Homework Answers
We can find the electric field outside of a uniformly charged nonconducting sphere having a total charge Q by using Gauss law which states that the flux of the net electric field through a closed surface equals the net charge enclosed by the surface divided by ek.
Calculation is as shown below
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P9. In class, we showed that the electric field on the axis of a uniformly charged...
1. A very long, uniformly charged cylinder has radius R and charge density p. Determine the...
1. A very long, uniformly charged cylinder has radius R and charge density \rho. Determine the electric field of this cylinder inside (r<R) and outside (r>R)2. A large, flat, nonconducting surface carries a uniform surface charge density σ. A small circular hole of radius R has been cut in the middle of the sheet. Determine the electric field at a distance z directly above the center of the hole.3. You have a solid, nonconducting sphere that is inside of, and...
ind the electric field at a point on the axis of a uniformly charged washer with...
ind the electric field at a point on the axis of a uniformly charged washer with an inside radius of Ri and an outside radius of Ro. The charge density is σ.
The total electric field at a point on the axis of a uniformly charged disk, which...
The total electric field at a point on the axis of a uniformly charged disk, which has a radius R and a uniform charge density of σ, is given by the following expression, where x is the distance of the point from the disk. (R2 + x2)1/2 Consider a disk of radius R-3.18 cm having a uniformly distributed charge of +4.83 C. (a) Using the expression above, compute the electric field at a point on the axis and 3.12 mm...
2.1 In this problem we find the electric field on the axis of a cylindrical shell...
2.1 In this problem we find the electric field on the axis of a
cylindrical shell of radius R and height h when the cylinder is
uniformly charged with surface charge density . The axis of the
cylinder is set on the z-axis and the bottom of the cylinder is set
z = 0 and top z = h. We designate the point P where we measure the
electric field to be z = z0. (See figure.) You will use...
A non-uniformly charged sphere of radius R has a total charge Q. The electric field inside...
A non-uniformly charged sphere of radius R has a total charge Q. The electric field inside this charge distribution is described by E=Emax(r4 /R4 ), where Emax is a known constant. Using the differential form of Gauss’s law, find volume charge density as a function of r. Express your result in terms of r, R and Emax.
The total electric field at a point on the axis of a uniformly charged disk, which...
The total electric field at a point on the axis of a uniformly charged disk, which has a radius R and a uniform charge density of σ, is given by the following expression, where x is the distance of the point from the disk. (R2 + x2)1/2 Consider a disk of radius R-3.27 cm having a uniformly distributed charge of +5.18 C. (a) Using the expression above, compute the electric field at a point on the axis and 3.30 mm...
Determine the magnitude of the electric field a distance of 10 cm from a uniformly charged...
Determine the magnitude of the electric field a distance of 10 cm from a uniformly charged sphere of radius 13 cm that carries a total charge of 36 uC. Use the result from above to find the potential difference between the center of the sphere and r = 10 cm.
1.4.2 Electric field of a uniformly charged hoop Our goal here will be to find the...
1.4.2 Electric field of a uniformly charged hoop Our goal here will be to find the electric field of a uniformly charged (thin) hoop. Our hoop has a charge Q uniformly distributed over a hoop with radius R, and is oriented perpendicular to the plane of the paper. We are interested in finding the electric field at the point P, a distance r away from the center of the hoop. See the figure below. do In your answers below, you...
(1) Consider a very long uniformly charged cylinder with volume charge density p and radius R...
(1) Consider a very long uniformly charged cylinder with volume charge density p and radius R (we can consider the cylinder as infinitely long). Use Gauss's law to find the electric field produced inside and outside the cylinder. Check that the electric field that you calculate inside and outside the cylinder takes the same value at a distance R from the symmetry axis of the cylinder (on the surface of the cylinder) .
1.) Consider a spherical shell of radius R uniformly charged with a total charge of -Q....
1.) Consider a spherical shell of radius R uniformly charged with a total charge of -Q. Starting at the surface of the shell going outwards, there is a uniform distribution of positive charge in a space such that the electric field at R+h vanishes, where R>>h. What is the positive charge density? Hint: We can use a binomial expansion approximation to find volume: (R + r)" = R" (1 + rR-')" ~R" (1 + nrR-1) or (R + r)" =R"...
ind the electric field at a point on the axis of a uniformly charged washer with an inside radius of Ri and an outside radius of Ro. The charge density is σ.
The total electric field at a point on the axis of a uniformly charged disk, which has a radius R and a uniform charge density of σ, is given by the following expression, where x is the distance of the point from the disk. (R2 + x2)1/2 Consider a disk of radius R-3.18 cm having a uniformly distributed charge of +4.83 C. (a) Using the expression above, compute the electric field at a point on the axis and 3.12 mm...
2.1 In this problem we find the electric field on the axis of a
cylindrical shell of radius R and height h when the cylinder is
uniformly charged with surface charge density . The axis of the
cylinder is set on the z-axis and the bottom of the cylinder is set
z = 0 and top z = h. We designate the point P where we measure the
electric field to be z = z0. (See figure.) You will use...
The total electric field at a point on the axis of a uniformly charged disk, which has a radius R and a uniform charge density of σ, is given by the following expression, where x is the distance of the point from the disk. (R2 + x2)1/2 Consider a disk of radius R-3.27 cm having a uniformly distributed charge of +5.18 C. (a) Using the expression above, compute the electric field at a point on the axis and 3.30 mm...
1.4.2 Electric field of a uniformly charged hoop Our goal here will be to find the electric field of a uniformly charged (thin) hoop. Our hoop has a charge Q uniformly distributed over a hoop with radius R, and is oriented perpendicular to the plane of the paper. We are interested in finding the electric field at the point P, a distance r away from the center of the hoop. See the figure below. do In your answers below, you...
1.) Consider a spherical shell of radius R uniformly charged with a total charge of -Q. Starting at the surface of the shell going outwards, there is a uniform distribution of positive charge in a space such that the electric field at R+h vanishes, where R>>h. What is the positive charge density? Hint: We can use a binomial expansion approximation to find volume: (R + r)" = R" (1 + rR-')" ~R" (1 + nrR-1) or (R + r)" =R"...
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