First slide

combination of resistance

Question

If a wire of 1 ohm resistance is stretched to double its length, then the resistance will become

Moderate

A

$\frac{1}{2} Ω$
B

$2 Ω$
C

$1 Ω$
D

$4 Ω$

Solution

$\begin{array}{rcl} R & = & \frac{ρ l}{A}; l A = 2 l A^{1} \\ A^{1} & = & \frac{A}{2} \\ R^{1} & = & \frac{ρ 2 l}{A / 2} = 4 R = 4 Ω \end{array}$

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