Resistance and resistivity
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Define electrical resistance.
Resistance (R) is the opposition to the flow of electric current in a circuit. It is defined as the ratio of voltage (V) across a component to the current (I) flowing through it: R = V/I.
State Ohm's Law.
Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points, provided the temperature and other physical conditions remain constant. Mathematically: V = IR.
Sketch the I-V characteristic for a metallic conductor at constant temperature.
The I-V characteristic is a straight line passing through the origin. This indicates a linear relationship between voltage and current, obeying Ohm's Law.
Sketch the I-V characteristic for a semiconductor diode.
The I-V characteristic shows very little current flow for negative voltages (reverse bias). Current increases rapidly for positive voltages above a threshold voltage (forward bias).
Sketch the I-V characteristic for a filament lamp.
The I-V characteristic is a curve that starts linear, but the slope decreases as voltage/current increases. This indicates that resistance increases with temperature/current.
Explain why the resistance of a filament lamp increases as current increases.
As current increases, the temperature of the filament increases. This increased temperature causes greater vibrations in the metal lattice of the filament, hindering the flow of electrons and therefore increasing resistance.
How do you calculate the resistance of a wire given its resistivity, length and cross-sectional area?
The resistance (R) is calculated using the formula: R = ρL/A, where ρ is resistivity, L is the length of the wire, and A is its cross-sectional area.
Describe how the resistance of a Light Dependent Resistor (LDR) changes with increasing light intensity.
The resistance of an LDR decreases as light intensity increases. This is because more photons excite more electrons in the semiconductor material, leading to a greater number of charge carriers and therefore a lower resistance.
Describe how the resistance of a thermistor changes with increasing temperature.
The resistance of a thermistor (specifically an NTC thermistor as used at AS level) decreases as temperature increases. Higher temperatures provide more energy to charge carriers, allowing them to move more freely and thus lowering the resistance.
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