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What is the frequency of an AC signal if its time period is 0.02 seconds?
20 Hz
50 Hz
100 Hz
200 Hz
50 Hz
The frequency of an alternating current (AC) signal is defined as the reciprocal of its time period. Given a time period of 0.02 seconds, the frequency calculates to 50 Hz, which is the standard frequency of household power supplies in India and many other countries.
The frequency of an alternating current (AC) signal is defined as the reciprocal of its time period. Given a time period of 0.02 seconds, the frequency calculates to 50 Hz, which is the standard frequency of household power supplies in India and many other countries.
Think of a metronome ticking back and forth; if one complete swing takes 0.02 seconds, it completes 50 full swings every single second.
F and T are inverse peers, frequency equals one over TтАФf=T1тАЛ!
f=T1тАЛ тАФ Relationship between frequency and time period
T=f1тАЛ тАФ Relationship between time period and frequency
Frequency represents the number of complete cycles an alternating signal completes in one second. Since each cycle takes a fixed duration known as the time period (T), the total number of cycles per second (f) is mathematically inverse to the time period.
Frequency is measured in Hertz (Hz), equivalent to inverse seconds (sтИТ1 or Hz).
India uses a standard AC frequency of 50┬аHz, meaning the current reverses direction 100 times per second.
The standard time period for a 50┬аHz AC supply is 0.02┬аseconds.
Standardized frequency allows seamless operation of electrical appliances across the grid.
Household AC power supply distribution
Audio signal processing and telecommunications
Standard value: In India, the standard household AC frequency is 50┬аHz.
Wrong options explanation: Option A (20┬аHz) corresponds to a time period of 0.05┬аs, Option C (100┬аHz) corresponds to 0.01┬аs, and Option D (200┬аHz) corresponds to 0.005┬аs.
B is correct тАФ The frequency of an AC signal is the reciprocal of its time period, yielding 50┬аHz for a 0.02┬аs duration.
Always double-check units when converting between time period and frequency to avoid simple reciprocal calculation errors in competitive exams.