Question

What is the highest equivalent resistance that can be secured by combinations of four coils of resistance $4\Omega$, $8\Omega$, $12\Omega$, $24\Omega$?

• A. $24\Omega$
• B. $48\Omega$
• C. $12\Omega$
• D. $4\Omega$

Answer 1

The correct option is B $48\Omega$

Connecting resistances in series with each other increases the equivalent resistance of the combination.

Let $4\Omega$, $8\Omega$, $12\Omega$, and $24\Omega$ resistors are connected in series.

$\therefore$ Equivalent resistance of the circuit

$R_{eq}=4+8+12+24$

$\Rightarrow R_{eq}=48$ ohm