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A "75 -watt" lightbulb uses an average power of 75 $\mathrm{w}$ when connected to an rms voltage of 120 $\mathrm{V}$ . (a) What is the resistance of thelightbulb? (b) What is the maximum current in the bulb? (c) Whatis the maximum power used by the bulb at any given instant of time?

a) 192$\Omega$b) 0.883 $\mathrm{A}$

Physics 102 Electricity and Magnetism

Chapter 24

Alternating-Current Circuits

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Alternating Current

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In this question, a lightbulb is connected to an average ROMs voltage off 120 volts and use an average power off 75. What? In the first item we have to calculate what is the resistance off that light bulb to do so we use the following relation. The average power is equals. Two V are a mess squared over our them. The resistance off the light bulb he's given by the are a mess squared over the average power consumers. No, we can just plug in the given values and Coakley devalue off the resistance. So 120 square over 75 and easy's equals to 192 homes off resistance. In the second item, we have to copulate. What is the maximum correct that flows from the light bulb? So we begin by calculating the Ari mass current by using forms Law. So v are a mess is you goes to our times. I are a mess. This is just on flow. Then we can solve for I r m s to get that these easy goes to V. What a mess over are blocking the given values. We got 120 over 192 and these easy close to zero point 625 and piers. And now, to get the maximum current, we use the relation between the maximum current on their R. M s security, which is the following. All right. R m s is equals two I max over square. I'm tough too solving. For I Max, we get that the maximum current is he goes to the square root of two times the R M s current, which is equal to the square root of two times zero point 625 which is approximately equals two zero point 88 and piers in the last item. We have to calculate what is the maximum power? Use it by the light bulb at any even instant of time and the maximum power we will be given by be Max musicals to our times. I'm Max squared by using these version off Max, we get the following be max is equals to 192 times square. Root of two times 0.625 squared and disease equals to 192 times two times 0.625 squared and this is it close to 150. What's

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