Explanation Given data : Consider that the power and diameter of the beam are 1 mW and 1 mm respectively. Explanation: Consider the following expression, which relates the electric and magnetic field amplitudes. E 0 = c B 0 (1) Here, c is the velocity of light in vacuum, which is generally 3 × 10 8 m s . Consider the following expression that relates the intensity of microwaves with oscillating electric field amplitude. I = c ε 0 E 0 2 2 (2) Here, ε 0 is permittivity of free space, which is generally known as 8.85 × 10 − 12 C 2 N ⋅ m 2 Re-arrange equation (2). E 0 2 = 2 I c ε 0 Take square root on both sides of the equation. E 0 = ( 2 I c ε 0 ) 1 2 (3) Consider the following expression that relates the intensity of microwaves with power and area of cross-section of the beam. I = P A (4) Here, A is cross-sectional area of the beam, which is generally π r 2 for circular beam. Substitute equation (4) in (3), E 0 = ( 2 P A c ε 0 ) 1 2 = ( 2 P A c ε 0 ) 1 2 Substitute π r 2 for A , E 0 = ( 2 P π r 2 c ε 0 ) 1 2 Here, r is the radius of the beam, which is equal to half value of diameter ( d ) of the beam. Therefore, d 2 = 1 mm 2 = 0.5 mm . Substitute 1 mW for P , 0.5 mm for r , 3 × 10 8 m s for c , and 8.85 × 10 − 12 C 2 N ⋅ m 2 for ε 0 in equation (3), E 0 = ( 2 ( 1 mW ) π ( 0.5 mm ) 2 ( 3 × 10 8 m s ) ( 8

College Physics: A Strategic Approach (4th Edition)

4th Edition

ISBN: 9780134609034

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

See similar textbooks

Question

Chapter 25, Problem 29P

To determine

To find: The amplitudes of oscillating electric and magnetic fields in the laser beam.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 25, Problem 28P

Chapter 25, Problem 30P

Students have asked these similar questions

32. When you use Maxwell's equations to determine electric and magnetic fields, a lot depends on making the “right" choice for the integration path. What happens if you choose the "wrong" path? Do the equations still hold? Consider a parallel-plate capacitor with circular plates, but use a rectan- gular integration path that has two sides parallel to the plates and two sides perpendicular to them, as in Figure P30.32. What do you get? • Figure P30.32 - integration path

Assume the helium-neon lasers commonly used in student physics laboratories have power outputs of 0.55 mW. a. If such a laser beam is projected onto a circular spot 2.8 mm in diameter, what is its intensity in W/m2? b. Find the peak magnetic field strength in T. c. Find the peak electric field strength in V/m.

An electromagnetic wave with frequency 65.0 Hz travels in an insulating magnetic material that has dielectric constant 3.64 and relative permeability 5.18 at this frequency. The electric field has amplitude 7.20 × 10-³ V/m. Part A What is the speed of propagation of the wave? 17 ΑΣΦ V= Submit Request Answer Part B What is the wavelength of the wave? ΠΙ ΑΣΦ X = Submit Request Answer ? ? m/s m

Chapter 25 Solutions

College Physics: A Strategic Approach (4th Edition)

Ch. 25 - Prob. 1CQ Ch. 25 - Prob. 2CQ Ch. 25 - Prob. 3CQ Ch. 25 - Prob. 4CQ Ch. 25 - Prob. 5CQ Ch. 25 - Prob. 6CQ Ch. 25 - The power lines that run through your neighborhood...Ch. 25 - The magnetic flux passing through a coil of wire...Ch. 25 - There is a counterclockwise induced current in the...Ch. 25 - Prob. 10CQ

