Question

1. Two resistors in series can act together as one resistor with a resistance called the equivalent resistance. If the resistance of the two resistors are R₁ and R₂, where R₁ > R₂, rank the two resistance and the equivalent resistance in order of small to large. Give a conceptual explanation.

2. Two resistors in parallel can act together as one resistor with a resistance called the equivalent resistance. If the resistance of the two resistors are R₁ and R₂, where R₁ > R₂, rank the two resistance and the equivalent resistance in order of small to large. Give a conceptual explanation.

Answer 1

Multiple questions posted, so answering only the first question:

1.When 2 resistances r1 and r2 are in series, their equivalent resistance is given by: r1+r2.

So, for the given resistances R1 and R2, their equivalent will be R1+R2.

Now, it is given that R1>R2.

Also, since resistances are always positive, R1+R2 > R1 and R1+R2>R2.

So, R2<R1<(R1+R2)

=>R2<R1<Req, where Req is the equivalent resistance when R1 and R2 are connected in series.