Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 31, Problem 40P
(a)
To determine
The magnitude of electric field at point
(b)
To determine
The direction of the electric field at point
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Problem 2: An electric current I0.85 A is flowing in a long wire. Consider a
rectangular area with one side parallel to the wire and at a distance 0.043 m away from
the wire. Let the dimensions of the rectangle be a 0.024 m and b-0.057 m
Part (a) Express the magnitude of the magnetic field generated by the wire B at a
distance r in terms of I and r.
B(r)
Но
4 5 6
BACKSPAC
CLEAR
Submit
Hint
I give up!
Hints: 1% deduction per hint. Hints remaining: 3
Feedback: 1% deduction per feedback.
Part (b) Express the magnetic flux, ф, in the rectangle as an integral of B(r)
A Part (c) Integrate the expression in part (b)
圖 Part (d) Calculate the numerical value of φ in T-m2.
An electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J = 2.5 A/m2 is uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB.
Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a, and J.
Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r.
Part (g) Express B in terms of J, a and r.
Part (h) For r = 2 a, calculate the numerical value of B in Tesla.
I already did the first few parts. I am most confused on parts e and g, how to derive the equations. Thanks so much!
Problem 4. A magnetic field directed into the page changes with time according to B = 2.0t³ - 4.0ť² +
3.0, where B is in tesla and t is in seconds. The field has a circular cross section of radius R = 2.5 cm
(see figure below).
(a) When t= 1.00 s and r₁= 5.0 cm, what are the magnitude and the direction of the electric field at point
P₁?
(b)When t = 2.00 s and r2 = 2.0 cm, what are the magnitude and the direction of the electric field at point
P₂?
xxxxx
xxxxx
xxxx** **
xxx
T97
xxx
R
x
xxxxx
******
xxxxx
Bin
n
P₁
Chapter 31 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
Ch. 31.1 - A circular loop of wire is held in a uniform...Ch. 31.2 - QUICK QUIZ 30.2 In Figure 30.8a, a given applied...Ch. 31.3 - Figure 30.12 (Quick Quiz 30.3) QUICK QUIZ 30.3...Ch. 31.5 - Prob. 31.4QQCh. 31.6 - Prob. 31.5QQCh. 31 - Prob. 1OQCh. 31 - Prob. 2OQCh. 31 - Prob. 3OQCh. 31 - Prob. 4OQCh. 31 - Prob. 5OQ
Ch. 31 - Prob. 6OQCh. 31 - Prob. 7OQCh. 31 - Prob. 8OQCh. 31 - Prob. 9OQCh. 31 - Prob. 10OQCh. 31 - Prob. 11OQCh. 31 - Prob. 1CQCh. 31 - Prob. 2CQCh. 31 - Prob. 3CQCh. 31 - Prob. 4CQCh. 31 - Prob. 5CQCh. 31 - Prob. 6CQCh. 31 - Prob. 7CQCh. 31 - Prob. 8CQCh. 31 - Prob. 9CQCh. 31 - Prob. 10CQCh. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Scientific work is currently under way to...Ch. 31 - Prob. 11PCh. 31 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - Prob. 14PCh. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - A coil formed by wrapping 50 turns of wire in the...Ch. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - A small airplane with a wingspan of 14.0 m is...Ch. 31 - A 2.00-m length of wire is held in an eastwest...Ch. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - Prob. 29PCh. 31 - Prob. 30PCh. 31 - Prob. 31PCh. 31 - Prob. 32PCh. 31 - Prob. 33PCh. 31 - Prob. 34PCh. 31 - Prob. 35PCh. 31 - Prob. 36PCh. 31 - Prob. 37PCh. 31 - Prob. 38PCh. 31 - Prob. 39PCh. 31 - Prob. 40PCh. 31 - Prob. 41PCh. 31 - Prob. 42PCh. 31 - Prob. 43PCh. 31 - Prob. 44PCh. 31 - Prob. 45PCh. 31 - Prob. 46PCh. 31 - Prob. 47PCh. 31 - Prob. 48PCh. 31 - The rotating loop in an AC generator is a square...Ch. 31 - Prob. 50PCh. 31 - Prob. 51APCh. 31 - Prob. 52APCh. 31 - Prob. 53APCh. 31 - Prob. 54APCh. 31 - Prob. 55APCh. 31 - Prob. 56APCh. 31 - Prob. 57APCh. 31 - Prob. 58APCh. 31 - Prob. 59APCh. 31 - Prob. 60APCh. 31 - Prob. 61APCh. 31 - Prob. 62APCh. 31 - Prob. 63APCh. 31 - Prob. 64APCh. 31 - Prob. 65APCh. 31 - Prob. 66APCh. 31 - Prob. 67APCh. 31 - A conducting rod moves with a constant velocity in...Ch. 31 - Prob. 69APCh. 31 - Prob. 70APCh. 31 - Prob. 71APCh. 31 - Prob. 72APCh. 31 - Prob. 73APCh. 31 - Prob. 74APCh. 31 - Prob. 75APCh. 31 - Prob. 76APCh. 31 - Prob. 77APCh. 31 - Prob. 78APCh. 31 - Prob. 79CPCh. 31 - Prob. 80CPCh. 31 - Prob. 81CPCh. 31 - Prob. 82CPCh. 31 - Prob. 83CP
Knowledge Booster
Similar questions