Ch. 25 - The conducting loop in Figure Q25.11 is moving...Ch. 25 - Figure Q25.12 shows two concentric, conducting...Ch. 25 - Figure Q25.13 shows conducting loops next to each...Ch. 25 - Prob. 15CQ Ch. 25 - Prob. 16CQ Ch. 25 - Prob. 17CQ Ch. 25 - A metal wire is resting on a U-shaped conducting...Ch. 25 - Prob. 19CQ Ch. 25 - Prob. 20CQ Ch. 25 - Prob. 21CQ Ch. 25 - Prob. 22CQ Ch. 25 - Prob. 23CQ Ch. 25 - Prob. 24CQ Ch. 25 - Arc welding uses electric current to make an...Ch. 25 - A circular loop of wire has an area of 0.30 m2. It...Ch. 25 - In Figure Q25.27, a square loop is rotating in the...Ch. 25 - A diamond-shaped loop of wire is pulled at a...Ch. 25 - Figure Q25.29 shows a triangular loop of wire in a...Ch. 25 - A device called a flip coil can be used to measure...Ch. 25 - The electromagnetic waves that carry FM radio...Ch. 25 - The beam from a laser is focused with a lens,...Ch. 25 - A spacecraft in orbit around the moon measures its...Ch. 25 - A 6.0 mW vertically polarized laser beam passes...Ch. 25 - Prob. 36MCQ Ch. 25 - Prob. 1P Ch. 25 - Prob. 2P Ch. 25 - A l0-cm-long wire is pulled along a U-shaped...Ch. 25 - Figure P25.4 shows a 15-cm-long metal rod pulled...Ch. 25 - Prob. 5P Ch. 25 - In the rainy season, the Amazon flows fast and...Ch. 25 - A delivery truck with 2.8-m-high aluminum sides is...Ch. 25 - Prob. 8P Ch. 25 - Prob. 9P Ch. 25 - Prob. 10P Ch. 25 - Prob. 11P Ch. 25 - Prob. 12P Ch. 25 - Prob. 13P Ch. 25 - A magnet and a coil are oriented as shown in...Ch. 25 - A 1000-turn coil of wire 2.0 cm in diameter is in...Ch. 25 - Figure P25.I6 shows a 100-turn coil of wire of...Ch. 25 - Figure P25.17 shows a 10-cm-diameter loop in three...Ch. 25 - Prob. 18P Ch. 25 - Prob. 19P Ch. 25 - Prob. 20P Ch. 25 - Prob. 21P Ch. 25 - Prob. 22P Ch. 25 - Prob. 23P Ch. 25 - Prob. 24P Ch. 25 - Prob. 25P Ch. 25 - Prob. 26P Ch. 25 - A microwave oven operates at 2.4 GHz with an...Ch. 25 - The maximum allowed leakage of microwave radiation...Ch. 25 - Prob. 29P Ch. 25 - Prob. 30P Ch. 25 - At what distance from a 10 mW point source of...Ch. 25 - Prob. 32P Ch. 25 - A radio antenna broadcasts a 1.0 MHz radio wave...Ch. 25 - Prob. 34P Ch. 25 - The intensity of a polarized electromagnetic wave...Ch. 25 - Prob. 36P Ch. 25 - Prob. 37P Ch. 25 - Prob. 39P Ch. 25 - Prob. 40P Ch. 25 - Prob. 41P Ch. 25 - Prob. 42P Ch. 25 - One recent study has shown that x rays with a...Ch. 25 - Prob. 44P Ch. 25 - Prob. 45P Ch. 25 - Prob. 47P Ch. 25 - Prob. 48P Ch. 25 - Prob. 49P Ch. 25 - A particular species of copepod, a small marine...Ch. 25 - Prob. 51P Ch. 25 - Prob. 52P Ch. 25 - Prob. 53P Ch. 25 - Prob. 54P Ch. 25 - Prob. 55P Ch. 25 - A python can detect thermal radiation with...Ch. 25 - If astronomers look toward any point in outer...Ch. 25 - Prob. 58GP Ch. 25 - People immersed in strong unchanging magnetic...Ch. 25 - Prob. 60GP Ch. 25 - Prob. 61GP Ch. 25 - Prob. 62GP Ch. 25 - A 20-cm-long, zero-resistance wire is pulled...Ch. 25 - A TMS (transeranial magnetic stimulation) device...Ch. 25 - The 10-cm-wide, zero-resistance wire shown in...Ch. 25 - Experiments to study vision often need to track...Ch. 25 - A LASIK vision correction system uses a laser that...Ch. 25 - A new cordless phone emits 4.0 mW at 5.8 GHz. The...Ch. 25 - In reading the instruction manual that came with...Ch. 25 - Unpolarized light passes through a vertical...Ch. 25 - Prob. 72GP Ch. 25 - Prob. 73GP Ch. 25 - Prob. 74GP Ch. 25 - What is the wavelength of 27 MHz radio waves? A....Ch. 25 - If the frequency of the radio waves is increased,...Ch. 25 - Prob. 77MSPP Ch. 25 - The metal detector will not detect insulators...Ch. 25 - A metal detector can detect the presence of metal...Ch. 25 - Which of the following changes would not produce a...

Knowledge Booster

The amplitudes of oscillating electric and magnetic fields in the laser beam.

Solution Summary: The author explains the amplitudes of oscillating electric and magnetic fields in the laser beam.

To find: The amplitudes of oscillating electric and magnetic fields in the laser beam.

Want to see the full answer?

Chapter 25 Solutions