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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 (X_L) is directly proportional to frequency (f). This can be expressed mathematically as:

XL=2πfLX_L = 2 \pi f L

where L is the inductance. Thus, as frequency increases, the 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 given figure, the current waveform lags the voltage waveform by 90 degrees. This means that the voltage reaches its peak value before the current does, indicating that the circuit is inductive in nature.

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