A CRO displays a sine waveform which spans 3 cycles in 6 horizontal divisions. If the time base switch is set to 1 ms/div, what is the frequency of this signal which is being measured?
Understanding the CRO Measurement
The question asks us to find the frequency of a sine waveform displayed on a Cathode Ray Oscilloscope (CRO).
Calculating Signal Period
We are given the following information:
- The waveform spans 3 complete cycles across 6 horizontal divisions.
- The time base setting is 1 millisecond per division (1 ms/div).
First, let's calculate the total time the 3 cycles occupy on the screen:
Total time span = (Number of horizontal divisions) $\times$ (Time base setting)
Total time span = 6 divisions $\times$ 1 ms/div = 6 ms
This 6 ms represents the time taken for 3 cycles of the waveform. To find the time for one cycle (the Period, T), we divide the total time span by the number of cycles:
Period, $T$ = (Total time span) / (Number of cycles)
$T = 6 \text{ ms} / 3 \text{ cycles} = 2 \text{ ms/cycle}$
Calculating Signal Frequency
The frequency ($f$) of a signal is the reciprocal of its period ($T$). Before calculating, we convert the period from milliseconds to seconds:
$T = 2 \text{ ms} = 2 \times 10^{-3} \text{ s}$
Now, we calculate the frequency using the formula $f = 1/T$:
$f = 1 / (2 \times 10^{-3} \text{ s})$
$f = 1 / 0.002 \text{ Hz}$
$f = 500 \text{ Hz}$
Therefore, the frequency of the signal being measured is 500 Hz.
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Important Questions from Cathode Ray Oscilloscope
Calculate the maximum velocity of the beam of electrons in a CRT having a cathode and anode voltage of 182 V. Assume that the electrons leave the cathode with zero velocity. (Charge of electron = 1.6 × 10-19 C and mass of electron = 9.1 × 10-31 kg)
Which of the following expression is the correct formulae for the deflection sensitivity ‘S’ of a CRT, if
D = deflection on the fluorescent screen
L = distance from the center of the deflection plates to the screen
Ld = effective length of the deflection plates
d = distances between the deflection plates
Ed = Potential between deflecting plates
Ea = accelerating voltageTrigger pulses in CRO are used -
- A Lissajous pattern obtained on a CRO screen is a straight line. The frequencies of the two signals are
Which element in CRO is used to collect secondary emission electrons?
