Question

11. A uniform wire of resistance R is cut into two ed
pieces, and these pieces are joined in parallel. W
is the resistance of the combination?​

Answer 1

Answer:Resistance of a wire is directly proportional to its length. Hence, a uniform wire of resistance R is cut into 3 smaller pieces, the resistance of each of the smaller wires would be R/3.

Answer 2

Answer:

$\frac{R}{4}$

Explanation:

We know that Resistance is given by

$R = \frac{ρl}{a}$

Hence when it is cut into two pieces, each piece will have resistance

$\frac{R}{2}$

Now two such resistances are connected in parallel

Equivalent resistance is given by

$\frac{ \frac{R}{2} \times \frac{R}{2} }{ \frac{R}{2} + \frac{R}{2} } = \frac{R}{4}$