Answered: What are (a) the charge and (b) the…

What are (a) the charge and (b) the charge density on the surface of a conducting sphere of radius 0.16 m whose potential is 300 V (with V = 0 at infinity)? (a) Number Units (b) Number Units

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 100AP: A point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of...

See similar textbooks

Related questions

Q: A value of electric potential in a particular point in space is 1200 J/C. If the magnitude of the…

A: Given : V = 1200 J/C q = 8 nC = 8 × 10-9 C

Q: The following point charges are placed on the x-axis: +2.0 uC at x =20 cm, 3.0 uC at x =30 cm, 4.0…

A: Given: The distance of charge q1=2 μC from x=0 is r1=20 cm. The distance of charge q2=3 μC from x=0…

Q: A conducting sphere of radius 3.25 cm has a total charge of 4.5 x 10-9 C distributed uniformly on…

Q: The electric potential Vx, y, z) in a region of space is given by V(x, y, z) = Vo (2x^2 - 3y^2 - z^2…

Q: What is the excess charge on a conducting sphere of radius r 0.15 m if the potential of the sphere…

Q: a conducting sphere of radius 3.25 cm has a total charge of 4.50x10-9C distributed uniformly on its…

A: Given data: Radius of conducting sphere is, R=3.25 cm=3.25×10-2 m. Surface charge distribution is,…

Q: A charge of uniform density (29 nC/m) is distributed along the x axis from the origin to the point…

A: The change in electric potential can be expressed as follows,

Q: A uniformly charged insulating rod of length 6n cm is bent into the shape of a semicircie. The rod…

A: Dear student The electric potential at the center of a semicircular ring is given by: V = KqR Here K…

Q: The potential in a region between x = 0 and x = 6.00 m is V= a + bx, where a = 10.0 V and b = -7.00…

Q: -9 A conducting sphere of radius 3.25cm has a total charge of 4.50x10 C distributed uniformly on its…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: adius 3.25 cm and length 5.6 cm has a total charge of 5.5 x 10-9 C distributed uniformly on its…

A: We know that the formula of the Electric potential is given as V = λ2πε0lnrR ------------ eq1…

Q: Given that the electric potential (in units of volts) in a region in space is given as V(xy.z) =…

A: REcall E=-∇V And Ex=-∂V/∂x

Q: Given that the electric potential (in units of volts) in a region in space is given as V(x,y,z) =…

Q: Two parallel conducting plates are separated by 1.0 mm and carry equal but opposite surface charge…

Q: A plastic rod has been bent into a circle of radius R = 6.00 cm. It has a charge Q=+100.0 pC…

A: Let Q1 and Q2 denotes the charge on the plastic, dQ denotes a small charge segment, R denotes the…

Q: An electron starts from rest 3.00 cm from the center of a uniformly charged insulating sphere of…

Q: A solid conducting sphere of radius 30 cm has a charge of 4 uC. If the potential is zero at…

A: The radius r=30cm The charge =4uc

Q: A CD disk of radius ( R = 3.0 cm ) is sprayed with a charged paint so that the charge varies…

A: Given:Radius of the disk R = 0.03 mcharge density of the diskσ = -(6.0 c/m)rRDistance above the…

Q: In a certain region of space the electric field is uniform and given by E⃗ =(5.00×10^2 V/m)iˆ. If…

A: E = (5.00 x 102) i

Q: Charge of a uniform linear density 1.0 nC/m is distributed along the x axis from x 0 to x= 3 m.…

A: Linear charge density (λ) = 1 nCm xi = 0 m xf = 3 m x' = 4 m

Q: A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. What…

A: Given data: Radius of the sphere, r=5 cm Potential on the surface, Vsurface=10 V

Q: A particle carrying 3.00 nC of positive charge is at the origin of a rectangular coordinate system,…

A: In this question we need to first calculate electrostatic potential (scaler quantity) at mid point…

Q: Awire having a uniform linear charge density A=3 nC/m, is bent into the shape shown in the figure.…

Q: The electric potential in a certain region of space is given by V(x,y,z)=αx2y+βy2z, where α=364 V/m3…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x,y,z) =…

Q: A solid conducting sphere of radius 30 cm has a charge of 4 µC. If the potential is zero at…

A: Given: Radius R=30 cm=30×10-2 m Charge q=4 μC=4×10-6 C Standard data used: Electrostatic constant…

Q: For a point charge, the equipotential surfaces form concentric spheres with the charge at the…

A: The given data are: V1=158.2 VV2=61.2 Vr=2.9 m Here, V1 denotes the potential of the first surface,…

Q: Q.1: Point charges q1(-4.0µC), q2(3.0µC), q3(-2.0µC) and q4(5.0µC) are placed on a line with equal…

