Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 30, Problem 44P
(a)
To determine
The proof that
(b)
To determine
The proof that
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Q: An AM radio signal propagating in free space has:
E = Eo sin(1200πt - βz)ax
H= (Eo / η)*sin(1200πt- βz)az
Express these in phasor form and detrmine β and η such that the fields Satisfy Maxwell’s equations.
Q#07 (a) Evaluate S Spxy dx dy R is the region bounded by x =0, x =2, y = x,
y = x+ 2.
The electric field strength in the region 0
Chapter 30 Solutions
Physics for Scientists and Engineers
Ch. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - Prob. 5PCh. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10P
Ch. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - Prob. 14PCh. 30 - Prob. 15PCh. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - Prob. 19PCh. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - Prob. 32PCh. 30 - Prob. 33PCh. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - Prob. 41PCh. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Prob. 47PCh. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - Prob. 51PCh. 30 - Prob. 52PCh. 30 - Prob. 53PCh. 30 - Prob. 54PCh. 30 - Prob. 55PCh. 30 - Prob. 56PCh. 30 - Prob. 57PCh. 30 - Prob. 58PCh. 30 - Prob. 59P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- H-W: 1. Defermine directional derivative of z= x-2y at the point (3,2,1) in the direction of o= = 2. Defermine directional derivative of z= x+at the point (1,2,3) in the divection of7 = 3i+43 - 3. Let fix,y) = In (xy2), Find the Maximum valme of a directional derivative at (11) and Find the unit vector in the direction in which the manimum valut occurs-arrow_forward2. (a) The temperature in an auditorium is given by1 =x+y°-z A mosquito located at (1, 1, 2) in the auditorium desires to fly in such a direction that it will get warm as soon as possible. In what direction must it fly? (b) (By applying Stokes Theorem; from the differential form of Ampere-Maxwell law, prove that $ H.dl=I+Ip.arrow_forwardThe H-vector for an oscillating electric dipole is given by H= {[cp,ei@(t- rle)]/4tr?}[i(X/r) - 1] sine o. Show that the phase velocity of this wave is v= c[1+ (X/r)], and thus that v> c.arrow_forward
- The electric field intensity in the region 0 <.x < 5, 0arrow_forwardOptical tweezers use light from a laser to move single atoms and molecules around. Suppose the intensity of light from the tweezers is 1000 W/m2, the same as the intensity of sunlight at the surface of the Earth. (a) What is the pressure on an atom if light from the tweezers is totally absorbed? Pa(b) If this pressure were exerted on a tritium atom, what would be its acceleration? (The mass of a tritium atom is 5.01 ✕ 10−27 kg. Assume the cross-sectional area of the laser beam is 6.65 ✕ 10−29 m2.) m/s2arrow_forwardOptical tweezers use light from a laser to move single atoms and molecules around. Suppose the intensity of light from the tweezers is 1000 W/m², the same as the intensity of sunlight at the surface of the Earth. (a) What is the pressure on an atom if light from the tweezers is totally absorbed? Pa (b) If this pressure were exerted on a tritium atom, what would be its acceleration? (The mass of a tritium atom is 5.01 x 107 -27 kg. Assume the cross-sectional area of the laser beam is 6.65 x 10-2⁹ m².) m/s²arrow_forwardUsing Maxwells equations: V-E = O SH VO VE = -m dt JF Find 17 (xY₁Z₁+) = 110 cos(B, x+B₂y + B₂ Z-w+) and Assume that Elx, y, 2₁ +) = Eo cos (B₁ x + B₂y + B₁ Z=w+) Show that I and I are perpendicular and each is transverse to the direction of propagation V x H = ‹ JE ६arrow_forwardDiscuss the physical interpretation of any one Maxwell relation.arrow_forwardOptical tweezers use light from a laser to move single atoms and molecules around. Suppose the intensity of light from the tweezers is 1000 W/m², the same as the intensity of sunlight at the surface of the Earth. (a) What is the pressure on an atom if light from the tweezers is totally absorbed? Pa (b) If this pressure were exerted on a helium atom, what would be its acceleration? (The mass of a helium atom is 6.65 x 10-27 kg. Assume the cross-sectional area of the laser beam is 6.65 x 10-29 m².) m/s2arrow_forwardConsider a sinusoidal electromagnetic wave of the form Ex = c * By = E0 * sin [2 * pi * f * (t - z/c)], where E0 and f are constants. Assume that Ex and By do not depend on x or y, and that the other components of Evector and Bvector are zero. Show that this wave satisfies Maxwell's equations in empty space.arrow_forwardA number N of plane waves are travelling parallel; the waves share a common wavevector k and common direction of electric field vector along unit vector û, but each wave has its own distinct amplitude Eo and phase difference &;. Therefore the ith wave (for 1 ≤ i ≤ N) has electric field given by E₁ = Eoiû Re [exp j(k-r - wt+d;)]. From this, prove that the total intensity Inet including interference is given by Ec|² 27⁰ where the complex amplitude E, is defined by Inet and 70 is the impedance of free space. N Ec = Eoi exp(joi), 7 i=1arrow_forwardThe Maxwell equation derived from Ampere’s Law in Electricity is a.contour integral E with rightwards arrow on top. stack d s with rightwards arrow on top space equals space minus fraction numerator d capital phi subscript m over denominator d t end fraction b.contour integral B with rightwards arrow on top. stack d s with rightwards arrow on top space equals space mu subscript 0 I plus epsilon subscript 0 mu subscript 0 space fraction numerator d capital phi subscript E over denominator d t end fraction c.contour integral B with rightwards arrow on top. stack d A with rightwards arrow on top space equals space 0 d.contour integral E with rightwards arrow on top. stack d A with rightwards arrow on top space equals space Q subscript i n end subscript over epsilon subscript 0arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
What Are Electromagnetic Wave Properties? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=ftyxZBxBexI;License: Standard YouTube License, CC-BY