The electric field along the axis of a uniformly charged disk of radius R and total...
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...
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...
In Example 24.6, we found that the electric field of a charged disk approaches that of a charged particle for distances y that are large compared to R, the radius of the disk. To see a numerical instance of this, calculate the magnitude of the electric field a distance y = 3.1 m from a disk of radius R = 3.1 cm that has a total charge of 6.8 µC using the exact formula as follows. (Enter your answer to...
help A,B and C..thx 2. A disk of radius R is uniformly charged with total charge Q. A. Find an expression for an electric field at a point, x, along the axis perpendicular to the disk. B. Verify that the limit x >>R gives the expected result. C. Find an expression for the limit of an infinitely charged plane.
Using the form for the electric field of a uniformly charged disk of radius R, determine the far field limit of the electric field at a point on the central axis.
Noles Ask Your T the electric fiold of a charged disk approaches that of a charged particle for distances y that are large compared to R, the radius of the disk. To see a magnitude of the electric field a distance y·3.7 m from a disk of radius R , 3.7 crn that has a total charge of ,,C udng the exact form as follows. (Enter your answer to at least one decimal place.) 4798 76x NIC Then calculate the...
At what distance along the central axis of a uniformly charged plastic disk of radius R- 0.765 m is the magnitude of the electric field equal to 1/9 times the magnitude of the field at the center of the surface of the disk?
For the next six problems, consider a uniformly charged disk of radius R. The total charge on the disk is Q. To find the electric potential and field at a point P (x>0) on the x-axis which is perpendicular to the disk with the origin at the center of the disk, it is necessary to consider the contribution from an infinitesimally thin ring of radius a and width da on the disk, as shown. What is the surface charge density...
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk, at a point P at distance 4.60R from the disk (see Figure (a)). Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/4.60 (see Figure (b)). Assume that the ring will have the same surface charge...
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"...