HW__3_P213_S08

# HW__3_P213_S08 - Physics 213 Read: Homework #3 Spring 2008...

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Physics 213 Homework #3 Spring 2008 Read: Chapter 22, section 22.5; Chapter 25, intro., sections 25.1, 2, 3, and 6 Chapter 23, sections 23.1 (thru mid of p. 782), 23.2 (thru p. 791, not Ex. 23.3), 23.5 (all) Handouts: Conductors in Electrostatic Equilibrium ; For study: Chap. 22: Q's #Q22.10, 11, 12, 14, 15, 16, 17 E's & P's #22.19, 31, 37, 43, 44, 49 Chap. 25: Q's #Q25.1, 2, 3, 9, 10, 11, 12, 13 E's & P's #25.3, 8, 17, 27 Chap. 23: Q's #Q23.5, 7, 10, 12, 13, 17, 20 To be prepared for Wednesday-Friday, Feb. 13, ± , 15, at your 2nd weekly recitation session: #22.31 [Charge in Metal Hollow] #22.38 [Line Charge & Hollow Conducting Tube] #22.42 [Sphere in a Sphere] #22.51 [Charged Conducting Plate] #25.61 [E-fields in a Wire] #1. [Thunderstorm Electric Fields] A simple model for the electric charges in a thunderstorm is shown at the right: two spherically symmetric regions of equal and opposite charge +Q = 40 C and -Q = –40 C above one another at heights H = 5.0 km and 2H = 10.0 km above the ground. To determine the electric field here, we must remember that the ground is a conductor, so there will be induced charges on the ground surface. To account for these we can use the Method of Image Charges discussed in lecture. The image charge configuration is shown below. The electric field due to this charge configuration in the region above the ground plane is identical to the field above the ground due to the real charges + the real induced charges on the ground. (a) Write an algebraic expression for the electric field E(x) at any point P just outside the ground as a function of the distance x from the point on the ground directly under the thunderstorm charges. What is the direction of this field? What does this expression for E(x) simplify to at x = 0? Does this simplified result make sense? [HINT:

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## This note was uploaded on 09/09/2008 for the course PHYS 2213 taught by Professor Perelstein,m during the Spring '07 term at Cornell.

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HW__3_P213_S08 - Physics 213 Read: Homework #3 Spring 2008...

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