). cm (b) Determine the charge Q on the sphere (in nC). nC (c) The electric potential immediately outside another charged conducting sphere is 260 V, and 10.0 cm farther from the center the magnitude of the electric field is 390 V/m. Determine the radius (in cm) of any sphere for which this is possible. (Enter your answers from smallest to largest. If only one value exists, enter "NONE" in the second answer blank.) R, = cm R2 cm

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 16OQ: A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with...

See similar textbooks

Similar questions

Check Your Understanding What is the potential energy of Q relative to the zero reference at infinity at r2 in the above example?
A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with uniform density. At the point P with coordinates (x = 80.0 cm, y = 80.0 cm), this filament creates electric potential 100 V. Now we add another filament along the y axis, running from the origin to y = 80.0 cm, carrying the same amount of charge with the same uniform density. At the same point P, is the electric potential created by the pair of filaments (a) greater than 200 V, (b) 200 V, (c) 100 V, (d) between 0 and 200 V, or (e) 0?
A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with uniform density. At the point P with coordinates (x = 80.0 cm, y = 80.0 cm), this filament creates electric potential 100 V. Now we add another filament along the y axis, running from the origin to y = 80.0 cm. carrying the same amount of charge with the same uniform density. At the same point P, is the electric potential created by the pair of filaments (a) greater than 200 V, (b) 200 V, (c) 100 V, (d) between 0 and 200 V, or (e) 0?
An electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of volts, when x, y, and z are in meters. a. Find an expression for the electric field as a function of position. b. What is the electric field at (2.0 m, 4.5 m, 2.0 m)?
Shown below are two concentric spherical shells of negligible thicknesses and radii R1and R2The inner and outer shell carry net charges q1and q2 respectively where both q1 and q2 positive. What is the electric potential in the regions potential in the regions (a) r R2?
A metallic sphere of radius 2.0 cm is charged with +5.0C charge, which spreads on the surface of the sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic spherical shell, of inner radius 5.0 cm and outer radius 6.0 cm. Now, a charge of 5.0C is placed on the inside of the spherical shell, which spreads out uniformly on the inside surface of the shell. If potential is zero at infinity, what is the potential of (a) the spherical shell, (b) the sphere, (c) the space between the two, (d) inside the sphere, and (e) outside the shell?
(a) Find the electric potential, taking zero at infinity, at the upper right corner (the corner without a charge) of the rectangle in Figure P16.13. (b) Repeat if the 2.00-C charge is replaced with a charge of 2.00 C. Figure P16.13 Problems 13 and 14.
The charge density on a disk of radius R = 12.0 cm is given by = ar, with a = 1.40 C/m3 and r measured radially outward from the origin (Fig. P26.45). What is the electric potential at point A, a distance of 40.0 cm above the disk? Hint: You will need to integrate the nonuniform charge density to find the electric potential. You will find a table of integrals helpful for performing the integration.
An air-filled parallel-plate capacitor with capacitance C0 stores charge Q on plates separated by distance d. The potential difference across the plates is V0 and the energy stored is PEC,0. If the capacitor is disconnected from its voltage source and the space between the plates is then filled with a dielectric of constant = 2.00, evaluate the ratios (a) Cnew/C0, (b) Vnew/V0, and (c) PEC,new/PEC,0.
Three particles with equal positive charges q are at the corners of an equilateral triangle of side a as shown in Figure P20.10. (a) At what point, if any, in the plane of the particles is the electric potential zero? (b) What is the electric potential at the position of one of the particles due to the other two particles in the triangle? Figure P20.10
Two very large metal plates are placed 2.0 cm apart, with a potential difference of 12 V between them. Consider one plate to be at 12 V, and the other at 0 V. (a) Sketch the equipotential surfaces for 0, 4, 8, and 12 V. (b) Next sketch in some electric field lines, and confirm that they are perpendicular to the equipotential lines.
Would electric potential energy be meaningful if the electric field were not conservative?