Solved Example on KCL and KVL 111

Solved Example on KCL and KVL (Kirchhof’s Laws) Example: Resistors o R! "#$ R% ! &# and R' ! # are connected p to two two *atteries (o ne+li+i*le resistance) as shown, -ind the crrent thro+h each resistor,

Soltion: .ssme crrents to /ow in directions indicated *0 arrows, .ppl0 KCL KCL on 1nctions C and .,  2hereore$ crrent crrent in mesh .3C .3C ! i Crrent in 4esh C. ! i%  2hen crrent in 4esh C5. C5. ! i 6 i% 7ow$ .ppl0 KVL on 4esh .3C$ %"V are actin+ in cloc8wise direction, E9atin+ the sm o R prodcts$ we +et; "i < &i% ! %" =====, () n mesh .C5$ % volts are actin+ in cloc8wise direction$ then: (i6i%) 6 &i%! % i 6 i% 6 &i%! % i 6 %i% ! % =====, (%)

4ltipl0in+ e9ation () *0 '; '"i < %i% ! >" Solvin+ or i '"i < %i% ! >" i 6 %i% ! %  ??????????????  'i ! @%

 2he a*ove e9ation can *e also simpliAed *0 Elimination or Cramer’s Rle, i ! @%B' ! ,D .mperes ! Crrent in " hms resistor S*stittin+ this vale in ()$ we +et: "(,D) < &i% ! %" &i% ! %" 6 ,D i% ! ",%>' .mperes ! Crrent in & hms Resistors, 7ow$ i 6 i% ! ,D 6 ",%>' ! ,>'% .mperes

Fsin+ Kirchhof’s laws to solve circit with two power spplies

Solve the ollowin+ circit with

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2his circit has ' independent loops and ' independent nodes, le : Solve the ollowin+ circit:

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