Q. 26

Expert-verifiedFound in: Page 654

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

Two diameter disks face each other, apart. They are charged to .

a. What is the electric field strength between the disks?

b. A proton is shot from the negative disk toward the positive disk. What launch speed must the proton have to just barely reach the positive disk?

a. The electric field strength between the disks is

b. The proton has launch speed of to reach the positive disk

__Given__ :

Two disks of diameter each :

Distance between disks :

They are charged to :

__Theory used__ :

gives the __electric field inside the capacitor.__

Where denotes the disk's surface area. The charge on the disk is The conservation of energy law states that

, where

initial kinetic energy

= initial potential energy

= final kinetic energy

final potential energy

(a) Using the equation , we have :

(b) The proton's velocity when it hits the capacitor's positive disk is.

So applying conservation of energy to find the initial velocity of proton :

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