MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C68298.FE3A95D0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C68298.FE3A95D0 Content-Location: file:///C:/59286902/Spring06.Phys1112.Quiz8.SolutrionWeb.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Department of Natural Sciences

 

Clayton College &am= p; State University

Department = of Natural Sciences

April 6, 2006=

 =

Physics 111= 2 – Quiz 8

 =

 =

Name  __SOLUTION_________________________________

 

 

 

1. An LRC circuit is connected to a 10.0-kHz, 725-V (rms) source. and

 

a. What is the impedance of the circuit?

 

XL =3D 2p f L = =3D  2p (10,000 Hz) (22.0 x 10-3 H) =3D <= span style=3D'color:red'>1382 W

 

XC =3D 1/(2p f C) =3D  1/(2p (10,000 Hz) (6240 x 10-12 F)) =3D= 2551 W

 

Z =3D (R2 + (XL – XC)2)1/2 =3D ((8700 W)2 + (1382 W – 2551 W  )2)1/2 =3D <= span style=3D'color:red'>8778 W

 

 

b. What is the rms current= that flows in the circuit?

 

IRMS =3D DVRMS/Z

 

IRMS =3D (725 V) / (8778 W) =3D 0.0826 A

 

c. What are the rms voltag= e drops across the resistor, inductor, and capacitor?

 

DVR, RMS=3D  IRMS R

 

DVR, RMS=3D (0.0826 A) (8700 W) =3D= 716 V

 

DVC, RMS=3D  IRMS XC

 

DVC, RMS=3D (0.0826 A) (2551 W) =3D= 211 V

 

DVL, RMS=3D  IRMS XL

 

DVL, RMS=3D (0.0826 A) (1382 W) =3D= 114 V

 

 

d. Does the current lead the voltage in the circuit or the voltage leads the current?

 

f =3D tan-1 ((XL – XC)/R)

 

f =3D tan-1 ((1382 W R= 11; 2551 W<= /span>)/ (8700 W)) =3D -7.65o

 

f < 0, hence current leads voltage. 

 

