Question

Find the resistance of the wire in the diagram. Put your answer in the box
without units
- L = 207mm-
p= 10032mm
d = 4mm

Answer 1

Answer:

The Resistance of wire is 21561.305 ohm  .

Explanation:

Given as :

The length of wire = l = 207 mm

The resistivity of wire = $\rho$ = 10030 ohm-mm

Let The resistance of wire = R ohm

The diameter of wire = d = 4 mm

So, The radius of wire = r = $\dfrac{d}{2}$ = $\dfrac{4}{2}$

i.e r = 2 mm

Now, The Area of wire = A = π × radius²

i.e A = 3.14 × 2²

Or. A = 12.56 mm²

i.e Area = 12.56 mm²

Since Resistance of wire in terms of length and area is given as

∵ Resistance = $\dfrac{\rho \times length}{Area}$

i.e R = $\dfrac{\rho \times l}{A}$

Or, R = $\dfrac{10030 \times 207}{12.56}$   $\Omega$

i.e R = $\dfrac{270810}{12.56}$ ohm

Or, R = 21561.305  ohm

So, The Resistance of wire = R = 21561.305 ohm

Hence, The Resistance of wire is 21561.305 ohm  . Answer