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The RMS potential difference of an AC household outlet is 117 V. a) What is the maximum potential difference across a lamp connected to the outlet? b) If the RMS current through the lamp is 5.5 A, what is the lam

Respuesta :

Answer:

a. 165.5 V

b. 7.78 A

Explanation:

Here is the complete question

The RMS potential difference of an AC household outlet is 117 V. a) What is the maximum potential difference across a lamp connected to the outlet? b) If the RMS current through the lamp is 5.5 A, what is the maximun current through the lamp.

Solution

a. The maximum potential difference across the lamp Vโ‚€ = โˆš2Vโ‚ where Vโ‚ = rms value of potential difference = 117 V

Vโ‚€ = โˆš2Vโ‚ = โˆš2 ร— 117 V = 165.5 V

b. The maximum current through the lamp Iโ‚€ = โˆš2Iโ‚ where Iโ‚ = rms value of current = 5.5 A

Vโ‚€ = โˆš2Vโ‚ = โˆš2 ร— 5.5 A = 7.78 A

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