- Two infinitely long current-carrying wires run parallel in the xy plane and are each a distance d = 11.0 cm from the y axis (Fig. P30.83). The current in both wires is I = 5.00 A in the negative y direction. a. Draw a sketch of the magnetic field pattern in the xz plane due to the two wires. What is the magnitude of the magnetic field due to the two wires b. at the origin and c. as a function of z along the z axis, at x = y = 0? FIGURE P30.83arrow_forwardA magnetic field directed into the page changes with time according to B = 0.030 0t2 + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see Fig. P23.28). When t = 3.00 s and r2 = 0.020 0 m, what are (a) the magnitude and (b) the direction of the electric field at point P2?arrow_forwardAn electromagnetic wave with a peak magnetic field magnitude of 1.50 107 T has an associated peak electric field of what magnitude? (a) 0.500 1015 N/C (b) 2.00 105 N/C (c) 2.20 104 N/C (d) 45.0 N/C (e) 22.0 N/Carrow_forward
- One common type of cosmic ray is a proton traveling at close to the speed of light. If the proton is traveling downward, as shown in Figure P30.14, at a speed of 1.00 107 m/s, what are the magnitude and direction of the magnetic field at point B?arrow_forwardAn electron in a TV CRT moves with a speed of 6.0107 m/s, in a direction perpendicular to Earth's field, which has a strength of 5.0105 T. (a) What strength electric field must be applied perpendicular to the Earth’s field to make the election moves in a straight line? (b) If this is done between plates separated by 1.00 cm, what is the voltage applied? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a collection,)arrow_forwardAn electric current I = 0.35 A is flowing in an infinitely long wire. Part (a) Write an equation for the magnetic field vector B generated by the current an an arbitrary point in terms of I, the length element dl, and the vector for the distance R from dl to the point. Part (b) If the distance from point A to the wire is a as in the figure, write an equation for the magnitude of the magnetic field |B| generated by the current at A in terms of I and a. Part (c) If a = 0.065 m, calculate the numerical value of B in tesla.arrow_forward
- A vector representing a magnetic field has an x-component of 0.400 T (tesla) and a y-component of 0.162 T.What is the direction (in degrees) of the magnetic field with respect to the positive x-axis?arrow_forwardAn electron has an initial velocity of (11.2 + 16.8 k) km/s, and a constant acceleration of (1.63 x 1012 m/s²) in the positive x direction in a region in which uniform electric and magnetic fields are present. If B = (365 µT)i find the electric field E. i î+ i ! j+ i !nkts N/C or V/marrow_forwardQuestion 3: An equilateral triangle 8.0 cm on a side is in a 5.0 mT uniform magnetic field. The magnetic flux through the triangle is 6.0 μWb. Note that 1 Weber (Wb) is the SI unit for flux and equivalent to T m². What is the angle between the magnetic field and an axis perpendicular to the plane of the triangle?arrow_forward
- An electric field is restricted to a circular area of diameter d = 10.9 cm as shown in the figure. At the instant shown, the field direction is out of the page, its magnitude is 300 V/m, and its magnitude is increasing at a rate of 18.0 V/(m · s). A)What is the direction of the magnetic field at the point P, r = 16.6 cm from the center of the circle? B)What is the magnitude of the magnetic field (in T) at the point P, r = 16.6 cm from the center of the circle? C) As before, at the moment shown in the figure, the electric field within the circle has a magnitude of 300 V/m and is increasing at a rate of 18.0 V/(m · s). In addition, suppose that the radius of the circular area of the electric field increases at a rate of 1.00 cm/s. What would the magnitude of the magnetic field be at point P at this moment (in T)?arrow_forwardThe figure shows a cylindrical conductor with inner radius a = 2.2 cm and outer radius b= 3.7 cm. The current flowing in the cylinder is perpendicular to the figure and directed outward. The magnitude of the current density is given by J = cr² where c = 2.9 x 106 A/m² (r in meters). What is the magnitude of the magnetic field at point P (at a radial distance from the center midway between a and b (i.e., at r = (a+b)/2)? Give your answer in μT. B = мт What is the magnitude of the magnetic field at a radial distance r = 5.0 cm from the center of the conductor? |B| = | MT Parrow_forwardAn infinitely long cylindrical conductor with radius R=1.30 cm carries a current 2.80 A which is uniformly distributed over the cross-sectional area of the conductor. What is the magnitude of the magnetic field, in units of µT, at a distance R/2 from the conductor axis? (Take to = 4n x 10-7 T m/A.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning