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(a) When the ac generator in FIGURE 24-33 operates at high frequency, is the rms current in the circuit greater than, less than, or the sameas when the generator operates at low frequency? (b) Choose the best explanation from among the following:I. The current is the same because at high frequency the inductoris like an open circuit, and at low frequency the capacitor is likean open circuit. In either case the resistance of the circuit is R.II. Less current flows at high frequency because in that limit theinductor acts like an open circuit, allowing no current to flow.III. More current flows at high frequency because in that limit thecapacitor acts like an ideal wire of zero resistance.
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Physics 102 Electricity and Magnetism
Chapter 24
Alternating-Current Circuits
Current, Resistance, and Electromotive Force
Direct-Current Circuits
Electromagnetic Induction
Alternating Current
Rutgers, The State University of New Jersey
Simon Fraser University
Hope College
McMaster University
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in the first item. We are working in the low frequency limit. So we have low frequencies. And in that limit, a capacitor behaves like an open switch. Why you on in? Doctor behaves like an idea wire. So in that limit, the given circuit is equivalent to the following one. So we have this source and here we have a resistance and open circ. Wait. Now we have an idea wire on a resistance. So the current on that circle, it will flow through the following path. Then it will only meet a resistance are here. Therefore the current in that situation will be given by V. I remember. Is it closed? Why are a mass times the resistance So the current is equals to the voltage divided by the resistance? On the other hand, when we are at the high frequency limits, a capacitor behaves just like your wire on the doctor behaves just like unopened switch. Then in the high frequency limit. The given circuit is equivalent to the following one. We have the source. We have our existence. Idea why you're I need your help. Your brain. JJ, we have Loken switch in the resistance. Then in the second situation at the high frequency limit. The path that the current follows is the following. Therefore it only meets again. Resistance are so again the current will be given by the voltage divided by the resistance. So in both limits, off low three princes and off high frequencies the current will be the same No as we have just seen. The best explanation for the second item is the 1st 1
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