Short notes

Oscilloscope Short Notes

Feed a 1 kHz, 5 Vpp sine wave into the Y-input of a CRO with the time/div set to 0.2 ms/div and volts/div to 2 V/div — you see exactly 2.5 divisions of amplitude and one complete cycle per 5 divisions. Every oscilloscope measurement reduces to counting divisions and multiplying by the calibration factor.

EEE, EI

How it works

The CRT-based CRO uses an electron gun to produce a focused beam; the X-plates get a sawtooth time-base signal (generated internally) while the Y-plates carry the input signal after passing through a calibrated attenuator and wideband amplifier (bandwidth typically 20 MHz to 100 MHz). Triggering synchronises the sweep with the input signal — edge triggering fires when the signal crosses a set level with a defined slope. The Digital Storage Oscilloscope (DSO) samples at ≥2× the highest frequency (Nyquist), stores samples in memory (512 to 10k points), and can capture single-shot events that a CRO would miss.

Key points to remember

Lissajous figures on a CRO: apply signal A to X and signal B to Y — if frequency ratio is 1:1 and phase difference is 90°, you get a circle. Phase difference φ = sin⁻¹(Y0/Ymax) where Y0 is Y-intercept and Ymax is maximum Y deflection. Bandwidth of the Y-amplifier determines the highest frequency measurable; a 10:1 probe increases input impedance from 1 MΩ to 10 MΩ and reduces loading on high-frequency circuits but attenuates the signal by 10×. Rise time of a CRO is related to bandwidth: tr = 0.35/BW; for a 100 MHz scope, tr = 3.5 ns.

Exam tip

The examiner always asks you to determine frequency ratio and phase difference from a Lissajous figure — count the tangent points on the horizontal and vertical envelopes and remember fy/fx = nx/ny.

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