1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
brilliants [131]
2 years ago
10

Derivation of Eq. (3): o Basic physics principles: Justify equations (1) and (2) in your own words. . Doing the algebra: From eq

uations (1) and (2), show that equation (3) holds. mu? =eu B This would be nice if we knew the velocity. Fortunately, we know the voltage through which the electrons are accelerated. Setting the change in electrical potential energy equal to the final kinetic energy of the electrons, we find: eV = From this point, some algebra lets us eliminate the velocity variable entirely, giving us: e 2V m (B_T)
Physics
1 answer:
zysi [14]2 years ago
7 0

Answer:

About eq (1)

mv^2/r = eVB

when a charged particle (electron) enters into the magnetic field which is perpendicular to direction of motion than there will be magnetic force on particle and particle will travel in circular path in with constant speed.

So using force balance on charged particle:

F_{net} = Fc - Fm

Since particle is traveling at constant speed, So acceleration is zero, and

F_{net} = 0

Fc - Fm=0

Fc = Fm

Fc = centripetal force on particle = m*v^2/r

Fm = magnetic force on electron = q*VxB = q*V*B*sin \theta

q = charge on electron = e

since magnetic field is perpendicular to the velocity of particle, So theta = 90 deg

sin 90 deg = 1

So,

m*v^2/r = e*v*B

About equation 2:

When this charged particle is released from rest in a potential difference V, and then it enters into above magnetic field, then using energy conservation on charge particle

KEi + PEi = KEf + PEf

KEi = 0, since charged particle started from rest

PEi - PEf = q*dV

PEi - PEf = eV

KEf = final kinetic energy of particle when it leaves = (1/2)*m*v^2

So,

0 + eV = (1/2)*m*v^2

eV = (1/2)*m*v^2

From above equation (1) and (2)

m*v^2/r = evB

e/m = v/(r*B)

Now

eV = (1/2)*m*v^2

v = \sqrt{(2*e*V/m)}

e/m = \sqrt{ (2*e*V/m)/(r*B)}

\frac{e^2}{m^2} = \frac{2*e*V}{(m*r^2*B^2)}

e/m = 2*V/(r^2*B^2)

e/m = 2V/(Br)^2

You might be interested in
A sound that is perceived as twice as loud requires
iren [92.7K]

Answer:

C.<u>ten</u><u> </u><u>times</u><u> </u><u>the</u><u> </u><u>intensity</u><u>.</u>

7 0
2 years ago
What’s the formula for work
padilas [110]

Answer:

Fd

Explanation:

Work is force times distance. If you push on an object really hard but it does not budge, you have still performed no work on it, because anything times zero is still zero.

6 0
2 years ago
Read 2 more answers
If a persons skin is dry she will experience more of a shock
NeX [460]

Answer:

add lotion

Explanation:

7 0
2 years ago
Read 2 more answers
What hormone does the pineal gland release
zmey [24]
The hormone that the pineal gland releases is the hormone melatonin
7 0
3 years ago
A baseball is released at rest from the top of the Washington Monument. It hits the ground after falling for 6 s. What was the h
alukav5142 [94]

Answer:

Total height (s) = 176.4 m

Explanation:

Given:

Initial velocity (u) = 0 m/s

Time taken (t) = 6 sec

Acceleration due to gravity = 9.8 m/s²

Find:

Total height (s)

Computation:

s = ut + [1/2]gt²

s = (0)(6) + [1/2][9.8][6²]

s = 176.4 m

Total height (s) = 176.4 m

6 0
3 years ago
Other questions:
  • If an electric wire is allowed to produce a magnetic field no larger than that of the Earth (0.50 x 10-4 T) at a distance of 15
    5·1 answer
  • Hydroelectric power plants can generate huge amounts of electricity. Which of these statements best describes the impact of a hy
    13·2 answers
  • If a 76.2 kg patient is exposed to 52.6 rad of radiation from a beta source, then what is the dose (mrem) absorbed by the person
    13·1 answer
  • What is the velocity of a wave with a wavelength of 9 meters and a period of 0.006
    10·1 answer
  • Suppose you wish to whirl a pail full of water in a vertical circle at a constant speed without spilling any of its contents (ev
    14·1 answer
  • A rocket is launched from rest and moves in a straight line at 30.0 degrees above the horizontal with an acceleration of 35.0 m/
    13·1 answer
  • What statement is best supported by the information in the chart?
    6·1 answer
  • At a certain place, Earth's magnetic field has magnitude B =0.703 gauss and is inclined downward at an angle of 75.4° to the hor
    13·1 answer
  • Anyone know how to select someone as brainiest?!!!!!!!!!!!!!!!
    5·2 answers
  • An airplane flying at 57 m/s releases a crate of supplies that lands 821 m from where it was released. How high was the plane fl
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!