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A Cathode Ray Oscilloscope (CRO) is used to display an AC signal. (i) Calculate the frequency of the signal. (ii) Calculate the peak voltage of the signal. (b) State two advantages of a CRO as a voltm

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2 parts
a(i)

25 Hz\text{25 Hz}

a(ii)

240 V\text{240 V}

Step-by-step solution

5 steps

Here's the solution to question 47:

Part a(i)· 3 steps

The frequency of the a.c signal

  1. Determine the period of the signal from the CRO trace.

    From the figure, one complete cycle of the waveform spans 4 horizontal divisions.
    The time base control is set at 10 ms/division.

    T=number of divisions per cycle×time base settingT = \text{number of divisions per cycle} \times \text{time base setting} T=4 divisions×10 ms/divisionT = 4 \text{ divisions} \times 10 \text{ ms/division} T=40 msT = 40 \text{ ms}

  2. Convert the period to seconds.

    T=40×10−3 sT = 40 \times 10^{-3} \text{ s}

  3. Calculate the frequency using the formula f=1Tf = \frac{1}{T}.

    f=140×10−3 sf = \frac{1}{40 \times 10^{-3} \text{ s}} f=10.04 sf = \frac{1}{0.04 \text{ s}} f=25 Hzf = 25 \text{ Hz}

    The frequency of the a.c signal is 25 Hz\boxed{\text{25 Hz}}.

Part a(ii)

240 V\text{240 V}

The peak voltage of the input signal

  1. Determine the peak amplitude in divisions from the CRO trace.

    From the figure, the peak amplitude (from the center line to the peak) is 2 vertical divisions.
    The y-gain sensitivity is set at 120 V/division.

  2. Calculate the peak voltage.

    Vp=number of divisions from center to peak×y-gain sensitivityV_p = \text{number of divisions from center to peak} \times \text{y-gain sensitivity} Vp=2 divisions×120 V/divisionV_p = 2 \text{ divisions} \times 120 \text{ V/division} Vp=240 VV_p = 240 \text{ V}

    The peak voltage of the input signal is 240 V\boxed{\text{240 V}}.

Part b

State two advantages of a CRO as a voltmeter.

  • A CRO has a very high input impedance, meaning it draws negligible current from the circuit under test, thus not affecting the circuit's operation.
  • It can display the waveform of the voltage, allowing for observation of its shape, period, and peak values, which a conventional voltmeter cannot do.
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