Why distance ruins a signal
Resistance and capacitance smear a clean square wave, and that is what limits how fast a cable can carry data.
A long wire is not a perfect conductor. Every metre adds resistance, which weakens the signal, and the wire plus its return path form a capacitor, which stores charge. Together they work like a resistor and a capacitor in series, and that pair rounds off the sharp edges of your square wave.
Capacitance is the reason length hurts more than resistance alone would suggest. The cable has to be charged and discharged before its voltage can change, so a fast edge arrives late and rounded. Round a bit enough and it merges with the next one, which is why receivers start guessing. That merging is called intersymbol interference.
# Why a long cable smears a clean square wave. # Resistance is spread along the wire. # Capacitance between the signal wire and the return path stores charge. # Together they behave like a resistor and a capacitor in series: # short cable -> the edge arrives fast, the square stays square # long cable -> the stored charge has to be filled first, # so edges round off and arriving bits merge (intersymbol interference) # More resistance in the way = slower rise and fall = fewer bits per second.
Two wires running side by side also talk to each other. A changing signal in one induces a small voltage in its neighbour — crosstalk. Twisting the pair, or shielding it, keeps that under control; running them in parallel over metres does not.
Practice
Why does a long cable limit how fast bits can be sent?
Hints
- The receiver has a threshold, and a weak signal crosses it slowly.
- Storing charge costs time, and there is more of it to store on a long cable.
14 XP
Order what happens to a signal travelling down a long cable with a repeater in the middle.
Hints
- Start where the signal is still perfect, at the sender.
- A repeater sits in the middle: it must hear the damage before it can fix it.
14 XP
Match each problem with what it actually does to the signal.
Hints
- One of these damages the signal from inside the cable, not from outside.
- A repeater does not restore the data — it restores the shape of the wave.
14 XP