Inductance Meters

instruments for measuring the inductance of circuits with lumped parameters, the windings of transformers and chokes, and inductance coils. Their principle of operation depends on the method of measurement.

Figure 1. Diagram of the measurement of inductance by the “voltmeter-ammeter” method:(A) ammeter, (V) voltmeter, (L_x) inductance, (l) current, (U) voltage

The “voltmeter-ammeter” method (Figure 1) is used for measuring relatively large inductances (from 0.1 to 1,000 henrys [H]) when the resistance of the windings is significantly lower than the inductance. In this case L_x = U/(π f · I), where U is the voltage, I is the current in the circuit whose inductance is being measured, and f is the frequency of the alternating current, usually 50 hertz (Hz). Such inductance meters have an error of 2–3 percent.

An AC measuring bridge (for frequencies of 100, 400, and 1,000 Hz) with standard capacitance or, much less frequently,

Figure 2. Diagram of a bridge for measuring inductance: (U) current source; (G) galvanometer; (R₃), (R₂), and (R₃) ohmic resistances; (C_x,) standard capacitance; (L_x) inductance being measured

standard inductance (Figure 2) is the main component of inductance meters. When the bridge is balanced,

r_x = (R₁· R₂)/R₃L_x = C_s· R₁· R₂

where r_x is the ohmic resistance of the wire of the inductance coil winding. Bridge measurement methods have an error of 1–3 percent; the range of measurement is 0.1 to 1,000 H.

Resonance methods are based on the resonant properties of an oscillatory circuit composed of the inductance being measured (L_x) and a standard capacitance C_s (Figure 3). By varying C„ the circuit can be tuned to resonance with the generator (at frequencies of 10 kHz to 1.5 MHz); the inductance is then calculated using the formula L_x = (2.53 ×^l0)(f²₀ · c), where L_x is the inductance in mH, f₀ is the resonance frequency in kHz, and C = C_s + C_c is the total capacitance of the circuit in picofarads. Resonant inductance meters have an error of 2–5 percent; the range of measurement is 0.05 μ.H to 100 mH.

Figure 3. Diagram of resonance method of inductance measurement: (L_c) coupling loop, (L_x) inductance being measured, (C_c) self-capacitance of coil, (C_s) standard capacitance

REFERENCE

Shkurin, G. P. Spravochnik po elektroizmeritel’nym i radioizmeritel’nympriboram, 3rd ed., vol. 2. Moscow, 1960.

单词	inductance meters
释义	Inductance Meters Inductance Meters instruments for measuring the inductance of circuits with lumped parameters, the windings of transformers and chokes, and inductance coils. Their principle of operation depends on the method of measurement. Figure 1. Diagram of the measurement of inductance by the “voltmeter-ammeter” method:(A) ammeter, (V) voltmeter, (L_x) inductance, (l) current, (U) voltage The “voltmeter-ammeter” method (Figure 1) is used for measuring relatively large inductances (from 0.1 to 1,000 henrys [H]) when the resistance of the windings is significantly lower than the inductance. In this case L_x = U/(π f · I), where U is the voltage, I is the current in the circuit whose inductance is being measured, and f is the frequency of the alternating current, usually 50 hertz (Hz). Such inductance meters have an error of 2–3 percent. An AC measuring bridge (for frequencies of 100, 400, and 1,000 Hz) with standard capacitance or, much less frequently, Figure 2. Diagram of a bridge for measuring inductance: (U) current source; (G) galvanometer; (R₃), (R₂), and (R₃) ohmic resistances; (C_x,) standard capacitance; (L_x) inductance being measured standard inductance (Figure 2) is the main component of inductance meters. When the bridge is balanced, r_x = (R₁· R₂)/R₃L_x = C_s· R₁· R₂ where r_x is the ohmic resistance of the wire of the inductance coil winding. Bridge measurement methods have an error of 1–3 percent; the range of measurement is 0.1 to 1,000 H. Resonance methods are based on the resonant properties of an oscillatory circuit composed of the inductance being measured (L_x) and a standard capacitance C_s (Figure 3). By varying C„ the circuit can be tuned to resonance with the generator (at frequencies of 10 kHz to 1.5 MHz); the inductance is then calculated using the formula L_x = (2.53 ×^l0)(f²₀ · c), where L_x is the inductance in mH, f₀ is the resonance frequency in kHz, and C = C_s + C_c is the total capacitance of the circuit in picofarads. Resonant inductance meters have an error of 2–5 percent; the range of measurement is 0.05 μ.H to 100 mH. Figure 3. Diagram of resonance method of inductance measurement: (L_c) coupling loop, (L_x) inductance being measured, (C_c) self-capacitance of coil, (C_s) standard capacitance REFERENCE Shkurin, G. P. Spravochnik po elektroizmeritel’nym i radioizmeritel’nympriboram, 3rd ed., vol. 2. Moscow, 1960.
随便看	cdfai cdfap cdfb cdfc cdfcu cdf (cumulative distribution function)-based scheduling algorithm cdfd cdfdba cdf (disambiguation) c-dfe cdfe cdfea cdff cdffl cdffp cdfg cdfhc cdfi cdfif cdfin cdfj cdfl cdf/lif cdfm cdfm-a