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If the magnitude of the electric field in air exceeds roughly3106N3, the air break down and a spark forms. For a two-disk capacitor of radius 51 cm with a gap of 2 mm, if the electric field inside is just high enough that a spark occurs, what is the strength of the fringe field just outside the center of the capacitor?

Short Answer

Expert verified

The electric field strength of fringe outside the centre of capacitor is3106N/C .

Step by step solution

01

Identification of given data

The given data can be listed below,

  • The magnitude of electric field of air is,E=qA0=3106N/C
  • The radius of disk isR=51cm1m100cm
  • The gap between two plates is,r=2mm1m1000mM
02

Concept/Significance of capacitor

the capacitor has an insulator (dielectric) inside it that prevents any charge flow through itself, so the two faces of the dielectric get charged when you charge the capacitor.

03

Determination of the electric field strength of fringe outside the center of capacitor

The electric field of fringe is given by.

The electric field on the capacitor is given by,

E=q2A0rR

Here, q is the charge on the disk, A is the area of disk, r is the distance between two disks and0is the permittivity of free space.

Substitute all the values in the above equation,

Efringe=123106N/C210-3m0.51m=5.88103C

Thus, the electric field strength of fringe outside the centre of capacitor is 3106N/C.

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Most popular questions from this chapter

Two rings of radius 5cmare 20cmapart and concentric with a common horizontal axis. The ring on the left carries a uniformly distributed charge of +35nC, and the ring on the right carries a uniformly distributed charge of -35nC. (a) What are the magnitude and direction of the electric field on the axis, halfway between the two rings? (b) If a charge of-5nCwere placed midway between the rings, what would be the magnitude and direction of the force exerted on this charge by the rings? (c) What are the magnitude and direction of the electric field midway between the rings if both rings carry a charge of +35nC?

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Explain qualitatively how it is possible for the electric field at locations near the center of a uniformly charged disk not to vary with distance away from the disk.

What is wrong with Figure 15.35 and this associated incorrect student explanation? 鈥淭he electric field at location inside the uniformly charged sphere points in the direction shown, because the charges closest to this location have the largest effect.鈥 (Spheres provide the most common exception to the normally useful rule that the nearest charges usually make the largest contribution to the electric field.)

In Figure 15.61 are two uniformly charged disks of radius R that are very close to each other (gap鈮猂). The disk on the left has a charge of鈭Qleftand the disk on the right has a charge of +Qright(Qrightis greater thanQleft). A uniformly charged thin rod of length L lies at the edge of the disks, parallel to the axis of the disks and cantered on the gap. The rod has a charge of +Qrod.

(a) Calculate the magnitude and direction of the electric field at the point marked 脳 at the center of the gap region, and explain briefly, including showing the electric field on a diagram. Your results must not contain any symbols other than the given quantities R,Qleft, Qright, L, andQrod(and fundamental constants), unless you define intermediate results in terms of the given quantities. (b) If an electron is placed at the center of the gap region, what are the magnitude and direction of the electric force that acts on the electron?

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