Phase Period Three-Row Scan - Electronic Circuits VIII: Phase, Impedance, and Active Filters Step by Step

Holding lag fixed makes phase grow as the period denominator shrinks. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A twelve-second period makes three seconds one quarter

With lag fixed at 3 seconds, period 12 seconds gives phase 1/4 cycle.

{3\over 12}={1\over 4}\text{ cycle}

A six-second period makes the same lag one half

Keeping lag 3 seconds but shortening the period to 6 seconds gives phase 1/2 cycle.

{3\over 6}={1\over 2}\text{ cycle}

A four-second period makes the same lag three quarters

With period 4 seconds, the same 3 second lag becomes phase 3/4 cycle.

{3\over 4}={3\over 4}\text{ cycle}