Question

Two identical resistors are first connected in series and then in parallel .Find the ratio
of equivalent resistances in two cases

Answer 1

When connected in series, the current flow in them will be:

I=V/R where V=the source voltage,R=the TOTAL of their resistance.

When connected in parallel, use the same Ohm’s law equation, except here, V=the source voltage, R=the value of each resistor. The total current flowing in both resistors will be the sum of the two currents.

To find the ratio-just divide one by the other.

Answer 2

the equivalent resistance in series is R=R1+R2
here in the question given as identical so R1=R2
R=2R
The equivalent resistance in parallel is 1/R=1/R1+1/R2
as identical R= R/2
the ratio is 2R:R/2
= 4:1