Question

resistance of a conductor of length 75 cm is 3.25 ohm . calculate the length of a similar conductor whose resistance is 16.25ohm

Answer 1

375 cm
i hope this will help u

Answer 2

Answer:

Length of conductor = 325 cm

Step-by-step explanation:

Resistance of a conductor of length 75 cm is 3.25 ohm

⇒ R = 3.25 ohm and l = 75 cm

Let length of another conductor whose resistance is 16.25 ohm be x

⇒ R = 16.25 ohm and l = x cm

Since, The both conductors are similar to each other so that their resistances will be proportional to each other.

$\text{Resistance of a conductor is given by : }R=\frac{\rho\cdot l}{A}$

$\implies\frac{3.25}{16.25}=\frac{\rho\times 75}{A}\times\frac{A}{\rho\times x}$

$\implies x = \frac{75\times 16.25}{3.25}\\\\\implies x = 325\text{ cm}$