Capacitors and Amplifiers

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Questions and Answers

A capacitor stores energy in what form?

  • Magnetic field
  • Thermal energy
  • Electric field (correct)
  • Kinetic energy

How is the capacitance of a capacitor related to the area ($A$) of its plates and the separation distance ($d$) between them?

  • Inversely proportional to $A$ and directly proportional to $d$
  • Directly proportional to $A$ and inversely proportional to $d$ (correct)
  • Directly proportional to both $A$ and $d$
  • Inversely proportional to both $A$ and $d$

What is the approximate resting neuron cell membrane potential?

  • -70 mV (correct)
  • 0 mV
  • +140 mV
  • +70 mV

The output voltage ($V_{out}$) of an amplifier is limited by what factor?

<p>The value of its power supply voltage (C)</p> Signup and view all the answers

In an open-loop op-amp configuration, what primarily determines the output voltage ($V_{out}$)?

<p>The product of the op-amp's gain ($A$) and the difference between the two input voltages ($V_1 - V_2$) (D)</p> Signup and view all the answers

What is the primary function of an op-amp in a buffer amplifier configuration?

<p>To isolate the input signal from the output load (D)</p> Signup and view all the answers

In an inverting amplifier configuration, if the input voltage ($V_{in}$) is positive, what is the polarity of the output voltage ($V_{out}$)?

<p>Negative (B)</p> Signup and view all the answers

What is modulated in amplitude modulation (AM)?

<p>Amplitude of the carrier signal (C)</p> Signup and view all the answers

What component in a basic AM receiver circuit is primarily responsible for removing the high-frequency carrier wave after the signal is rectified?

<p>Low pass filter (D)</p> Signup and view all the answers

When converting an analog signal to a digital signal, what does 'sampling frequency' refer to?

<p>How often the amplitude of the analog signal is measured (D)</p> Signup and view all the answers

What does the Nyquist-Shannon sampling theorem state regarding the sampling rate required to perfectly reconstruct a signal?

<p>The sampling rate must be at least twice the signal frequency. (D)</p> Signup and view all the answers

In frequency modulation (FM), what characteristic of the carrier signal is modulated?

<p>Frequency (D)</p> Signup and view all the answers

If the plate area of a capacitor is doubled and the distance between the plates is halved, how does the capacitance change?

<p>It is quadrupled. (D)</p> Signup and view all the answers

An amplifier has a power supply voltage of $\pm 15V$. If the input signal causes the output to swing beyond these limits, what phenomenon will occur?

<p>Clipping (B)</p> Signup and view all the answers

What is 'bit depth' when referring to converting an analog signal into a digital signal?

<p>The binary resolution (2^n possible values) that the amplitude of an analog signal is measured. (C)</p> Signup and view all the answers

Analyze the following scenario: An open-loop op-amp with an extremely high gain ($A = 10^5$) is used in a circuit. If $V_1 = 2.001$ V and $V_2 = 2.000$ V, and the op-amp is powered by $\pm 15$ V, what will be the approximate output voltage ($V_{out}$)?

<p>+15 V (B)</p> Signup and view all the answers

In an AM radio receiver, after the diode has rectified the signal and the low pass filter has removed the high frequency carrier wave, what is the resulting signal envelope?

<p>The original modulating signal (D)</p> Signup and view all the answers

A signal with frequency components up to 10 kHz needs to be accurately converted to digital. According to the Nyquist-Shannon theorem, what is the minimum sampling rate required?

<p>20 kHz (B)</p> Signup and view all the answers

Consider an inverting amplifier using an ideal op-amp with $R_{in} = 1 k\Omega$ and $R_f = 10 k\Omega$. If $V_{in} = 0.5V$, what will $V_{out}$ be, assuming the op-amp is powered sufficiently?

<p>-5.0 V (B)</p> Signup and view all the answers

You have an AM radio receiver that is picking up significant interference. You've already checked the antenna and connections. Based on the information provided, which component is most likely the culprit needing further examination?

