Question

29
5
(i) Consider a conductor of resistance 'R'. length 'L'. thickness'd' and resistivity 'p'.
Now this conductor is cut into four equal parts. What will be the new resistivity of
each of these parts? Why?
(in) Find the resistance if all of these parts are connected in:
(a) Parallel
(b) Series

(in) Out of the combinations of resistors mentioned above in the previous part, for a
given voltage which combination will consume more power and why?​

Answer 1

Answer:

A piece of wire of resistance r is cut into 4 equal parts. So, each of this part will have resistance equal to r / 4. There are four parts of cut wire each with resistance equal to r / 4. Hence, the equivalent resistance of the combination when connected in parallel is r / 16.