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What is the maximum value of the AC voltage whose root-mean-square value is (a) 117 V.  V (b) 213 V. V

Question

What is the maximum value of the AC voltage whose root-mean-square value is (a) 117 V.  V (b) 213 V. V

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Solution

The maximum value of an AC voltage (also known as the peak voltage) can be found using the formula:

Vmax = Vrms * sqrt(2)

where Vrms is the root-mean-square value of the voltage.

(a) If the root-mean-square value is 117 V, the maximum value is:

Vmax = 117 V * sqrt(2) = 165.5 V

(b) If the root-mean-square value is 213 V, the maximum value is:

Vmax = 213 V * sqrt(2) = 301.1 V

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