Lect10 - # ! " Reffective R1 1 R1 R2 1 R2 R3 ... !...

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Unformatted text preview: # ! " Reffective R1 1 R1 R2 1 R2 R3 ... ! ! $ # 1 Reffective 1 ... R3 % ' & = I1234 '& 5 ( ) ' * ) ' - % . / = I1234 * + ,( - + # 5 ' ! 2 1 - * 0/ 1 ) ! 2 3 E dl V 1 loop 3 V 1 0 & 2 2 1 3 1 0 loop 3 E dl 1 2 3 0 V1 V2 V2 V3 V3 V1 0 loop Vi True for any loop + Node - * 0/ % I1 I4 I2 I3 I in I1 I out I2 I3 I4 4 6! In the following circuit, consider the loop abc. The direction of the current through each resistor is indicated by black arrows. DROP GAIN N AI G If we are to write Kirchoff's voltage equation for this loop in the clockwise direction starting from point a, what is the correct order of voltage gains/drops that we will encounter for resistors R1, R2 and R3? A A. drop, drop, drop B. gain, gain, gain C. drop, gain, gain B gain, drop, drop D. E. gain, gain, drop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ode Outer loop Bottom loop Top loop 6 " / / ) - - "' :>,? >C? > ? >8 ? :- ) " < " A "' A B" A "' A ' B "' ' B " A A" B" >8 ? ) >A ' ' / % ? A >A" ? A >A" 6) ? A >B ? < ) >8 ? ! !# " " "' " " // 6 ) ' ' :- % ) B B B & = < < < # " < " A "' A B" A "' ' A ' B "' ' B " & A A" A" :// ; ; ; += : += - - ' = ' ) # / ' ' ,? , ' ) C? & ? ' & ' "( 8 + + ( 8 + ( = ' & ( . "( 8 + + ( 8 + ( A += ' < B += & += ) > ' &? ' " " "' " :% ' = " < " A "' B" A "' A" A" ' 6 " // ' B B ' ) ' ' 6 ) < < " " "' >4? : % ) ! # = % < < < < ' 3 < < ' & # " " " "' current direction ! 6 ) ' " // 6 ) % ' = :- " < " A "' A B" A "' B < > ? A A" > ?A" B < > !? :- ! " < > $E? $ " < > '$E? $ "' < >B $E? $ % # E F " " 1 ) BI ! :6 )# " < > $E? $ " < > '$E? $ "' < >B $E? $ "' : >,? >C? > ? >8 ? 1 1 1 1 !! ) '# - !! 1 >% " /? - / )# 1 2 C 1 " "' A < ! += ; < # 1 4 a b V R R " ,? 0 C? ( ,J C % ) 1 ! ! , ) 1 ) 1/ ( ) 1 ) ) ) ) ,J C 5 6! ' Consider the circuit shown below. Note that this question is not identical to the similar looking one " " you answered in the prelecture. " " "' "& Which of the following best describes the current flowing in the blue wire connecting points a and b? " ;" > ?< ?< " <K " "& < "' "& ; "' > # " < " A "' 1# " A " < "& " B "' A K " < "' " < "' " < A"' 9 6! - / ' ) 1 ' - / ) 1 @ I 2/ I 3 R a 1/ I 3 2R b V 2/ I 3 V/2 2R R 1/ I 3 2/ I 3 2/ I 3 0 Consider the circuit shown below. 6! ", '1 "C c c In which case is the current flowing in the blue wire connecting points a and b the largest? A. Case A B. Case B C. They are both the same ) " 1 ) < $ 1 " < "& "C < " ; "& ", < " ; " < " ; "& L C #" + r V0 R VL V0 r R VL Usually can't supply too much current to the load without voltage "sagging" ...
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