Question

A resistance wire of 6$\Omega$ is cut into four equal parts . What is the resistance of each part?

Answer 1

• Resistance is directly proportional to the length of the conductor
• When length increases , the resistance also increases
• When the resistor is divided into four equal parts , the length decreases by a fraction of$\frac{1}{4}$
• Total resistance , R = 6 $\Omega$

Resistance of each piece =$\frac{6}{4}$

=1.5$\Omega$

• When the resistor is divided into four equal parts , each resistor gives 1.5$\Omega$