Which of the following quantities do not change when a resistor connec...
Resistance, resistivity and drift velocity varies with relaxation time which is dependent on temperature. Number of free electrons in a conductor remains
invariant even if its temperature changes.
Only number of free electrons is constant, other factors are temperature dependent.
Which of the following quantities do not change when a resistor connec...
Number of free electrons
The number of free electrons in a material remains constant even when a resistor connected to a battery is heated due to the current. This is because the number of free electrons in a material is determined by its atomic structure and the material itself. Heating the resistor may cause the free electrons to move more vigorously, increasing the current flow, but it does not change the actual number of free electrons present in the material.
Other quantities that do not change
- Drift speed: The drift speed of electrons in a conductor is directly proportional to the current flowing through it. When a resistor is heated, the drift speed may increase due to increased thermal agitation of electrons, but the overall relationship between drift speed and current remains the same.
- Resistivity: The resistivity of a material is an intrinsic property that depends on the material's composition and temperature. When a resistor is heated, its resistivity may change, but this change is due to the material properties and not the number of free electrons.
- Resistance: The resistance of a resistor is determined by its resistivity, length, and cross-sectional area. When a resistor is heated, its resistance may change due to the change in resistivity, but the number of free electrons in the material remains constant.
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