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

Answer:

A circuit with two 10 ohm resistors connected in series.

Explanation:

The formula for the equivalent resistance for resistors in parallel is

$\frac{1}{Rt} = \frac{1}{R1} + \frac{1}{R2}$   So if R1=R2= 10  $\frac{1}{Rt} = \frac{1}{10} + \frac{1}{10} = \frac{2}{10} Rt =\frac{10}{2} =5 ohm$

The formula for the equivalent resistance for resistors in series is

Rt = R1 + R2  So Rt= 10 + 10 = 20