William Collins
2021-12-15
Answered

A sinusoidal electromagnetic wave is propagating in vacuum in the $+z-direction$ . If at a particular instant and at a certain point in space the electric field is in the $+x-direction$ and has magnitude $4.00\frac{V}{m}$ , what are the magnitude and direction of the magnetic field of the wave at this same point in space and instant in time?

You can still ask an expert for help

enlacamig

Answered 2021-12-16
Author has **30** answers

The Poynting vector of the energy rate in the electromagnetic wave in vacuum is given by equation (32.28) in the form

1)$\overrightarrow{S}=\frac{1}{{\mu}_{0}}\overrightarrow{E}\times \overrightarrow{B}$

Equation(1) shows the vector product between the electric field and the magnetic field. So, to determine the direction of the wave we apply the right-hand rule where the wave comes from the opposite direction. The electric field and the magnetic field are perpendicular to each other and to the direction on the propagation.

Your index finger represents the direction of the electric field$+x$ - direction and your thump is the direction of the propagation $+z$ - direction, so your middle finger that represents the direction of magnetic field is in the direction of $+y$ - axis.

$+y-direction$

The maximum electric field is related to the maximum magnetic field and the relationship between both of them is given by equation (32.4) in the form

$B}_{max}=\frac{{E}_{max}}{c$

Where c is the speed of the light. Now, plug the values for$E}_{max$ and c to get $B}_{max$

${B}_{max}=\frac{{E}_{max}}{c}=\frac{4.0\frac{V}{m}}{3\times {10}^{8}\frac{m}{s}}=1.33\times {10}^{-8}T$

1)

Equation(1) shows the vector product between the electric field and the magnetic field. So, to determine the direction of the wave we apply the right-hand rule where the wave comes from the opposite direction. The electric field and the magnetic field are perpendicular to each other and to the direction on the propagation.

Your index finger represents the direction of the electric field

The maximum electric field is related to the maximum magnetic field and the relationship between both of them is given by equation (32.4) in the form

Where c is the speed of the light. Now, plug the values for

stomachdm

Answered 2021-12-17
Author has **33** answers

Magnitude of magnetic field

$B=\frac{E}{c}$

$=\frac{4.00\frac{V}{m}}{3\times {10}^{8}\frac{m}{s}}$

$B=1.33\times {10}^{-8}$ in the $+y$ direction.

asked 2020-12-01

The boom weighs 2600N. The boom is attached with a frictionless pivot at its lower end. It is not uniform; the distance of its center of gravity from the pivot is 35% of its length. a) Find the tension in the guy wire and the horizontal and vertical components of the force exerted on the boom at its lower end. b) Does the line of action of the force exerted on the boom a tits lower end lie along the boom?

asked 2021-02-18

In an industrial cooling process, water is circulated through a system. If the water is pumped with a speed of 0.45 m/s under a pressure of 400 torr from the first floor through a 6.0-cm diameter pipe, what will be the pressure on the next floor 4.0 m above in a pipe with a diameter of 2.0 cm?

asked 2021-01-05

A 0.48 kg piece of wood floats in water but is found to sinkin alcohol (specific gravity= 0.79) in which it has an apparentmass 0.035 kg. What is the SG of the wood?

asked 2020-12-24

Water stands at a depth H in a large, open tank whose sidewalls are vertical. A hole is made in one of the walls at a depth h below the water surface.

a) at what distance R from the foot of the wall does the emerging stream strike the floor?

b) How far above the bottom of the tank could a second hole be cut so that the stream emerging from it could have the same range as for the first hole?

a) at what distance R from the foot of the wall does the emerging stream strike the floor?

b) How far above the bottom of the tank could a second hole be cut so that the stream emerging from it could have the same range as for the first hole?

asked 2021-10-26

Find the vector, not with determine, but by using properties of croos products.

a)

b)

If

asked 2021-01-31

A fine metal foil separates one end of two pieces of opticallyflat glass. When light of wavelength 670 nm is incident normally,28 dark lines are observed (with one at each end). How thick is thefoil?

asked 2021-02-25

Two parallel wirescarrying equal currents of 10 A attract each other with a force of1 mN. If both currents are doubled, the force of attraction willbe:

a)1 mN

b)4 mN

c)0.5 mN

d)0.25 mN

a)1 mN

b)4 mN

c)0.5 mN

d)0.25 mN