Step 1: Understanding the Concept:
Ohmic resistances (or conductors) are those that obey Ohm's Law, which states that the current (I) through a conductor is directly proportional to the voltage (V) across it, provided the temperature and other physical conditions remain unchanged (\(V \propto I\)).
Non-ohmic resistances are those that do not obey Ohm's Law. Their V-I relationship is not linear.
Step 2: V-I Graph for Ohmic Resistance:
According to Ohm's Law, \(V = IR\). If R is constant, this is the equation of a straight line passing through the origin, with the slope equal to the resistance R (\( \text{Slope} = \frac{\Delta V}{\Delta I} = R \)).
Step 3: V-I Graph for Non-Ohmic Resistance:
For non-ohmic devices, the resistance is not constant but changes with voltage or current. The V-I graph is a curve, not a straight line. Examples include semiconductor diodes, transistors, and thermistors.
Graph Explanation:
Ohmic: A straight line through the origin indicates a constant ratio of V to I, meaning constant resistance.
Non-Ohmic: The curve shows that the ratio of V to I (the resistance) is not constant. The slope of the tangent at any point on the curve gives the dynamic resistance.
Establish the relation between the resistances of arms of wheatstone bridge in balance conditions.
OR
The ratio of lengths and masses of three wires of same metal are 3 : 2 : 1 and 1 : 2 : 3 respectively. Find the ratio of resistances of those wires.}