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Chapter 37: Q. 9 (page 1082)


9. Electrons pass through the parallel electrodes shown in FIGURE EX37.9 with a Speedtowards left . What magnetic field strength and direction will allow the electrons to pass through without being deflected? Assume that the magnetic field is confined to the region between the electrodes.

Short Answer

Expert verified

and it is directed into the plane of paper.

Step by step solution

01

Given information

Voltage, Length, Width, Speed towards left.

02

conceptual understanding

Since the upper plate is at a higher potential so Electric field is in downward direction.

Since electron is going left and we need the resulting magnetic force to be in downward direction (opposite to electric field) so that net force is zero.

Using the right hand rule

we can see that magnetic field is directed into the plane of paper.

03

calculation


Electric field

Magnetic force on electron is given by where B is magnetic field.so now, on comparing magnitudes :-

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Most popular questions from this chapter

Your friend flies from Los Angeles to New York. She carries an accurate stopwatch with her to measure the flight time. You and your assistants on the ground also measure the flight time.

a. Identify the two events associated with this measurement.

b. Who, if anyone, measures the proper time?

c. Who, if anyone, measures the shorter flight time?

An electron in a cathode-ray beam passes between 2.5cm-long parallel-plate electrodes that are 5.0mm apart. A 2.0mT, 2.5-cm-wide magnetic field is perpendicular to the electric field between the plates. The electron passes through the electrodes without being deflected if the potential difference between the plates is 600V.

a. What is the electron’s speed?

b. If the potential difference between the plates is set to zero, what is the electron’s radius of curvature in the magnetic field?

An oil droplet with 15 excess electrons is observed between two parallel electrodes spaced 12mmapart. The droplet hangs motionless if the upper electrode is 25Vmore positive than the lower electrode. The density of the oil is localid="1649754409992" 860kg/m3. What is the radius of the droplet?

Express in eV(or keVor MeVif more appropriate):

a. The kinetic energy of a Li ++ ion that has accelerated from rest through a potential difference of 5000V.

b. The potential energy of two protons 10fmapart.

c. The kinetic energy, just before impact, of a 200g ball dropped from a height of 1.0m.

A parallel-plate capacitor with a 1.0mmplate separation is charged to 75V. With what kinetic energy, in eV, must a proton be launched from the negative plate if it is just barely able to reach the positive plate?
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