2.1 Define the term impedance with reference to RLC circuits. 2.2 Illustrate the phase relationship between current and voltage by drawing the waveforms of the following circuits on ANSWER SHEET 2.2: 2.2.1 Pure capacitive circuit 2.2.2 Pure inductive circuit 2.3 FIGURE 2.3 below shows a RLC series circuit that consists of a 12 Ω resistor, an inductor with a reactance of 22 Ω and a capacitor with a reactance of 36 Ω, all connected across a 60 V/60 Hz supply. Answer the questions that follow.

NSC Electrical Technology Electronics Effect of Alternating Current: 2.1 Define the term impedance wi

2.1 Define the term impedance with reference to RLC circuits - NSC Electrical Technology Electronics - Question 2 - 2018 - Paper 1

Question 2

2.1 Define the term impedance with reference to RLC circuits. 2.2 Illustrate the phase relationship between current and voltage by drawing the waveforms of the foll... show full transcript

Worked Solution & Example Answer:2.1 Define the term impedance with reference to RLC circuits - NSC Electrical Technology Electronics - Question 2 - 2018 - Paper 1

Step 1

Define the term impedance with reference to RLC circuits.

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Answer

Impedance is defined as the total opposition to the flow of alternating current in a circuit that includes resistance (R) and reactance (X). This can be expressed as:

$Z = \\sqrt{R^2 + X^2}$

where Z is the impedance, R is the resistance, and X is the reactance, which can be further divided into inductive reactance and capacitive reactance.

Step 2

Illustrate the phase relationship between current and voltage by drawing the waveforms of the following circuits on ANSWER SHEET 2.2: 2.2.1 Pure capacitive circuit

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In a pure capacitive circuit, the current leads the voltage by 90 degrees. The waveform representation can be illustrated as follows:

The voltage waveform ( $V_C$ ) reaches its peak at 360 degrees.
The current waveform ( $I$ ) reaches its peak at 90 degrees.

This can be depicted as sinusoidal curves with the current peak leading the voltage peak.

Step 3

2.2.2 Pure inductive circuit

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In a pure inductive circuit, the voltage leads the current by 90 degrees. The waveform representation can be illustrated as follows:

The current waveform ( $I$ ) reaches its peak at 270 degrees.
The voltage waveform ( $V_L$ ) reaches its peak at 90 degrees.

This can be depicted as sinusoidal curves with the voltage peak leading the current peak.

Step 4

2.3 FIGURE 2.3 below shows a RLC series circuit that consists of a 12 Ω resistor, an inductor with a reactance of 22 Ω and a capacitor with a reactance of 36 Ω, all connected across a 60 V/60 Hz supply. Answer the questions that follow.

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Answer

To solve the questions in this part, we will analyze the circuit step by step using the given values:

Resistance, ( R = 12 : \Omega )
Inductive reactance, ( X_L = 22 : \Omega )
Capacitive reactance, ( X_C = 36 : \Omega )
Supply Voltage, ( V_S = 60 : V )
Frequency, ( f = 60 : Hz )

2.1 Define the term impedance with reference to RLC circuits - NSC Electrical Technology Electronics - Question 2 - 2018 - Paper 1

Worked Solution & Example Answer:2.1 Define the term impedance with reference to RLC circuits - NSC Electrical Technology Electronics - Question 2 - 2018 - Paper 1

Define the term impedance with reference to RLC circuits.

Illustrate the phase relationship between current and voltage by drawing the waveforms of the following circuits on ANSWER SHEET 2.2: 2.2.1 Pure capacitive circuit

2.2.2 Pure inductive circuit

2.3 FIGURE 2.3 below shows a RLC series circuit that consists of a 12 Ω resistor, an inductor with a reactance of 22 Ω and a capacitor with a reactance of 36 Ω, all connected across a 60 V/60 Hz supply. Answer the questions that follow.

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