Question

two resistance 1 ohm and 2 ohm are connected in series and then in parallel the ratio of the effective resistance of the series and parallel combination of resistances

Answer 1

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Answer 2

Answer:

The ratio of effective resistance of series to parallel.

Explanation:

Concept:

Resistance in series : Resistance in series is written as:

$R_{s}=R_{1}+R_{2}$

Resistance in parallel: Resistance in parallel is written as:

$\frac{1}{R_{p} } =\frac{1}{R_{1} } +\frac{1}{R_{2} }$

Given:

R₁=1Ω

R₂=2Ω

Calculations:

Using above formulas we have;

$R_{s} = 1+2$

    = 3 Ω

$\frac{1}{R_{p} }=\frac{1}{1} +\frac{1}{2}\\ =\frac{2+1}{2} \\ =\frac{3}{2}$

Now, ratio of resistance series to parallel is

$\frac{R_{s} }{R_{p} }=\frac{3}{\frac{3}{2} }$

$\frac{R_{s} }{R_{p} }=\frac{2}{1} }$

Result:

The ratio of effective resistance of series to parallel is 2 :1