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Andru [333]
3 years ago
14

A long solenoid has 103 turns/cm and carries current i. An electron moves within the solenoid in a circle of radius 2.60 cm perp

endicular to the solenoid axis. The speed of the electron is 1.38 × 107 m/s. Find the current i in the solenoid.
Physics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

0.23348 A

Explanation:

B = Magnetic field

v = Velocity of electron = 1.38\times 10^7\ m/s

q = Charge of electron = 1.6\times 10^{-19}\ C

\mu_0 = Vacuum permeability = 4\pi \times 10^{-7}\ H/m

r = Radius of circle = 0.026 m

N = Number of turns = 103 turns/cm = 103\times 100\ turns/m

I = Current

The magnetic and centripetal force will be balanced

Bqv=m\frac{v^2}{r}\\\Rightarrow B=\frac{mv}{qr}

The magnetic field in solenoid is given by

B=N\mu_0 I\\\Rightarrow I=\frac{B}{N\mu_0}

From the first equation

I=\frac{\frac{mv}{qr}}{N\mu_0}\\\Rightarrow I=\frac{mv}{N\mu_0qr}\\\Rightarrow I=\frac{9.11\times 10^{-31}\times 1.38\times 10^7}{103\times 100\times 4\pi \times 10^{-7}\times 1.6\times 10^{-19}\times 0.026}\\\Rightarrow I=0.23348\ A

The current in the solenoid is 0.23348 A

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Find the length (in m) of an organ pipe closed at one end that produces a fundamental frequency of 494 Hz when air temperature i
elena-14-01-66 [18.8K]

Answer:

0.173 m.

Explanation:

The fundamental frequency of a closed pipe is given as

fc = v/4l .................. Equation 1

Where fc = fundamental frequency of a closed pipe, v = speed of sound  l = length of the pipe.

Making l the subject of the equation,

l = v/4fc ................ Equation 2

also

v = 331.5×0.6T ................. Equation 3

Where T = temperature in °C, T = 18.0 °c

Substitute into equation 3

v = 331.5+0.6(18)

v = 331.5+10.8

v = 342.3 m/s.

Also given: fc = 494 Hz,

Substitute into equation 2

l = 342.3/(4×494)

l = 342.3/1976

l =0.173 m.

Hence the length of the organ pipe = 0.173 m.

7 0
3 years ago
A 34-kg child on an 18-kg swing set swings back and forth through small angles. If the length of the very light supporting cable
kompoz [17]

Answer:

4.44s

Explanation:

A 34-kg child on an 18-kg swing set swings back and forth through small angles. If the length of the very light supporting cables for the swing is 4.9 m, how long does it take for each complete back-and-forth swing? Assume that the child and swing set are very small compared to the length of the cables

since the mass of the child and that of the swing is negligible, the masses wont be involved in the calculation

T=2π√L/g

g=acceleration due to gravity which is 9.81m/s2

the length of the supporting cable is 4.9m

T the period

period is the time required to make a complete oscillation

T=2*π√4.9/9.81

T=2*π*0.706

T=4.44s

4.44s

5 0
3 years ago
g Calculate the maximum wavelength of light that will cause the photoelectric effect for potassium. Potassium has work function
Ivahew [28]

Answer:

λ = 5.4196 10⁻⁷m,  λ = 541.96 nm    this is green ligh

Explanation:

The photoelectric effect was explained by Eintein assuming that the light was made up of particles called photons and these collided with the electrons taking them out of the material.

 

                     K = h f -Ф

where K is the kinetic energy of the ejected electrons, hf is the energy of the light quanta and fi is the work function of the material.

The speed of light is related to wavelength and frequency

                   c = λ / f

                  f = c /λ

we substitute

                K = h c / λ - Φ

for the case that they ask us the kinetic energy of the electons is zero (K = 0)

                 h c / λ = Ф

                λ = h c / Ф

we calculate

                 λ = 6.63 10⁻³⁴  3 10⁸ / 3.67 10⁻¹⁸

                 λ = 5.4196 10⁻⁷m

let's take nm

                lam = 541.96 nm

this is green light

4 0
3 years ago
What kind of device can you use to to separate visible light into its different colors
juin [17]
A prism will separate white light into a rainbow of light
5 0
3 years ago
Help cant figure out which ones right
Ahat [919]
D.) It is an "Element".

[ Element cannot be separated by any means ]

Hope this helps!
4 0
3 years ago
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