Question

The placement of resistors in a circuit is one factor that can determine the current passing through the resistor. You will be given three circuits, and for each circuit you will be asked to compare the current through the various resistors.

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Rank the resistors in the figure below (A to C) on the basis of the current that flows through them. Rank from largest to smallest. To rank items as equivalent, overlap them.

Answer 1

Rank the resistors in the figure below (A to C) on the basis of thecurrent that flows through them. Rank from largest to smallest. Torank items as equivalent, overlap them.

let A=B=C=R

A and B are in series so their total resistance=2R
now 2R and R are connected in parallel.
hence the net resistance=2R*R/3R=2R/3
now current through the circuit i=V/R=3V/2R

current passing through A = i*R/3R=3V/2R *R/3R=V/2R

as A and B are in series same current passes through them.
current through C is 3V/2R-V/2R=V/R

hence
C A,B or C,B,A
as
A and B are equal