Resistance Flashcards
Resistance
The resistance (R) of a conductor is the ratio of the p.d. across it to the current flowing through it
- is a scalar quantity
- unit of resistance is the ohm
The ohm
A conductor has a resistance of 1 ohm if the current through it is 1 ampere when the p.d. across it is 1 volt
Measuring resistance
- using an ammeter and voltmeter
- using an ohmmeter
Ohmic conductors
Conductors (mainly metals and some liquids) that obey ohms law
Ohm’s law
For certain conductors (mainly metals), at constant temperature the current flowing through them is directly proportional to the p.d. across them
The constant of proportionality is the resistance (R) of the conductor
Practical resistors
Some conductors are specially made to have a resistance of a specific value
Variable resistors
One type of variable resistor is called a rheostat
Resistors in series
If two or more resistors are connected in series the total resistance of the combination is equal to the sum of the resistances of each resistor.
R = R1 + R2 + R3
Resistors in parallel
If resistors of resistances R1, R2 and R3 ohms are connected in parallel with each other, the resistance of the combination can be calculated from the Formula:
1/R = 1/R1 + 1/R2 + 1/R3
Factors affecting the resistance of a conductor
- its temperature
- its length
- its cross-sectional area
- the material from which it is made
Effect of increasing temperature: metallic conductors
The resistance of a metallic conductor increases as the temperature increases
The resistance changes linearly with temperature
Effect of increasing temperature: insulators and semiconductors
The resistance of an insulator or a semiconductor decreases as the temperature increases
The thermistor
‘Thermistor’ is an abbreviation for the word ‘thermal resistor’.
A thermistor is a semiconductor whose resistance decreases rapidly with increasing temperature
The resistance of a uniform conductor: length
The resistance of a uniform conductor is directly proportional to its length
R is proportional to l
(For a fixed cross-sectional area A)
The resistance of a uniform conductor: cross-sectional area
The resistance of a uniform conductor is inversely proportional to its cross-sectional area
R is proportional to 1/A
(For a fixed length l)