Question

A metal wire of length 1cm and of uniform diameter has a resistance of 0.8 ohms. What is the resistance of a 50 cm wire coil made of the same material but having twice its diameter.

Answer 1

$\sf\small\green{Given:-}$

$\sf \: L = 1 cm$

$\sf R = \jmath \frac{l}{A}$

$\sf\small\green{Find:-}$

What is the resistance of a 50 cm wire coil made of the same material but having twice its diameter.

$\sf\small\green{Solution:-}$

$\sf0 : 8 = \frac{1 \: cm}{A}$

$\sf\underbrace { S = 0 : 8 × A}$

$\sf R = \jmath \: \frac{l}{A}$

$\sf = 0.8 \times \frac{50 \times {A}}{ A}$

$\sf \: = 0.8 \times 25$

$\sf \dashrightarrow \ \red{20 \: \mho}$

#Quality answer