Question

Calculate the equivalent resistance for both circuits.

Series circuit:
2 and 4
Parallel circuit:
21 and 42
Which circuit has the higher equivalent resistance?
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CU

Answer 1

Series equivalent resistance:
`R_(eq) = 6 \Omega`

Parallel equivalent resistance:
`R_(eq)=14\Omega`

Step-by-step 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

`(1)/(R_(eq)) = (1)/(R_(1))+(1)/(R_(2))`

Which can be simplified to

`R_(eq)=(R_(1)* R_(2))/(R_(1)+R_(2))`

`R_(eq)=(21* 42)/(21+42)`

`R_(eq)=14\Omega`

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