Question

The equivalent resistance of a circuit that has two equal resistors in series is $8\Omega$. Find the value of each resistor.

• A. $4\Omega$
• B. $8\Omega$
• C. $1\Omega$
• D. $2\Omega$

Answer 1

The correct option is A

$4\Omega$

Since the resistors $R_1$ &$R_2$ are in series, the effective resistance of the circuit is given by:
$R_{eff}$ =$R_1$ +$R_2$
Given: $R_1$ &$R_2$ are equal, $R_1$ = $R_2=R$
$\therefore R_{eff}=R+R=8\Omega$
$\Rightarrow 2R=8\Omega$$\Rightarrow R=4\Omega$