A signal applied to a CRO has a rising time of 0.5 μs. Its bandwidth is:

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  1. 0.7 MHz
  2. 0.05 MHz
  3. 0.07 MHz
  4. 0.2 MHz

Answer (Detailed Solution Below)

Option 1 : 0.7 MHz
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Detailed Solution

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Concept of Bandwidth and Rise Time:

The bandwidth (BW) of a signal can be estimated using the rise time (tr) with the following relationship for a typical oscilloscope or CRO:

BW ≈ 0.35 / tr

Where,

  • BW = Bandwidth in Hz
  • tr = Rise time in seconds

Given Data:

  • Rise Time (tr) = 0.5 μs = 0.5 × 10-6 s

Calculation:

Using the formula:

BW ≈ 0.35 / tr

BW ≈ 0.35 / (0.5 × 10-6)

BW ≈ 0.7 × 106 Hz

BW ≈ 0.7 MHz

Conclusion:

Hence, the bandwidth of the signal is approximately 0.7 MHz.

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