Y(t) a of an integrator circuit

1. What is the equation of integrator?
2. What is the transfer function of an integrator?
3. What is an integrator circuit?
4. What formula would you use to calculate the output of an integrator?

What is the equation of integrator?

This basic equation above of i_C = C(dVc/dt) can also be expressed as the instantaneous rate of change of charge, Q with respect to time giving us the following standard equation of: i_C = dQ/dt where the charge Q = C x V_C, that is capacitance times voltage.

What is the transfer function of an integrator?

The transfer function corresponding to (10.96) is H_c(z)=1−z^−R. A typical value for R could range between 1 and 3. The magnitude and phase response of H_c(z) corresponding to R=1 are shown in Figure 10.31. Obviously, the comb filter in this case, with a null placed at DC, acts as a highpass filter.

What is an integrator circuit?

The integrator circuit outputs the integral of the input signal over a frequency range based on the circuit time constant and the bandwidth of the amplifier. The input signal is applied to the inverting input so the output is inverted relative to the polarity of the input signal.

What formula would you use to calculate the output of an integrator?

Output Voltage Calculation

In the above equation, the output is -1/(R₁ * C_f) times the integral of the input voltage, where the term (R₁ * C_f) is known as the time constant of the integrator.