It is well known that the electric field at a perpendicular distance z from the origin of a circular wire with charge Q and radius r is given by
Hence the electric field at a perpendicular distance z from the origin of a circular disk with charge Q and radius R is given by
where dQ is the charge of the elementary ring of radius r and thickness dr.
Now, in this case, , where is the surface charge density of the disk , i.e., .
Hence
.
Here , , and .
Hence
After drilling the hole of radius R_{0}=0.35 cm, the electric field becomes
since in this case, the area of the disk is
Hence
Find the electric field at a point P due to a 10 × 10^−9C charged disk...
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...
Find the electric field due to a disk at point X, L distance away. Integrate using a ring of charge r distance away from the center. R - Radius - Charge/unit area
Please explain and solve 3 Apl 2019 04) (25 points) The figure shows a non-conducting (thin) disk with a hole. The radius of the disk is Ri and the radius of the hole is R1. A total charge Q is uniformly distributed on its surface electric potential at infinity is zero, what is the el distance x from its center? (20 points) b) Use electric potential to determine the electric field at point P. (S points) . Assuming that the...
What is the electric field due to a ring of charge Q at a point P on the axis of the ring? 6. 7. Find 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.
Tipler6 23.P.085. Along the axis of a uniformly charged disk, at a point 0.6 m from the center of the disk, the potential is 56.9 V and the magnitude of the electric field is 63.2 V/m; at a distance of 1.5 m, the potential is 27.1 V and the magnitude of the electric field is 16.5 V/m. Find the total charge residing on the disk.
Tipler6 23.P.085. Along the axis of a uniformly charged disk, at a point 0.6 m from the center of the disk, the potential is 56.9 V and the magnitude of the electric field is 63.2 V/m; at a distance of 1.5 m, the potential is 27.1 V and the magnitude of the electric field is 16.5 V/m. Find the total charge residing on the disk.
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...
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 2.00R from the dis (see Figure (a)). Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/2.00 (see Figure (b)). Assume that the ring will have the same surface charge...