Calculating Electron Motion in an AM Radio Broadcasting Circuit

  • Thread starter Thread starter WPCareyDevil
  • Start date Start date
AI Thread Summary
The discussion focuses on calculating the motion of electrons in an AM radio broadcasting circuit operating at 550 kHz. For part (a), the time for electrons to complete one full cycle is determined as the reciprocal of the frequency, yielding approximately 1.818 microseconds. In part (b), the average speed of the electrons is given as 100 micrometers per second, and the hint suggests that the full range of motion occurs in half of the cycle. The user attempts to calculate the range by multiplying the speed by half the period but encounters an error in converting the result to nanometers. Clarification is sought on the correct approach to the calculations.
WPCareyDevil
Messages
30
Reaction score
0

Homework Statement


Consider the broadcasting circuit for an AM radio station which broadcasts at a frequency of 550 kHz. The electrons in such a circuit are moving back and forth in simple harmonic motion.

(a) How long does it take for the free electrons in this circuit to go back and forth once? Give your answer in μs.


(b) Assuming the average speed of the electrons is 100 μm/s, what is the range of motion of the electrons as they go back and forth in the wires of the circuit. (HINT: As the electron goes back and forth, it travels its full range every half cycle.) Give your answer in nm.
nm



Homework Equations


T=s/cycles
d=vt?


The Attempt at a Solution



the answer to a was easy - just the reciprocal of 550khz.

b, seems a little more confusing. I know the speed (100x10^-6) of the electrons, and the time (answer a), but my confusion is in the "hint". Would I multiply the time by 2?

Thank you!
 
Physics news on Phys.org
The hint is telling you that the electrons are traveling the full range of motion in 1/2 of a period.
 
Ok, so I multiplied v(100x10^-6) by (1/2)(1.818x10^-6) and got 9.09x10^-11. It asks for the answer in nm (^-9), so I entered 90.9, and it was incorrect. Can someone tell me what I am doing wrong? I only have 1 attempt left.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

A question about an electron’s movement in a DC circuit
Replies
37
Views
4K
An AM station is broadcasting a radio wave whose frequency is 1400 kHz.
Replies
4
Views
9K
Quantitative Analysis of Electron Motion in a Uniform Magnetic Field
Replies
20
Views
2K
Calculating Time Delay for Radio Telescope Pointing
Replies
6
Views
3K
Position of electron motion 2D
Replies
2
Views
2K
Water wheel model to describe current flow in a circuit
Replies
3
Views
2K
Magnetic Field Strength Calculation for Electron in Uniform Field
Replies
14
Views
6K
What is the Ideal Angle for a Frog's Jump to Reach 3 Meters Horizontally?
Replies
19
Views
2K
Calculating Induced EMF from AM Radio Broadcast and Dipole Antenna
Replies
3
Views
3K
Electron in a magnetic field problem
Replies
37
Views
4K

Hot Threads

Recent Insights

Back
Top