To solve the problem, we need to understand the SI unit of resistivity.
1. Formula for Resistivity:
Resistivity ($\rho$) is defined as the resistance of a material per unit length and per unit cross-sectional area. The formula for resistivity is:
$ \rho = R \times \frac{A}{L} $
where $R$ is the resistance, $A$ is the cross-sectional area, and $L$ is the length.
2. SI Unit of Resistivity:
The unit of resistance is ohms ($\Omega$), the unit of length is meters (m), and the unit of area is square meters (m²). Hence, the SI unit of resistivity is:
$ \Omega \cdot \text{m} $
Final Answer:
The SI unit of resistivity is $ {\Omega \cdot \text{m}} $
A wire of length and resistance \(100\) is divided into 10 equal parts. The first \(5\) parts are connected in series while the next \(5\) parts are connected in parallel. The two combinations are again connected in series. The resistance of this final combination is: