Question

Calculate the equivalent resistance for both circuits.

Answer 1

Answer:

Series equivalent resistance: $R_{eq} = 6 \Omega$

Parallel equivalent resistance: $R_{eq}=14\Omega$

Explanation:

The equivalent resistance in series circuit is calculated as

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

$R_{eq} = 2 + 4$

$R_{eq} = 6 \Omega$

The equivalent resistance in parallel circuit is calculated as

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

Which can be simplified to

$R_{eq}=\frac{R_{1}\times R_{2}}{R_{1}+R_{2}}$

$R_{eq}=\frac{21\times 42}{21+42}$

$R_{eq}=14\Omega$

The parallel circuit has the higher equivalent resistance as compared to series circuit.