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Problem 35 Medium Difficulty

Consider a series $R C$ circuit as in Figure $P 18.35$ for which $R=1.00 \mathrm{M\Omega}, C=$ $5.00 \mu \mathrm{F},$ and $\mathcal{E}=30.0 \mathrm{V}.$ Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is thrown closed. (c) Find the current in the resistor 10.0 s after the switch is closed.

Answer

4.06 \times 10^{-6} A

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Video Transcript

in part off this question, we have to kill Claire the time constraint, though. Let's try the formula to conclude this time constraint going calls to our C now sitting the wells into this equation, we will get how equal store, 1.0 multiplied by tennis part six omega into 5.0 multiplied by tennis for minus six Ferrari. So this was yours. Oh, equals two 5.0 seconds in part B. We have to kill clear the maximum jai's stored in Colchester that is, Do not we know that do not equals to see. Let's call it equation one That's right, the well use for see any iniquity in one you're not equals to 5.0 multiplied by tennis for minus six right into 30 points It worked, which is equal store. You're not equals two 1 50 microfiber No, let's come toward the third part of this question. In this part of question, we are also to kill Claire. The current passing through the resister in the U N. Instant off the time in order to kill cleared this current What? Me right. The formula toe can clear the potential difference across the capacitor. We see it wants to into one minus exponential off minus TV, wanted by talk. Here we see the potential difference across the capacitor, and this is the potential difference off the supply. Our source. Let's call it equation, too. Now, using car coasts were digital weaken, right? He minus I r minus. We see close to zero. No sitting the wedding off we see from according to to this equation and then solving the equation for I weaken right if I equals to be rewarded by our exponential off the minus t wanted by talk their school college equating three. Now setting the Williams into this equation we will get I equals 2 30 points, their world divided by 1.0 multiplied by tenants for six omega into exponential off the minus 10.0 seconds you wanted by 5.0 2nd So this will give us. So I calls to 4.0 six my grown bear. So end of the question

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Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Christina K.

Rutgers, The State University of New Jersey

Andy C.

University of Michigan - Ann Arbor

Marshall S.

University of Washington

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp