Question

A conducting wire of uniform thickness having resistance ‘ x ’ is cut into three pieces of equal lengths.
What is the combined resistance when they are connected in ; i) series ;

Answer 1

Answer:

resistance is directly proportional to the length of the wire

equal part will have equal resistance

fraction numerator 1 over denominator R e f f end fraction equals 1 over R plus 1 over R plus 1 over R

fraction numerator begin display style 1 end style over denominator begin display style R e f f end style end fraction equals 3 over R

R e f f equals R over 3 space o h m s

current is inversely proportional to the resistance

since there are equal resistances in parallel. Equal amount of current will flow through each part