Question

A resistor of $16\Omega$ is cut into 4 equal parts. These parts are now connected in parallel. The equivalent resistance of the combination is

• A. $2\Omega$
• B. $1\Omega$
• C. $4\Omega$
• D. $0.5\Omega$

Answer 1

The correct option is B $1\Omega$

If a $16\Omega$ resistor is cut into four equal parts, then if its resistance is uniformly distributed across its length, then four resistors each of resistance $4\Omega$ are obtained.
Now if four $4\Omega$ resistors are connected in in parallel, then the effective resistance will be,
$\frac{1}{R}=\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$
$R=1\Omega$.