Here's why:

* Ohm's Law: Ohm's Law states that the voltage across a conductor is directly proportional to the current flowing through it, with the constant of proportionality being the resistance.

* Linear Relationship: Ohmic components exhibit a linear relationship between voltage and current. This means if you double the voltage across the resistor, the current flowing through it will also double.

* Constant Resistance: A 10 ohm resistor is designed to have a constant resistance of 10 ohms, regardless of the voltage or current applied (within its operating limits).

Important Note: While a 10 ohm resistor is inherently ohmic, its behavior might deviate slightly from a perfectly linear relationship at very high temperatures or extremely high currents. However, under normal operating conditions, it will exhibit the characteristics of an ohmic device.