Explanation 1) Concept The electric potential at a point is defined as the amount of work done in moving a unit positive charge from infinity to that point against electric forces. 2) Formulae i. Electric field due to an infinite charged plane sheet E = σ 2 ε 0 σ is surface charge density ε 0 is the free space permittivity, 8.85 × 1 0 - 12 C 2 / N . m 2 ii. The electric potential difference between two points A and B in a non-uniform electric field is ∆ V = - ∫ A B E d s iii. Potential difference interms of work done (W) in moving a charge (q) from a point A to a point B is V B - V A = - W q 3) Given Surface charge density on sheet, σ = +5.80 pC/m 2 Charge on the particle, q= +1.60 x 10 -19 C Distance of the point from the sheet, r= 3.56 cm 4) Calculations (a) The work done by the electric field is, W= -q ∆ V W= q ∫ A B E d s -----------------------------------(1) V=0 at infinity Electric field due to an infinite charged plane sheet E = σ 2 ε 0 ---------------------------------------------(2) Substituting (2) in (1), we get W= q σ 2 ε 0 ∫ o d d s =q σ d 2 ε 0 ----------------------------------------------(1) Substituting the values of q, σ , d and ε 0 , we get = ( 1

Fundamentals Of Physics 11th Edition Loose-leaf Print Companion Volume 2 With Wileyplus Card Set

11th Edition

ISBN: 9781119463252

Author: David Halliday

Publisher: John Wiley and Sons

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Chapter 24, Problem 9P

To determine

To find:

(a) amount of work is done by the electric field due to the sheet if a particle is moved from the sheet to a point P.

(b) V at P if the electric potential V is defined to be zero on the sheet

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Chapter 24, Problem 8P

Chapter 24, Problem 10P

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Chapter 24 Solutions

Fundamentals Of Physics 11th Edition Loose-leaf Print Companion Volume 2 With Wileyplus Card Set

Ch. 24 - Figure 24-24 shows eight particles that form a...Ch. 24 - Figure 24-25 shows three sets of cross sections of...Ch. 24 - Figure 24-26 shows four pairs of charged...Ch. 24 - Figure 24-27 gives the electric potential V as a...Ch. 24 - Figure 24-28 shows three paths along which we can...Ch. 24 - Figure 24-29 shows four arrangement? of charged...Ch. 24 - Figure 24-30 shows a system of three charged...Ch. 24 - In the situation of Question 7, is the work done...Ch. 24 - Figure 24-26 shows four pairs of charged particles...Ch. 24 - a In Fig. 24-31a, what is the potential at point P...

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(a) amount of work is done by the electric field due to the sheet if a particle is moved from the sheet to a point P. (b) V at P if the electric potential V is defined to be zero on the sheet

To find: (a) amount of work is done by the electric field due to the sheet if a particle is moved from the sheet to a point P. (b) V at P if the electric potential V is defined to be zero on the sheet

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Chapter 24 Solutions

To find:

(a) amount of work is done by the electric field due to the sheet if a particle is moved from the sheet to a point P.

(b) V at P if the electric potential V is defined to be zero on the sheet