Problem

Consider a circuit consisting of a lightbulb and…

01:15

Problem 72 Hard Difficulty

Suppose the circuits shown in Figures 24-33
and 24-35 are connected to identical batteries, rather than to ac
generators. (a) Assuming the value of R is the same in the two circuits, is the current in Figure 24-33 greater than, less than, or the same as the current in Figure 24-35? (b) Choose the best explanation from among the following:
I. The circuits have the same current because the capacitor
acts like an open circuit and the inductor acts like a short
circuit.
II. The current in Figure 24-33 is larger because it has more circuit elements, each of which can carry current.
III. The current in Figure 24-35 is larger because it has fewer circuit elements, meaning less resistance to current flow.

Answer

a) see explanation
b) 1

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Physics 102 Electricity and Magnetism

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Video Transcript

the first tight. And we have to suppose that both off their circuits are connected to the sea searches instead off a C sources. So in the first item we have d c sources. But note that a D. C search is formally the same as an A Sixers. We've zero frequency then in that set up, we have the following properties for the reactant sees off both the doctor and the capacitor. The reactor's off the capacitor is equals to one divide it by omega times, the capacitance as a media is equals to zero. We have that these stents to infinity. So the reactions of the capacitor is very, very large. It means that the capacitor we will act as an open switch on the circuit. So the capacitor is actually an open switch and the same for these one. And we can already see that in this circuit here, the current we won't flow through one resistance are okay. No, let's continue our analysis now the reactant softening looker is it close to your Omega Times? They look tense as amiga. Easy close to zero. The reactor something looked or tends to zero as well. Easier inductive reactant means that they looked or acts like an idea wire, so it offers no resistance to the passage of current. So this is just an idea wire, and then we can see that again. The current. We only flow through one resistance and as both off the circuits are connected to the same source the same D C's first. Then we can see that by arms law. Both of them will have the same current. I mean, he is equals to our times. I where eyes the current and then I easy goes to V over R in both circuits have the same voters on the same resistance, then the current in both circuits is the same. So the current in Circle One is the same as the current windsurfing, too. Where are the easiest to circulate one on the Z circle, too? No for the second night, and we have to choose an explanation for our previous answer on explanation that matches better. What we have just seen is the 1st 1 that's it

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