Draw a simple circuit diagram consisting of resistors r1 r2 r3 connect...
Simple Circuit Diagram with Resistors Connected in Parallel
To draw a simple circuit diagram consisting of resistors connected in parallel, we will follow the given specifications. Let's begin by understanding the concept of resistors connected in parallel and then proceed to draw the circuit diagram.
Parallel Connection of Resistors:
When resistors are connected in parallel, the current flowing through each resistor remains the same. In this configuration, the voltage across each resistor is also the same. The total resistance in a parallel combination is calculated using the formula:
1/R_total = 1/R1 + 1/R2 + 1/R3 + ...
Circuit Diagram:
The circuit diagram will consist of three resistors, R1, R2, and R3, connected in parallel. These resistors will be connected to a battery of three cells, each with a voltage of 1.5 volts. Here is how the circuit diagram will look:
```
_______ _______ _______
| | | | | |
--| R1 |------------| R2 |------------| R3 |--
|_______| |_______| |_______|
| | |
| | |
-----+--------------------+--------------------+-----
(+) (+) (+)
```
In the above diagram, the three resistors, R1, R2, and R3, are represented by rectangular shapes. The lines connecting the resistors represent the parallel connection. The positive terminals of the battery cells are connected together, and the negative terminals are also connected together.
Explanation:
1. In a parallel circuit, the voltage across each resistor remains the same. Therefore, each resistor will have a voltage of 1.5 volts across it.
2. The current flowing through each resistor is the same. This is because the current entering the parallel combination splits into multiple paths, with each resistor carrying a fraction of the total current.
3. The total resistance in a parallel combination can be calculated using the formula mentioned earlier. For example, if R1, R2, and R3 have resistances of 2 ohms, 3 ohms, and 4 ohms respectively, the total resistance (R_total) can be calculated as follows:
1/R_total = 1/2 + 1/3 + 1/4
R_total = 1 / (1/2 + 1/3 + 1/4)
4. Once the total resistance is calculated, Ohm's law can be used to determine the total current flowing through the circuit. Ohm's law states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R):
I = V / R_total
5. The total current flowing through the circuit will be divided among the parallel resistors, with each resistor carrying a fraction of the total current.
This is a simple circuit diagram consisting of resistors connected in parallel. It demonstrates the concept of parallel connections and allows for the calculation of total resistance and total current in the circuit.
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