Resistance is the opposition presented to electric current by a material or device
Ohm’s law states that current passing through a wire is directly proportional to the potential difference between its terminals
The SI units for measuring the resistance of a conductor is the Ohm (Ω)
Resistors can be connected in series or in parallel
Resistors can be connected together in an unlimited number of series and parallel combinations to form complex resistive circuits
A Series Circuit describes two or more components of a circuit that provide a single path for current
Resistors in Series carry the same current
The equivalent resistance in a series circuit is the sum of the circuit’s resistances
Two or more resistors in the actual circuit have the same effect on the current as one equivalent resistor
The total current in a series circuit equals the potential difference divided by the equivalent resistance
One bulb burning out in a series circuit breaks the circuit
In parallel circuits, each bulb has its own circuit, so all but one bulb could be burned out, and the last one will still function
A voltage divider is a simple circuit that turns a large voltage into a smaller one
A voltage divider produces a source of potential difference that is less than the potential difference across the battery
A photoresistor’s resistance depends on the amount of light that strikes it
A photoresistor is sensitive to light. Its resistance decreases when lighting increases
Voltage dividers are often used with sensors, such as Photoresistors
In this device, an electronic circuit detects the potential difference and converts it to a measurement of illuminance that can be read on the digital display
Light meters used in photography use a voltage divider. The amount of light striking the photoresistor sensor determines the voltage output of the voltage divider
For a circuit with a 22 Ω and a 33 Ω resistor connected in series across a 120 V potential difference:
The equivalent resistance of the circuit is 55 Ω
The current in the circuit can be calculated using Ohm's Law
For three resistors of 3.3 kΩ, 4.7 kΩ, and 3.9 kΩ connected in series across a 12 V battery:
The equivalent resistance of the circuit needs to be calculated
The current through the resistors can be determined
Resistors in Parallel:
Components in a parallel circuit provide separate conducting paths for current
Parallel circuits do not require all elements to conduct
Equivalent Resistance for Resistors in Parallel:
The total current in parallel resistors equals the sum of individual currents
The potential energy loss is the same across all parallel resistors
For a circuit with four resistors in parallel:
Calculate the equivalent resistance for the circuit
Determine the total current in the circuit
For three 15.0 Ω resistors connected in parallel across a 30.0 V battery:
Find the equivalent resistance of the parallel circuit
Calculate the current through the entire circuit
Determine the current through each branch of the circuit
If one 15.0 Ω resistor is replaced by a 10.0 Ω resistor in the previous problem:
The equivalent resistance changes
The current through the entire circuit changes
The current through the other 15.0 Ω resistors remains the same
For a circuit with a 120.0 Ω, 60.0 Ω, and 40.0 Ω resistor connected in parallel across a 12.0 V battery:
Calculate the equivalent resistance of the parallel circuit
Determine the current through the entire circuit
Find the current through each branch of the circuit
Kirchhoff's Rules:
Kirchhoff formulated two rules for electric circuits: the loop rule and the junction rule
The loop rule is based on the law of conservation of energy
The junction rule is based on the law of conservation of charge
The Loop Rule:
The sum of voltage differences around a loop in an electric circuit must be zero
The Junction Rule:
The total current into a section of an electric circuit equals the total current out of that section
For a series circuit with a switch and a 75 W bulb connected to a 120 V source:
The potential difference across the switch when closed is 0 V
Adding another 75 W bulb in series results in 0 V potential difference across the switch
For a series circuit with four resistors and a known current through one resistor:
Calculate the total current supplied by the source
For a parallel circuit with four branch currents:
Determine the total current supplied by the source