 <= /o:p>

------=_NextPart_01C68298.FE3A95D0 Content-Location: file:///C:/59286902/Spring06.Phys1112.Quiz8.SolutrionWeb_files/oledata.mso Content-Transfer-Encoding: base64 Content-Type: application/x-mso 0M8R4KGxGuEAAAAAAAAAAAAAAAAAAAAAPgADAP7/CQAGAAAAAAAAAAAAAAABAAAAAQAAAAAAAAAA EAAAAgAAAAEAAAD+////AAAAAAAAAAD///////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////9 /////v////7///8EAAAABQAAAP7///////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////1IA bwBvAHQAIABFAG4AdAByAHkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAWAAUA//////////8BAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHDxWYW6gsYB AwAAAAAFAAAAAAAAXwAxADIAMQAwADMANQA0ADgANgAxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAABgAAgH/////AgAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAASQIAAAAAAABfADEAMgAxADAAMwA1ADQAOAA2ADIAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAACAP///////////////wAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAoAAABRAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA//////// ////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAA AAIAAAADAAAABAAAAAUAAAAGAAAABwAAAAgAAAAJAAAA/v///wsAAAAMAAAADQAAAA4AAAAPAAAA EAAAABEAAAASAAAAEwAAAP7///////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////8ADAAA eJy7cF7wwcKNUg8Z0IAdAzPDv/+cDGxIYoxQDAYCDAxMUP6/////w4T/j4IhBf4CMQs0DmF4FIwc EMSQD4QlDAoMrgx5QLqIoRK9KMALxBhY4XkeVB4wnWMCix+ASLshqw0ICGrd1XSMkRnIbmCElSn+ DDkMqSTZiQy4GJgYkf1DrD4RBpj9zkD/5zIUAN2RxJBFsv1CQPtBXgH5iVj7QerToGxmqL2ewNBP A7qEHPtB9rKQYD/IrSxQ9j9ovMHyPiuUPQpGBmCEVOMooOIvA9McnhyPpJ4AHjYmHh6fgH/7gUoP t/zvb1Jk/cdkyG3Cl1gh0iMjcGQCIzC1MHNB0h563hcHEr6ZyUX5xflpJQquhaWJJZn5eQrGegYM PEApl2C4GAM3kA/j6BkzfLHcVIjsogU5aSv2zjtwwZ95V4vMb8dvmyYk2J9YqxPwzR6Umu20p9hy ubEltIQ8TmF2S8hKfNa0xPbLHn0+lRrjyd2fuj9f9hKJ4fYW9jb6/Fmk5yuPREVDkN7BAkO2PAV5 GQZQANRfSYDapHLWi8GgwhOSTxgZmRm5GIWafRiY2mwZmDqMILhJD0gbMDDNYHnN1JjLwNToAcQ6 EH5zEFStBVSdOZLabAam1pXMTE06INO55jDXBcRJBi7dxGTwZcJlYcOyplPzpE7N6WXy2Dr/VoLG bX4GnQSnv4QyMw8xOR43cGUoZChlSASW/JnA0icPWA/4QXllRJXKCsDQQ05PxNgJKntqKHM2CiDV fmqDoWw/AGqKiZ39zkD/5zIUAN2RxJBFsv1CQPtBXgH5iVj7QerToGxmqL2ewNBPA7qEHPtB9rKQ YD/IrSxQ9j9oAAwAAHicu3Be8MHCjVIPGdCAHQMzw7//nAxsSGKMUAwGAgwMTFD+v////8OE/4+C IQX+AjELNA5heBSMHBDEkA+EJQwKDK4MeUC6iKESvSjAC8QYWOF5HlQeMJ1jAosfgEi7Iav9cC24 dVfTMUZmILuBEVam+DPkMKSSZCcy4GJgYkT2D7H6RBhg9jsD/Z/LUAB0RxJDFsn2CwHtB3kF5Cdi 7QepT4OymaH2egJDPw3oEnLsB9nLQoL9ILeyQNn/oPEGy/usUPYoGBmAEVKNo4CKvwxMc3hyPJJ6 AnjYmHh4fAL+7QcqPdzyv79JkfUfkyG3CV9ihUiPjMCRCYzA1MLMBUl76HlfHEj4ZiYX5Rfnp5Uo uBaWJpZk5ucpGOsZMPAApVyC4WIM3EA+jKNnzPDFclMhsosW5KSt2DvvwAV/5l0tMr8dv22akGB/ Yq1OwDd7UGq2055iy+XGltAS8jiF2S0hK/FZ0xLbL3v0+VRqjCd3f+r+fNlLJIbbW9jb6PNnkZ6v PBIVDUF6BwsM2fIU5GUYQAFQf8UEalNKhSfDixeekHzCyMjMyMUo1OzMwNRmy8DUYQbERkBsCsQG DEwzWF4zNRYwMDW6AbE9SEcVQ3MQVK0FA1OTHpA2R1KbzcDUupKZqUkHpJZrDnNdQJxk4NJNTAZf JlwWNixrOjVP6tScXiaPrfNvJWjc5mfQSXD6Sygz8xCT43EDV4ZChlKGRGDJnwksffKA9YAflFdG