A metal cube of edge 2 cm is drawn into auniform wire of length 2 m. Then the wire is cut into 3 pieces ofequal length and the pieces are connected in parallel. What is theeffective resistance of the combination ? The resistivity of themetal is ? = 0.5 x 10

^{-6 ?-m.}Comments

## Answers ( 1 )

The volume of cube V = side^{3}volume of cube = volume of cyclinder= A * hArea of wire A= side^{3}/ h= 4*10^{-6}mThe Resistance of the wire R = ?l / A =0.25?The wire is cut into three pieces of equallengthTherefore, R_{1}= R_{2}= R_{3}= ( ?l / 3 ) / ATaking the ratios

R / R

_{1}= 30r R

_{1}= R / 3 = 8.33*10^{-2}?When three such wires are connected in parallelR_{eq}= R_{1}/ 30r R_{eq}= 2.78*10^{-2}?