Answer:
Series equivalent resistance: [tex]R_{eq} = 6 \Omega[/tex]
Parallel equivalent resistance: [tex]R_{eq}=14\Omega[/tex]
Explanation:
The equivalent resistance in series circuit is calculated as
[tex]R_{eq} = R_{1} + R_{2}[/tex]
[tex]R_{eq} = 2 + 4[/tex]
[tex]R_{eq} = 6 \Omega[/tex]
The equivalent resistance in parallel circuit is calculated as
[tex]\frac{1}{R_{eq}} = \frac{1}{R_{1}}+\frac{1}{R_{2}}[/tex]
Which can be simplified to
[tex]R_{eq}=\frac{R_{1}\times R_{2}}{R_{1}+R_{2}}[/tex]
[tex]R_{eq}=\frac{21\times 42}{21+42}[/tex]
[tex]R_{eq}=14\Omega[/tex]
The parallel circuit has the higher equivalent resistance as compared to series circuit.
