Part A A point charge of magnitude q is at the center of a cube with sides of length L. What is the electric flux through each of the six faces of the cube? Use €o for the permittivity of free space (not the EMF symbol Eo ). • View Available Hint(s) ΑΣφ Part B

Part A A point charge of magnitude q is at the center of a cube with sides of length L. What is the electric flux through each of the six faces of the cube? Use €o for the permittivity of free space (not the EMF symbol Eo ). • View Available Hint(s) ΑΣφ Part B

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 76P: Two point charges, q1=2.0107C and q2=6.0108C , are held 25.0 cm apart. (a) What is the electric...

See similar textbooks

Similar questions

Consider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed uniformly throughout its volume. (a) is the electric force exerted on an electron when it is 3.01015 m from the center of the nucleus? (b) What is the acceleration of the electron at this point?
Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2 , respectively. They are separated at center-to-center distance a (see below). Find the electric field at point P located at a distance r from the center of sphere 1 and is in the direction from the line joining the two spheres assuming their charge densities are not affected by the presence of the other sphere. (Hint: Work one sphere at a time and use the superposition principle.)
A long cylinder of copper of radius 3 cm is charged so that it has a uniform charge per unit length on its surface of 3 C/m. (a) Find the electric field inside and outside the cylinder. (b) Draw electric field lines in a plane perpendicular to the rod.
Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300 cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.
Consider an electric field that is uniform in direction throughout a certain volume. Can it be uniform in magnitude? Must it be uniform in magnitude? Answer these questions (a) assuming the volume is filled with an insulating material carrying charge described by a volume charge density and (b) assuming the volume is empty space. State reasoning to prove your answers.
A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit length on its surface of . (a) Find the electric field inside and outside the cylinder. (b) Plot electric field as a function of distance from the center of the rod.
A sold sphere 20 cm in radus carries 14 pC, dibuted unity throughout ts volume. Find the electric field strength 10 cm from the show's Express your answer using two significant figures AZ O B₁- Submit Part B Subm Bequent Find the field angh 20 cm from the spe Express your answer using two significant figures. Part C AL A Fedtd amergh ces to the s Express your newer using two signant ? At ? MN/C MN/C MN/C
The fgure shows the electrc feld ines between two large parallet plates with charge densities a and -a The electric Seld is uniform in the space between the plates. Point A is right below point B, and point Cis to the left of point B. Which statement is correct? Ignore the gravitational force. Ata Plates Click here for PDF version Oa The upper plate is positive and the lower plate is negative Ob Aproton at A would experience the same force if it were placed at C Oc A proton at A experiences a greater force than if it were placed at B Od. Aproton at A experiences less force than if it were placed at C
sub The Superposition Principle HMDSence .com Sample Problem B Consider three point charges at the corners of a triangle, as shown below, where q, -6.00 x 10- C, =-2.00 x 10- C, and q,=5.00 x 10 C. Find the magnitude and direction of the resultant force on q- %3D O ANALYZE Define the problem, and Identify the known variables. 9,=+6.00 x 10-9C 1=-2.00 x 10-9C 4,=+5.00 x 10-°C 21= 3.00 m F32 4.00 m a=5.00 m 0=37.0 Given:
I Review | Constants A hollow, conducting sphere with an outer radius of 0.260 m and an inner radius of 0.200 m has a uniform surface charge density of +6.17 x 10-6 C/m². A charge of -0.900 µC is Part A now introduced into the cavity inside the sphere. What is the new charge density on the outside of the sphere? Express your answer with the appropriate units. ? 2. Value C/m² O = Submit Request Answer Part B Calculate the strength of the electric field just outside the sphere. Express your answer with the appropriate units. ? HA Value N/C E = Submit Request Answer Part C What is the electric flux through a spherical surface just inside the inner surface of the sphere? Express your answer with the appropriate units. HA ? Value N•m² /C Submit Request Answer
C. The Gaussian cylinder encloses opposite charges of equal magnitude. (The charges are on the axis of the cylinder and equidistant from the center.) • Find the sign of the flux through: 40d Surface A: Surface B: Surface C: • Is the net flux through the Gaussian surface positive, negative, or zero?
QUESTION 6 Problem Using the method of integration, what is the electric field of a uniformly charged thin circular plate (with radius Rand total charge Q) at xo distance from its center? (Consider that the surface of the plate lies in the yz plane) Solution A perfect approach to this is to first obtain the E-field produced by an infinitesimal charge component of the charge Q. There will be several approaches to do this, but the most familiar to us is to obtain a very small shape that could easily represent our circular plane. That shape would be a ring. So for a ring whose charge is q. we recall that the electric field it produces at distance x0 is given by E= (1/ Mx0qV 242) Since, the actual ring (whose charge is dg) we will be dealing with is an infinitesimal part of the circular plane, then, its infinitesimal electric field contribution is expressed as = (1/ Xx0 2. We wish to obtain the complete electric field contribution from the above equation, so we integrate it from 0 toR to…