HPHY 253 Homework 33a Complex Numbers Dr. A. E. Bak Name
1. Express the following complex numbers in both rectangular and polar form. 1 (a) ; 1+i 3+i (b) ; 2+i <2 . (c) i ;
4
(d) (1 + 2i) ;
3
(e)
p !50 1+i 3 p p : 2+i 2
Limit the phase range to 0
2. Solve

HPHY 253.02 Exam 02 (take-home) Spring Semester 2009 Dr. A. E. Bak Name
Instructions. For each question, show all work leading to an answer and simplify as much as possible. 1. From Serway & Jewett Problem 25:7. A block having mass m and charge +Q is conn

HPHY 253.02 Exam 02 (take-home) Spring Semester 2009 Dr. A. E. Bak Name
Instructions. For each question, show all work leading to an answer and simplify as much as possible. 1. From Serway & Jewett Problem 25:7. A block having mass m and charge +Q is conn

HPHY 253.02 Exam 03 (take-home) Spring Semester 2009 Dr. A. E. Bak Name
Instructions. For each question, show all work leading to an answer and simplify as much as possible. 1. Serway & Jewett Problem 31:18. A toroid, having a rectangular cross-section (a

HPHY 253.02 Electricity and Magnetism Spring Semester 2009 CRN 41434 Teacher: Dr. Aakhut E. Bak, Dansby Hall 116, [email protected], 404-681-6518 O ce hours: By appointment Class time and location: MWF 10:00 - 10:50, Dansby Hall 130 Textbook: Physics for

HPHY 253 Workout 23 Electric Fields Dr. A. E. Bak Name
1. A 4:50- C particle lies at the location (in m) of (1:00; 4:00) in the xy plane. Find the electric eld that it produces at ( 1:00; 7:00). The source charge here is q= We have r = length vector from

HPHY 253 Workout 24 Gauss Law for Electricity s Dr. A. E. Bak Name
1. Serway & Jewett Problem 24:4. Consider a closed triangular box resting within a horizontal electric eld of magnitude E = 7:80 104 N=C as shown in Figure P 24:4. We take all area vectors

HPHY 253 Workout 25a The Electric Potential Dr. A. E. Bak Name
1. Serway & Jewett Problem 25:13. At a certain distance from a charged particle, the magnitude of the electric eld is 500 V =m and the electric potential is 3:00 k V . (a) What is the distance

HPHY 253 Workout 25b The Relationship between the Electric Field and Potential Dr. A. E. Bak Name
1. Serway & Jewett Problem 25:31. Over a certain region of space, the electric potential is given by V = 5x 3x2 y + 2yz 2 , where all quantities here are mea

HPHY 253 Workout 28a Capacitive and Resistive Networks Dr. A. E. Bak Name
A capacitor is a combination of two conductors, each carrying the same amount Q of charge, but of opposite sign. The potential dierence, between the positive and negative terminals

HPHY 253 Workout 28b Series RC Circuits Dr. A. E. Bak Name
If a capacitor of capacitance C is being charged by a voltage source of electromotance E through a resistor of resistance R, then the capacitor charge Q varies with time according to the relation

HPHY 253 Workout 29 The Magnetic Force Dr. A. E. Bak Name
1. Serway and Jewett Problem 29:1. Determine the initial direction of the deection of charged particles as each enters a region of magnetic eld as shown in Figure P 29:1. It follows from the relati

HPHY 253 Workout 30 The Magnetic Field Dr. A. E. Bak Name
1. Serway & Jewett Problem 30:2. Calculate the magnitude of the magnetic eld at a point 100 cm perpendicularly from an innitely long, thin straight wire carrying a current of 1:00 A. It is convenie

HPHY 253 Workout 31 Faraday Law of Electromagnetic Induction s Dr. A. E. Bak Name
1. Serway & Jewett Problem 31:8. A rectangular wire loop of length L and width w and an innitely long, thin straight wire carrying a current I both lie on a tabletop as show

HPHY 253 Workout 33a Complex Numbers Dr. A. E. Bak Name <2 .
1. Convert the following complex numbers to polar form. Limit the phase range to 0 (a) z = 1 + i. We have jz j = and q [Re (z )] + [Im (z )] = Im (z ) = tan Re (z ) z= as the sought result. p 3

