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in an LCR circuit why is Inductance and Capacitance "imaginary"?

The Capacitance is represented by Ci and Inductance is Li why is the electrical numbering system complex?

Using complex math (with a real and imaginary component) is just a way to represent 2 different dimensions of a number.

The impedance of a Resistor is not frequency-dependent and is considered the "real" portion of the component.

The impedance of a pure Inductor or Capacitor is frequency-dependent and is considered the "imaginary" portion of the number.

Xc = 1/jwC

Xl = jwL

For an inductor:
V = L dI/dt

For a capacitor:
I = C dV/dt

An AC Voltage or AC current is typically represented in polar coordinates with an amplitude component and a phase component.


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The Sinometer MS8222H is a professional fully featured digital multimeter as well as a LCR meter, you can use it to measure AC/DC voltage and current, resistance, capacitance, inductance, frequency and temperature both in fahrenheit and celsius. This meter comes with all the accessories and 1 year manufacturer's warranty. Specifications: *DCV:0-200mV-6V-60V-600V-1000V±0.5% *ACV:0-200mV-2V-20V-±0...

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The BK Precision 879B 40,000-count handheld LCR meter measures inductance, capacitance, and resistance quickly and precisely. Additionally, the 879B supports remote control using SCPI commands and can calculate impedance, T, and ESR, features typically found only in bench LCR meters. Fast auto ranging and quick measurement configuration such as measurement parameter and test frequency selection ma...

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The Sinometer VC9805A is a professional fully featured digital multimeter as well as a LCR meter, you can use it to measure AC/DC voltage and current, resistance, capacitance, inductance, frequency and temperature both in fahrenheit and celsius. This meter comes with all the accessories and 1 year manufacturer's warranty. Specifications: DCV:0-200m-2-20-200±0.5%-1kV±1.0%. ACV:0-2-20-200V±0.8%...

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