Question

Which circuit has the larger equivalent resistance: a circuit with two 10 ohm resistors connected in parallel or a circuit with two 10 ohm resistors connected in series?

Answer 1

A circuit with two 10 ohm resistors connected in series.

Step-by-step explanation:

The formula for the equivalent resistance for resistors in parallel is

`(1)/(Rt) = (1)/(R1) + (1)/(R2)` So if R1=R2= 10
`(1)/(Rt) = (1)/(10) + (1)/(10) = (2)/(10) <=> Rt =(10)/(2) =5 ohm`

The formula for the equivalent resistance for resistors in series is

Rt = R1 + R2 So Rt= 10 + 10 = 20