HPHY 253.02 Exam 01 Spring Semester 2009 Dr. A. E. Bak Name
Instructions. For each question, show all work leading to an answer and simplify as much as possible. 1. Measurements indicate that there is an electric eld surrounding Earth. This eld has a magn

HPHY 253 Workout 24 Gauss Law for Electricity s Dr. A. E. Bak Name
1. Serway & Jewett Problem 24:4. Consider a closed triangular box resting within a horizontal electric eld of magnitude E = 7:80 104 N=C as shown in Figure P 24:4. We take all area vectors

HPHY 253 Homework 23b Electric Fields: Distributions of Continuous Charge Dr. A. E. Bak Name
1. Serway & Jewett Problem 23:21. A rod 14:0 cm long is uniformly charged and has a total charge of 22:0 C . Determine the magnitude and direction of the electric

HPHY 253 Homework 24a Gauss Law for Electricity s Dr. A. E. Bak Name
1. Serway & Jewett Problem 24:2. A vertical electric eld of magnitude 2:00 104 N=C exists above Earth surface on a day when a thunderstorm is brewing. A car, with a rectangular cross-sec

HPHY 253 Homework 24b Gauss Law for Electricity: Finding the Electric Field s Dr. A. E. Bak Name
1. Serway & Jewett Problem 24:18. A sphere of radius 40:0 cm has a total charge of +26:0 C uniformly distributed throughout its volume. Calculate the electric

HPHY 253 Homework 25a The Electric Potential Dr. A. E. Bak Name
1. Serway & Jewett Problem 25:5. An electron moving along the x axis has an initial speed of 3:70 106 m=s at the origin. Its speed is reduced to 1:40 105 m=s at the point x = +2:00 cm. Calcul

HPHY 253 Homework 25b The Electric Potential: The Field-Potential Relationship Dr. A. E. Bak Name
1. Serway & Jewett Problem 25:31. Over a certain region of space, the electric potential is given by V = 5x 3x2 y + 2yz 2 , where all quantities here are mea

HPHY 253 Homework 28a Capacitance and Resistance Dr. A. E. Bak Name
1. Serway & Jewett Problem 26:4. Consider Earth and a cloud layer 800 m above it as the platesof a capacitor. Calculate the capacitance of the Earth-cloud layer system, assuming that the

HPHY 253 Homework 28b Direct-Current Circuits Dr. A. E. Bak Name
1. Serway & Jewett Problem 28:16. The ammeter shown in Figure P 28:16 reads 2:00 A. Find I1 , I2 , and E. 2. Serway & Jewett Problem 28:17. Determine the current in each branch of the circui

HPHY 253 Homework 29 Magnetic Forces Dr. A. E. Bak Name
1. Serway & Jewett Problem 29:1. Determine the initial direction of the de ection of charged particles as each enters a region of magnetic eld as shown in Figure P 29:1. 2. In fair weather at the equ

HPHY 253 Homework 30a Magnetic Fields Dr. A. E. Bak Name
1. Serway & Jewett Problem 30:2. Calculate the magnitude of the magnetic eld at a point 100 cm perpendicularly from an innitely long, thin, straight wire carrying a current of 1:00 A. 2. Serway & Je

HPHY 253 Homework 30b Magnetic Fields: Ampre Law s Dr. A. E. Bak Name
1. Serway & Jewett Problem 30:24. A long, thin, straight wire lies on a horizontal table and carries a current of 1:20 A. In a vacuum, a proton moves parallel to the wire (opposite the

HPHY 253 Homework 31a Electromagnetic Induction: Faraday Law s Dr. A. E. Bak Name
1. Serway & Jewett Problem 31:2. A loop of wire consists of a single turn of cross-sectional area at 8:00 cm2 . The loop is perpendicular to a magnetic eld that increases un

HPHY 253 Homework 31b Electromagnetic Induction: Motional Emf Dr. A. E. Bak Name
1. Serway & Jewett Problem 31:20. An automobile has a vertical radio antenna that is 1:20 m long. The automobile travels at 65:0 km=h on a horizontal road where Earth magneti

HPHY 253 Homework 33b Alternating-Current Circuits Dr. A. E. Bak Name
1. Serway & Jewett Problem 33:21. A RLC circuit consists of a 150- resistor, a 21:0- F capacitor, and a 460-mH inductor connected in series with a 120 V , 60:0-Hz power supply. (a) What