the-rms-voltage-across-a-0010-mu-mathrmf-capacitor-is-28-mathrmv-at-a-fre-quency-of-75-mathrmhz-what

Question

The rms voltage across a $0.010-\mu \mathrm{F}$ capacitor is 2.8 $\mathrm{V}$ at a fre-
quency of 75 $\mathrm{Hz}$ . What are (a) the rms and (b) the maximum cur-
rent through the capacitor?

João Gabriel Alencar Caribé · Accepted Answer

to complete the fiery mass current that is flowing from that circuit. We only have to use the following relation. I r m s is equals two to quiet times the frequency times the capacitance times the ROMs Voltage, then plaguing the given data We got that I are a mess is equals two to pie times 75 times 0.0 10 times 10 to the minus six Don&#x27;t forgot that micro there times two 0.8 and leave things approximately because too 13 0.2 times 10 to the minus six, which can be read him US 13.2 micro m peers in the second item, we have to complete the maximum current that is flowing for that circuit. So remembering the relation between the maximum current on the Aramis current I r m s is equals two i max divided by the square root of two. We get that the maximum current is it close to the armory mass current times the square root of two plugging in the value that have just calculated for the r. A masquerade we get to that. The maximum current is equals two 13.2 times stand to the minus six times this choir tough, too, and this is approximately close to 18.7 times 10 to the minor six, which can be read in US 18.7 Micro and peers.

Mayukh Banik · Answer

impotence is given by one over Omega Psi. It was one of our Dubai FC. So putting the values in Dubai times the frequency 50 hearts times the cab assistance is quartered micro fallowed so quarter micro fatted in words of that solving it comes out to be 12 points. Seven key, though Oh, no. The art amiss garden with B the our team is full just divided by the impotence It was Omega Kappa students times the RMS voltage equals to buy f c the are you miss? It was to buy times 50. Actually, we don&#x27;t have to do any of those because we have found ah xsi So we can just put the numbers in right now the enemy&#x27;s voltage is do 20 village divided by 12.7 give the old equals 17 me the ampere.

Breanna Kloczkowski · Answer

you guys so to yourself. This problem, you&#x27;re going to start as always, by defining our variables that we&#x27;re gonna be using in the problem. So we&#x27;re gonna play frequency of 750 years, a peak output voltage of 140 and then our RMS current in the circuit is money. Three. There you go. So we&#x27;re gonna be funny. Two things in this problem. So first of all, we&#x27;re going to be finding the capacitance of the capacitor, and then we&#x27;re going to finding the magnitude of the maximum charge on one plate A B capacitor. So to find this, we are going to sir, um by choosing which Christians to you. So we know there are people. Titch is 140 b and we&#x27;re sorry, guys, and we&#x27;re going to refer Teoh that as Visa P. And so with our our mass voltage, we&#x27;re gonna use the question to be R m s. It goes gp over the skirt of to and then that work it US 98.99 And that was our mess. Voltage. So now we can plug it in it Teoh recreation that uses a visa our mess. So we get this, um, the justice employed version of the first part of the equation that he wrote down. So now I can plug in our variables, so But so this is our answer. Purport a I&#x27;m ask you, you&#x27;re in like this. Um, through this is a three. But I think about closet in this format, so no, we&#x27;re going todo park feet. Everybody fined the maximum charge. So the maximum charge is huge. Chicken equals thes of you, etc. So now that way have, like, region, we literally just not Teoh in Tom. The numbers we&#x27;re gonna using and we get our answer, which is nine times something I get 1/4.

Zulfiqar Ali · Answer

well. The maximum charge on the capacitor is given by a maximum charge is equal to see into maximum will teach where seized the capacitance of the ca Bastar and maximum will teach came the returnees. Maximum voltage is equal to through two times We are a mess root mean square voltage and so que maximum maximum charge is equal to see into to do two times We are a mess We are m s So the maximum charge is See time&#x27;s through two times root mean square won&#x27;t age

Mayukh Banik · Answer

maximum charge equal C times maximum voltage kept so that it waas route to see Javi. Optimus it

João Gabriel Alencar Caribé · Answer

to stop this question. We just have to use these relations. So remembering that the relation between the angular frequency on the frequency Zico&#x27;s to Omega equals to two pi times the frequency we get that the R. M s coolant on that circuit is he goes to two pi times the frequency times, the capacitance times they are a mass voltage. So plugging the given values, we get that there are emus. Current is he close to two pi times 125 times 105 micro. So we have attempted to minus X factor here times 32 0.5 and these is approximately equals two true 0.68 amperes.

Problem

The rms current through a $55.5-\mu$ F capacitor …

Problem 12 Easy Difficulty

The rms voltage across a $0.010-\mu \mathrm{F}$ capacitor is 2.8 $\mathrm{V}$ at a fre-
quency of 75 $\mathrm{Hz}$ . What are (a) the rms and (b) the maximum cur-
rent through the capacitor?

Answer

a) $1.32 \times 10^{-5} \mathrm{A}$
b) $1.87 \times 10^{-5} \mathrm{A}$

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James S. Walker

Physics

Christina K.

Marshall S.

Farnaz M.

Zachary M.

Electric Charge

The Electric Force

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a) $1.32 \times 10^{-5} \mathrm{A}$b) $1.87 \times 10^{-5} \mathrm{A}$

Physics

Christina K.

Marshall S.

Farnaz M.

Zachary M.

Electric Charge

The Electric Force

James S. WalkerPhysics

Christina K.

Marshall S.

Farnaz M.

Zachary M.

a) $1.32 \times 10^{-5} \mathrm{A}$
b) $1.87 \times 10^{-5} \mathrm{A}$

James S. Walker

Physics