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A rocket zooms past the earth at v=2.0×106m/s. Scientists on the rocket have created the electric and mag-netic fields shown in FIGURE EX31.5. What are the fields measured by an earthbound scientist?

Short Answer

Expert verified

The fields measured by an earthbound scientist are

Eb⇶Ä=-1.0×106R^

Bb⇶Ä=0.99j^T

Step by step solution

01

Given Information

We are given that

velocity of rocket is 2.0×106m/s, magnetic field is 1.0Tand electric field is 10×106V/m

We need to find the fields measured by an earthbound scientist.

02

Simplify

As rocket is separating from earht the relative velocity of rocket with respect to earth i.e.

VVba

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Most popular questions from this chapter

FIGUREP31.39Shows the electric field inside a cylinder of radius localid="1649879543758" R=3.0mm.. The field strength is increasing with time as localid="1649879549377" E=1.0×108t2V/m, where tis in s. The electric field outside the cylinder is always zero, and the field inside the cylinder was zero for localid="1649879554833" t<0.

localid="1649879566359" a.Find an expression for the electric flux localid="1649879560575" ϕethrough the entire cylinder as a function of time.

localid="1649879572467" b. Draw a picture showing the magnetic field lines inside and outside the cylinder. Be sure to include arrowheads showing the field’s direction.

localid="1649879587867" c. Find an expression for the magnetic field strength as a function of time at a distance localid="1649879577475" r<Rfrom the center. Evaluate the magnetic field strength atlocalid="1649879582437" r=2.0mm, localid="1649879592577" t=2.0s.

d. Find an expression for the magnetic field strength as a function of time at a distancelocalid="1649879597467" r>Rfrom the center. Evaluate the magnetic field strength at localid="1649879602321" r=4.0mm, localid="1649879607075" t=2.0s.

The magnetic field of an electromagnetic wave in a vacuum isBz=(3.00μ°Õ)sin1.00×107x-Ó¬³Ù , where x is in m and t is in s. What are the wave's (a) wavelength, (b) frequency, and (c) electric field amplitude?

A radio antenna broadcasts a1.0MHzradio wave with 25kWof power. Assume that the radiation is emitted uniformly in all directions.

a. What is the wave’s intensity 30 km from the antenna?

b. What is the electric field amplitude at this distance?

A simple series circuit consists of a 150Ωresistor, a 25Vbattery, a switch, and a 2.5pFparallel-plate capacitor (initially uncharged) with plates 5.0mmapart. The switch is closed at t=0s.

a. After the switch is closed, find the maximum electric flux and the maximum displacement current through the capacitor.

b. Find the electric flux and the displacement current at t=0.50ns.

What is the current through surface in FIGURE Q31.4 if you curl your right fingers in the direction of the arrow?

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