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Question

An AC source is rated at 220V,50Hz. The time taken for voltage to change from its peak value to zero is ____.


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Solution

Step 1: Given data

Voltage: V=220V

Frequency: f=50Hz

The time taken for the complete cycle is T, which is the time period of the cycle. The time taken by half cycle will be T2. And the time taken to reach to the peak value from zero will be T4 as it is equal to one-fourth of the complete cycle.

Step 2: Formula Used

T=1f

t=T2-T4=T4, where T is the time period, t is the time taken to reach zero from the peak and f is the frequency.

Step 3: Calculate the time to change from peak value to 0.

Calculate the time period using the formula

T=1f=150Hz=0.02s

Calculate the time to reach 0 from the peak by using the formula

t=T4=0.02s4=5×10-3s

Hence, the time taken for voltage to change from its peak value to zero is 5×10-3s.


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