VKmsAAw95PREjJ2gsieAMmejAFLtpzYYyvYDAOttiokAAAAAAAAADAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAP//////////AAAAAAAAAAAAAAAADAAAAAAAAADQARQAyJUFAv///3///94AXgAT ADUAAAAAAAAAkBofAAAAAAAAAAAADAAAAAAAAAAAAAAAAAAAAAAAAAD//////////wAAAAAGAQAA KAMUAAAAAAAAAAAADAAAAAAAAAD///9/CQBoAFYAEwAkAAAAAAAAAMjoBQIAAAAAAAAAAAAAAAAA AAAADAAAAAAAAAAAAAAA//////////8AAAAABwEAANACFAApAKUA2QAMAAAAAAAAAAAADAAAAAAA AABaABMAJAAAAAAAAADI5wUCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAAAAAAAAAA= ------=_NextPart_01C68298.FE3A95D0 Content-Location: file:///C:/59286902/Spring06.Phys1112.Quiz8.SolutrionWeb_files/image001.wmz Content-Transfer-Encoding: base64 Content-Type: application/x-ms-wmz H4sIAAAAAAACC7t+9tgsBgjge8DIwAlifAwEM5i1GRkYmBhEwZKsQMzJBGKxADETIyNYhJHp//// YBE9RgmwiCETI1Q1NxNMHw8T0GQ+ISBLjY2fQYrhP0gTgwCQfwDI2grEB3gZGKYCNXJD1fAw+CaW ZIRUFqQyMASAXfCb6cA/iDMnMIJdwcQgEJKZm1qs4JdarhCUn5uYx8DgB3KJLlCeA0gbcTkwJvGC FOvA+We5QfxsON+RC+RIcwMY/yMnSF4PLh8I5luAgwXEP8bCDGTleiBMvMUMUmEA53cxo5rgxQSy wchIANMPTCA/BFfmJuXnANlglzOCw/IDkg9yeUBKw+H8BA4Q3xZhPiOEjx5GjATDCGITI9wkd3aQ niA435UBxPdh4ILGCRc43sCBzwDxjQADO5i3BxzTjExMSsGVxSWpuRCzkX3DDFYHANSdFsxsAgAA ------=_NextPart_01C68298.FE3A95D0 Content-Location: file:///C:/59286902/Spring06.Phys1112.Quiz8.SolutrionWeb_files/image002.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhlgAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABACO AAsAgAAAAAAAAAK4BIKmy4uhXjtpTkmhjU9vhjmdETpW55nfFR2t6q4vKdO27KWxm4P6DdzVWLDb b5M6NpLDHtFZDAKVQ6EV2kpgqUUuyKrC2ipH5gV1+qqvWogG5SWNRPOoWsyzC+Mf3Q//Nqa3JLXi lma05EdUmFEyUwgouFcT6FO3Uzbzd7WWWTVpuUkYIwpG2siomXiX5XboWNE0gjYmy/EaK5ermMO3 G3bZS7H7igmKnIyjzNxc6Qzd/BtN3QdQAAA7 ------=_NextPart_01C68298.FE3A95D0 Content-Location: file:///C:/59286902/Spring06.Phys1112.Quiz8.SolutrionWeb_files/image003.wmz Content-Transfer-Encoding: base64 Content-Type: application/x-ms-wmz H4sIAAAAAAACC7t+9tgsBjBwYD/AyMgJYk2IYGQAMpjvANlMDKJgWVYg5mQCsVhAooyMYBFGpv// /4NF9BglwCKGTIxQ1dxMMH08TAcYHdiFgCw1Nn4GKYb/IE0MAkD+ASDrKojHzsAwFaiRG6qGh8E3 sSQjpLIglYEhAOyC30wH/kHcOYER7AomBoGQzNzUYgW/1HKFoPzcxDwGhhqQS3SB8iBvGHEpMOqz MgNZBW72cJFkJpAaMyNTAwFMU5lApgZX5ibl5zAwQcxiBPvuA1CWA2pCBiNIqS2GqxgJugpiEiPc JEMGkB5nBi6or7nAIQP2HgPEdQKggAGCPeCwZGRiUgquLC5JzYWYhew6ZrA6AHXyTLXOAQAA ------=_NextPart_01C68298.FE3A95D0 Content-Location: file:///C:/59286902/Spring06.Phys1112.Quiz8.SolutrionWeb_files/image004.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhTgASAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwBI AAwAgAAAAAAAAAJphIMQxu2dVDwRrYelvZZdmYXf6JVH+JAqhGKfw5Fna9YT7YIwq9T7xEm9XJth hceSwY4aYw+XUT6TPmRw+hwKN7sZtiS1enkvbUt2nYU9VzOkA33HOnCKu1e5jeP8PtIPGHgmSFgo x1cAADs= ------=_NextPart_01C68298.FE3A95D0 Content-Location: file:///C:/59286902/Spring06.Phys1112.Quiz8.SolutrionWeb_files/filelist.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C68298.FE3A95D0--