how can 3 resistor of resistance 2 ohm 3 ohm and 6 ohm be connected to...
Connecting Resistors to Give Total Resistance
Introduction
The resistance of a circuit is the measure of how much the circuit opposes the flow of current. In electronic circuits, resistors are used to control the amount of current flowing through the circuit. Different combinations of resistors can be connected to give a specific total resistance.
Connecting Three Resistors
To give a total resistance of 4 ohms, we can connect the three resistors in series. This means that the resistors are connected end to end, so that the current flows through each resistor in turn.
To connect three resistors in series, follow these steps:
1. Connect one end of the first resistor to the positive terminal of the power supply.
2. Connect the other end of the first resistor to one end of the second resistor.
3. Connect the other end of the second resistor to one end of the third resistor.
4. Connect the other end of the third resistor to the negative terminal of the power supply.
The total resistance of the circuit is the sum of the individual resistances:
Total resistance = 2 ohm + 3 ohm + 6 ohm = 11 ohm
To give a total resistance of 1 ohm, we can connect the three resistors in parallel. This means that the resistors are connected side by side, so that the current is divided between them.
To connect three resistors in parallel, follow these steps:
1. Connect one end of each resistor to the positive terminal of the power supply.
2. Connect the other end of each resistor to the negative terminal of the power supply.
The total resistance of the circuit can be calculated using the formula:
Total resistance = 1 / (1/2 + 1/3 + 1/6) = 1 ohm
Conclusion
Different combinations of resistors can be connected to give a specific total resistance. Connecting resistors in series increases the total resistance, while connecting resistors in parallel decreases the total resistance. By following the steps outlined above, we can connect three resistors of different values to give a specific total resistance.