A: Given data: The charges are, q1=-4 μCq2=3 μCq3=-2 μCq4=5 μC The distance are, d1=8 cm=0.08 md2=6…

Q: The potential in a region between x= 0 and x = 6.00 m is V = a + bx, where a Determine (a) the…

A: Given Electric potential at x is. V(x) = 10 - 7x volts. And E = dV/dX

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 6x3…

A: Option D is the right answer D. -79.38 V/m

Q: If the electric potential is given by V(x, y) = (12 V/m2) x2 + (3 V/m) y determine the magnitude of…

Q: A total electric charge of 3.50 nC is distributed uniformly over the surface of a metal sphere with…

Q: A solid conducting sphere of radius 5.00 cm carries a net charge. To find the value of the charge,…

A: We know that the Potential due to the solid sphere is given by We know that the formula of the…

Q: If the potential in a certain region is given by V =x y2 + x?y. The magnitude of the electric field…

Q: A plastic rod has been bent into a circle of radius R= 6.00 cm. It has a charge Q=+100.0 pC…

Q: A 5-cm radius conducting sphere has a surface charge density of 2 x106 C/m? on its surface. Its…

Q: A charge of uniform density (29 nC/m) is distributed along the x axis from the origin to the point x…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 11x³…

A: Option A is the right answer A. -145.53 V/m

Q: If the electric potential along the x-axis is V = 300 x2 V, where x is in meters, what is Ex at x =…

Q: If the electric field is zero throughout a certain region of space, is the potential necessarily…

A: Required : If the electric field is zero throughout a certain region of space, is the potential…

Q: Suppose that the electric potential ? in a certain region is given by V=Ax2−Bx+C where A=2.15…

A: V = Ax2 - Bx + C A = 2.15 Vm2B = 3.65 V/mC = 7.55 V

Q: A total electric charge of Q = 6 × 10- C is distributed uniformly over the surface of a metal sphere…

A: Given: The value of the charge is 6×10-9 C. The radius of the sphere is 6 cm. To…

Q: If the electric potential in a region is given by V(x) = 2/x³, the x component of the electric field…

Q: In a region where there is a uniform electric field, the potential, V1, is 1.3 V at position y1=26…

Q: When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system…

Q: An isolated conducting sphere of radius r1= 0.20m is at a potential of -2000V, with charge Qo. The…

A: there are 5 parts in above question we have to solve all of them and solution of these parts given…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

What are (a) the charge and (b) the charge density on the surface of a conducting sphere of radius 0.16 m whose potential is 300 V (with V = 0 at infinity)?
(a) Number
Units
(b) Number
Units

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The three charged particles in Figure P20.11 are at the vertices of an isosceles triangle (where d = 2.00 cm). Taking q = 7.00 C, calculate the electric potential at point A, the midpoint of the base. Figure P20.11
A point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of inner radius 6.0 cm and outer radius 9.0 cm. Find the electric potential at (a) r = 4,0cm, (b) r = 8.0 cm, (c) r — 12.0 cm.
A small spherical pith ball of radius 0.50 cm is painted with a silver paint and then -10 C of charge is placed on it. The charged pith ball is put at the center of a gold spherical shell of inner radius 2.0 cm and outer radius 2.2 cm. (a) Find the electric potential of the gold shell with respect to zero potential at infinity, (b) How much charge should you put on the gold shell if you want to make its potential 100 V?
The dielectric to be used in a parallel-plate capacitor has a dielectric constant of 3.60 and a dielectric strength of 1.60107 V/m. The capacitor has to have a capacitance of 1.25 nF and must be able to withstand a maximum potential difference 5.5 kV. What is the minimum area the plates of the capacitor may have?
Four particles are positioned on the rim of a circle. The charges on the particles are +0.500 C, +1.50 C, 1.00 C, and 0.500 C. If the electric potential at the center of the circle due to the +0.500 C charge alone is 4.50 104 V, what is the total electric potential at the center due to the four charges? (a) 18.0 104 V (b) 4.50 104 V (c) 0 (d) 4.50 104 V (e) 9.00 104 V
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?
The three charged particles in Figure P25.22 are at the vertices of an isosceles triangle (where d = 2.00 cm). Taking q = 7.00 C, calculate the electric potential at point A, the midpoint of the base.
Two large charged plates of charge density 30C/m2 face each other at a separation of 5.0 mm. (a) Find the electric potential everywhere, (b) An electron is released from rest at the negative plate; with what speed will it strike the positive plate?
A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown in Figure P20.29. The rod has a total charge of 7.50 C. Find the electric potential at O, the center of the semicircle. Figure P20.29
The electric potential inside a charged spherical conductor of radius R is given by V = keQ/R, and the potential outside is given by V = keQ/R, Using Er = dV/dr, derive the electric field (a) inside and (b) outside this charge distribution.
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.
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?