<p>The diode rectifier or low pass filter (A)</p> Signup and view all the answers

Flashcards

Capacitor Energy Storage

Capacitors store energy in an electric field.

Capacitance Factors

The capacitance of a capacitor is directly proportional to the plate area and inversely proportional to the plate separation distance.

Neuron Resting Potential

Electrical activity in our body is caused by the movement of ionic solutions through cell membranes. Resting neuron membrane potential is approximately -70 mV.

Amplifier Output Limit

The output of an amplifier cannot exceed its power supply voltage limits.

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Amplitude Modulation (AM)

In amplitude modulation (AM), the amplitude of the carrier signal is modified in relation to the signal being transmitted.

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Frequency Modulation (FM)

In frequency modulation (FM), the frequency of the carrier signal is modified in relation to the signal being transmitted

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Low-Pass Filter in AM

Removes high-frequency carrier waves in AM radio circuits.

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Sampling Frequency

It is how often the amplitude of an analog signal is measured when converting to digital.

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Bit Depth

It is the binary resolution (2^n possible values) that the amplitude of an analog signal is measured by.

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Nyquist-Shannon Theorem

It guarantees perfect signal reconstruction if the sampling rate is at least twice the signal frequency.

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TDMA

Stands for Time Division Multiple Access, used in wireless communication.

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FDMA

Stands for Frequency Division Multiple Access, used in wireless communication.

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CDMA

Stands for Code Division Multiple Access, is a channel access method used by various radio communication technologies.

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Study Notes

  • Capacitors store energy in the form of an electric field.
  • The energy stored in a capacitor is given by W = (1/2)CV², where C is capacitance and V is voltage.
  • Capacitance (C) is proportional to the plate area (A).
  • Capacitance (C) is inversely proportional to the plate separation distance (d).
  • Capacitance can be expressed as C ~ A/d.
  • Electrical activity in our body is due to the mixing of ionic solutions across cell membranes.
  • The resting neuron cell membrane potential is approximately -70 mV.
  • The output of an amplifier can't exceed its power supply voltage.
  • The output voltage (Vout) of an amplifier is limited by -Vs < Vout < +Vs, where Vs is the power supply voltage.
  • In an open-loop op-amp configuration (no feedback), the output voltage is given by Vout = A × (V₁ - V₂).
  • V₁ and V₂ are the input voltages to the op amp.
  • A is the open-loop gain of the op amp.
  • In a buffer amplifier configuration, the output voltage (Vout) equals the input voltage (Vin).
  • In an inverting amplifier configuration, the output voltage is given by Vout = -Vin.
  • Op-amp output voltage is limited to -Vdc < Vout < +Vdc.
  • In Amplitude Modulation (AM), the amplitude of the carrier signal changes according to the signal being transmitted.
  • In Frequency Modulation (FM), the frequency of the carrier signal changes according to the signal being transmitted.
  • In an AM receiver circuit, the diode rectifies the signal.
  • The low-pass filter in an AM receiver removes the high-frequency carrier wave.
  • When converting an analog signal to a digital signal:
  • Sampling frequency is how often the amplitude of the analog signal is measured.
  • Bit depth is the binary resolution (2ⁿ possible values) that represents the amplitude of the analog signal.
  • The Nyquist-Shannon sampling theorem states a signal can be perfectly reconstructed if the sampling rate is at least twice the signal frequency.
  • Know how to count in binary up to 15.
  • You should know the truth tables for the AND, OR, NOT, and NAND logic functions.
  • Know their circuit symbols.
  • Know what FDMA, TDMA, and CDMA stand for and how they work.
  • Understand how resistive and capacitive touchscreens work.
  • Understand the utilization of a "clock" signal in sequential logic circuits.
  • The "clock" is important in synchronizing data movement.
  • Logic gates respond to the clock signal when it switches from low to high (rising edge) or high to low (falling edge).
  • Know what a shift register is.

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