Capacitors and Op Amps

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Capacitor Energy Storage

Capacitors store energy in an electric field.

Energy stored in a capacitor

W = (1/2) * C * V^2 where W is energy, C is capacitance, and V is voltage.

Capacitance Factors

Capacitance is proportional to the plate area and inversely proportional to the separation distance.

Body's electrical activity

Electrical activity is caused by mixing ionic solutions through a cell membrane.

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Resting membrane potential

At rest, the neuron cell membrane potential is approximately -70 mV.

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Amplifier Output Limit

The output can't exceed its power supply voltage.

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Op-amp's output voltage limits

Output voltage is limited between -Vdc and +Vdc

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Amplitude Modulation (AM)

Amplitude of the carrier signal is modulated by the signal being transmitted

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Frequency Modulation (FM)

The frequency of the carrier signal is modulated by the signal being transmitted.

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AM receiver circuit function

The diode rectified the signal. The low pass filter removed the high frequency carrier wave.

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Sampling frequency

How often the analog signal's amplitude is measured when converting to digital.

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Bit depth

Binary resolution (2^n possible values) of the amplitude of an analog signal.

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Nyquist-Shannon theorem

A signal can be perfectly reconstructed if the sampling rate is at least 2x the signal frequency.

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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 directly proportional to the plate area (A) and inversely proportional to the plate separation distance (d): C ~ A/d.
  • Electrical activity in the body results from ionic solution mixing through the cell membrane.
  • Resting neuron cell membrane potential is approximately -70 mV.
  • The output voltage of an amplifier cannot exceed its power supply voltage: -Vs < Vout < +Vs.
  • In an op amp open-loop configuration, the output voltage Vout = A * (V1 - V2), where A is the open-loop gain, and V1 and V2 are the input voltages.
  • An op amp in a buffer amplifier configuration has a gain of 1; Vout = Vin.
  • In the inverting amplifier configuration; Vout = -Vin.
  • The output voltage of an op amp remains between -Vdc < Vout < +Vdc.
  • In Amplitude Modulation (AM), the amplitude of the carrier signal is modulated by the signal being transmitted.
  • In Frequency Modulation (FM), the frequency of the carrier signal is modulated by the signal being transmitted.
  • In an AM receiver circuit, the diode rectifies the signal, and the low pass filter removes the high-frequency carrier wave.
  • When converting analog signals into digital signals; sampling frequency measures the rate at which the amplitude of an analog signal is measured.
  • When converting analog signals into digital signals; bit depth is the binary resolution (2^n possible values) that the amplitude of an analog signal is measured.
  • The Nyquist-Shannon sampling theorem states a signal can be reconstructed perfectly if the sampling rate is at least twice the signal frequency.
  • Key logic gate functions to memorize: AND, OR, NOT, NAND.
  • Understand FDMA, TDMA, and CDMA
  • Understand how resistive and capacitive touchscreens work.
  • Understand the role of a clock in sequential logic circuits
  • Logic gates respond when clock signals switch, either rising (low to high) or falling (high to low)
  • You should know what a shift register is.

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