The amplitude of the voltage available in the 50-Hz, 110-V power outlet in your home is:a.325b.220c.156d.110
Question
The amplitude of the voltage available in the 50-Hz, 110-V power outlet in your home is:a.325b.220c.156d.110
Solution
The voltage given (110V) is the RMS (Root Mean Square) value. The relationship between the peak (or amplitude) voltage and the RMS voltage for a sinusoidal signal is given by Vpeak = VRMS * sqrt(2).
Step 1: Identify the given RMS voltage which is 110V.
Step 2: Use the formula Vpeak = VRMS * sqrt(2) to calculate the peak voltage.
Step 3: Substitute VRMS = 110V into the formula to get Vpeak = 110V * sqrt(2).
Step 4: Calculate the value to get Vpeak = 155.56349206V.
Step 5: Round off the value to the nearest whole number to get Vpeak = 156V.
So, the amplitude of the voltage available in the 50-Hz, 110-V power outlet in your home is 156V. Therefore, the correct answer is c. 156.
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