If the effective voltage of an ac receptacle is 120V, what is the peak-to-peak voltage?Select one:a.169.7 Vb.240 Vc.339.4 Vd.84.8 V
Question
If the effective voltage of an ac receptacle is 120V, what is the peak-to-peak voltage?Select one:a.169.7 Vb.240 Vc.339.4 Vd.84.8 V
Solution 1
The peak voltage of an AC circuit is given by the formula Vpeak = Vrms * sqrt(2), where Vrms is the effective voltage.
Step 1: Substitute the given Vrms value into the formula. In this case, Vrms = 120V.
Vpeak = 120V * sqrt(2)
Step 2: Calculate the value.
Vpeak = 169.7V
The peak-to-peak voltage is then 2 * Vpeak because it measures the total voltage swing of the AC signal.
Step 3: Substitute the calculated Vpeak into the formula.
Vpeak-to-peak = 2 * 169.7V
Step 4: Calculate the value.
Vpeak-to-peak = 339.4V
So, the peak-to-peak voltage of an AC receptacle with an effective voltage of 120V is 339.4V. Therefore, the correct answer is c. 339.4V.
Solution 2
The peak voltage of an AC circuit is given by the formula Vpeak = Vrms * sqrt(2), where Vrms is the effective voltage.
Step 1: Substitute the given Vrms value into the formula. In this case, Vrms = 120V.
Vpeak = 120V * sqrt(2)
Step 2: Calculate the value.
Vpeak = 169.7V
The peak-to-peak voltage is then 2 * Vpeak because it measures the total voltage swing from the positive to the negative peak.
Step 3: Substitute the calculated Vpeak into the formula.
Vpeak-to-peak = 2 * 169.7V
Step 4: Calculate the value.
Vpeak-to-peak = 339.4V
So, the peak-to-peak voltage of an AC receptacle with an effective voltage of 120V is 339.4V. Therefore, the correct answer is c. 339.4V.
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