Question: Pls explain how we get the answer as clear as possible. Thx you so much ?? Chapter 21 - 11: Q : Consider an infinite

Pls explain how we get the answer as clear as possible. Thx you so much ??

Pls explain how we get the answer as clear as possible. Thx

Chapter 21 - 11: Q : Consider an infinite flat sheet with positive charge density o in which a circular hole of radius R has been cut out . The sheet lies in the my-plane with the origin at the center of the hole The sheet is parallel to the ground, so that the positive 8-axis describes the "upward" direction . If a particle of mass in and negative charge -q sits at rest at the center of the hole and is released , the particle constrained to the z-axis , begins to fall . As it drops father beneath the sheet , the upward electric force increases . For a sufficiently low value of m , the upward electrical attraction eventually exceeds the particle's weight and the particle will slow , come to a stop , and then rise back to its original position . This sequence of events will repeat indefinitely. - Part A: What is the z-component of the electrical field at a depth A beneath the origin along the negative z- axis ? ANS . Ez ( A ) = - Part B: What is the maximum mass Mmmax that would prevent the particle from falling indefinitely ? ANS: mmax = - Part C: If me manx , how much work is done by the electric field as the particle drops from z=0 to 2=-A ? ANS: WE = 26. LR- JA'+ R= ] - Part D: In the interval of part, how much work is done by gravity ? ANS: Wg = mg4 - Part E: To what ultimate depth Amax will the particle drop ? ( C = m / m max ) ANS : Amax = - 2 RX 7 - 2 2 - Part F: What is the particle's speed at death As Amax ? ANS: IVIAll = / 294 - 22 5104 RX - R] - Part G: If the sheet has charge density 1.00n C/ am?, the radius of the hole R= 10.0 cm , and the particle has mass 31. 0g and charge - 1.00 UC , what is Mmax ? ANS : Mmax = 57.6g . - Part H: If the sheet has charge density 100 nC / am ' " the radius of the hole is R= 10.0cm , and the particle has mass 310g and change - 1.00 UC, what is Amax ? ANS: Amax = 15.2 cm

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