3.1 State the relationship between inductive reactance and frequency. 3.2 Refer to FIGURE 2.2 below and state the phase relationship between the current and voltage waveforms. 3.3 FIGURE 3.3 below shows an RLC series circuit which consists of a resistor with a resistance of 6 Ω, an inductor with an inductance of 0.02 H and a capacitor with a capacitance of 80 µF.

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

Question 3

3.1 State the relationship between inductive reactance and frequency. 3.2 Refer to FIGURE 2.2 below and state the phase relationship between the current and voltage... 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 the frequency (f) and can be expressed using the formula: $X_L = 2\pi f L$ Where:

$X_L$ = Inductive reactance (in ohms)
$f$ = Frequency (in hertz)
$L$ = Inductance (in henries) As frequency increases, the inductive reactance also increases.

Step 2

Refer to FIGURE 2.2 below and state the phase relationship between the current and voltage waveforms.

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Answer

In the given waveform, the current waveform lags the voltage waveform by 90 degrees. This is characteristic of inductive circuits, where the voltage leads the current due to the inductive properties of the circuit.

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