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3.1 State the relationship between inductive reactance and frequency - NSC Electrical Technology Power Systems - Question 3 - 2023 - Paper 1

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3.1 State the relationship between inductive reactance and frequency. 3.2 Refer to FIGURE 2 below and state the phase relationship between the current and voltage w... show full transcript

Worked Solution & Example Answer:3.1 State the relationship between inductive reactance and frequency - NSC Electrical Technology Power Systems - Question 3 - 2023 - Paper 1

Step 1

State the relationship between inductive reactance and frequency.

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Answer

Inductive reactance ( XLX_L) is directly proportional to the frequency (f) of the alternating current. The relationship is given by the formula:

XL=2πfLX_L = 2 \pi f L

where L is the inductance in henries. Therefore, as frequency increases, inductive reactance increases.

Step 2

Refer to FIGURE 2 below and state the phase relationship between the current and voltage waveforms.

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Answer

In the provided figure, the current waveform lags the voltage waveform by 90 degrees. This indicates that the voltage leads the current in the inductive circuit, which is characteristic of inductive reactance.

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