Resistance Network: A resistance network is a collection of resistors connected in a circuit. When current flows through a resistor, it encounters resistanc...
Resistance Network: A resistance network is a collection of resistors connected in a circuit. When current flows through a resistor, it encounters resistance and dissipates power.
Equivalent Resistance: The equivalent resistance of a network is the resistance of the entire network measured across all the branch points. It is calculated by adding the resistances of the individual resistors in the network.
Series Resistance: In a series network, the resistors are connected in a single loop. The total resistance of a series network is equal to the sum of the individual resistances.
Parallel Resistance: In a parallel network, the resistors are connected in multiple loops. The total resistance of a parallel network is equal to the reciprocal of the total resistance of the individual resistors.
Kirchhoff's Current Law: According to Kirchhoff's current law, the total current flowing into a junction is equal to the total current flowing out of the junction.
Voltage and Power: The voltage across a resistor is related to the current flowing through it according to the formula V = IR. The power dissipated by a resistor is calculated using the formula P = I^2R.
Examples:
A circuit with three resistors connected in a series has a total resistance of 10 ohms. If the current is 1 ampere, the total power dissipated across the resistors is 10 watts.
A circuit with two resistors connected in parallel has a total resistance of 5 ohms. If the voltage is 10 volts, the equivalent resistance for the combined circuit is 2.5 ohms.
In a parallel circuit with three resistors, the total resistance is 2 ohms. If the voltage is 12 volts, the total power dissipated across the resistors is 36 watts