Faraday's Law: What would you observe about the amplitude of an induced signal as the frequency...

Faraday's Law: What would you observe about the amplitude of an induced signal as the frequency varied? Describe whether the behavior is consistenent with Eq. 3 (Vo= w(Nd)A(Bo)cos(theta)). In particular what should your graph of amplitudes against frequencies look like according to Eq 3? In comparisons with the predictions of Eq 3, why would it be important to adjust the function generator to keep the amplitude of the B field the same at each frequency?

Solutions

Expert Solution

From Faraday's law, the magnitude of EMF generated (induced signal) is equal to the change in magnetic flux linked to the coil.

here, the change in flux is due to the oscillating magnetic field with frequency.

Therefore, higher the frequency of oscillating magnetic field, larger will be the amplitude of the induced signal.

if the given magnetic field is:

, then

[ Nd = number of turns in the coil]

since ,

which is frequency dependent and so the above equation is consistent with the behavior mentioned above.

This amplitude of the induced signal is also linearly dependent on the amplitude of the magnetic field and so it must be maintained constant for every frequency to remove the ambiguity of the induced signal changing due to B_o and not due to frequency.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A carrier signal with unit amplitude and frequency fc1 = 50 kHz is modulated with a...

A carrier signal with unit amplitude and frequency fc1 = 50 kHz is modulated with a message signal ?1(?)=2cos(2??1?), where f1 = 15 kHz, to produce a DSB-SC signal. This DSB signal must be up-converted to a center frequency fc = 100 kHz. a. Determine the image frequency of the DSB signal. [2] b. An Upper-SSB signal with unit amplitude carrier at the image frequency calculated above also exists in the spectrum. The SSB signal is tone modulated with ?2(?)=4cos(2??2?),...

2. An AM radio station broadcasts a signal at a carrier frequency ωc, with an amplitude...

2. An AM radio station broadcasts a signal at a carrier frequency ωc, with an amplitude modulation frequency of ωm << ωc, E(t) = E0[1 + A sin(ωmt)] sin(ωct) Show that this is the sum of a wave at the carrier frequency, the lower sideband (ωL = ωc−ωm), and the upper (high) sideband (ωH = ωc + ωm). What total bandwidth is required if the radio station wants to broadcast music that contains modulation frequency components from 20 to 10,000...

These questions are about Faraday's Law and Lenz's Law (DC circuit) 1. Why is the magnitude...

These questions are about Faraday's Law and Lenz's Law (DC circuit) 1. Why is the magnitude of the induced current larger when a magnet or some other primary source moves to the coil fast? 2. Does a higher EMF (voltage) increase or decrease induced current? What about the opposite? 3. How does the number of loops affect induced current? Does a higher area of a loop increase induced current? 4. What source of energy causes induced current?

there is a sinusoidal message signal (f = 100 Hz). Make amplitude modulation with carrier frequency...

there is a sinusoidal message signal (f = 100 Hz). Make amplitude modulation with carrier frequency of 10KHz. Use three different modulation depths / indices (0.2 /0.60/0.8). Then demodulate this mixed signal (for these three cases) by try to get message signals. (need matlab codes and graphs)

What is the definition of magnetic flux? What is Faraday's Law? Can you use it effectively...

What is the definition of magnetic flux? What is Faraday's Law? Can you use it effectively to find the currents induced by changes in magnetic flux? How can it be verified experimentally using a field coil and a pickup coil? If you know how the magnetic field changes in time in a field coil, can you determine how the current induced in a pickup coil will change in time?

A signal with a maximum frequency of 3 kHz is sampled at 50 kHz. What would...

A signal with a maximum frequency of 3 kHz is sampled at 50 kHz. What would the required transition width be in Hertz to... (a) decimate the signal by a factor of 8? (b) decimate the signal by a factor of 5? (c) interpolate the signal by a factor of 4?

Question