Question

Three resistors with magnitudes $2,4$ and $8$ ohm are connected in parallel. The equivalent resistance of the system would be _______.

• A. less than $2$ ohm
• B. more than $2$ ohm but less than $4$ ohm
• C. $4$ ohm
• D. $14$ ohm

Answer 1

Answer: (A)

less than $2$ ohm

Equivalent resistance of parallel combinations

$\frac{1}{R_p}=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}$

$⟹R_p=\frac{8}{7}\Omega$

Thus equivalent resistance is less than $2\Omega$.