cells, each of Emf 2v and internal resistance 0.5ohms are connected in series .they are made to supply current to a combination of three resistors one of the resistance 2ohms is connected in series to a parallel combination of two other resistor each of resistance 3ohms.draw the circuit diagram and Calcucate
1. Current in the circuit
2. Potential difference across the parallel combination of the resistor.
3.losts volt of the battery
To solve this problem, we will break it down into steps:
Step 1: Draw the circuit diagram.
In the given problem, there are two cells connected in series, and they are supplying current to a combination of three resistors. One resistor with a resistance of 2 ohms is connected in series with a parallel combination of two other resistors, each with a resistance of 3 ohms. Let's represent the two cells as Cell 1 and Cell 2, and the three resistors as R1, R2, and R3, respectively. The circuit diagram can be drawn as follows:
Cell 1 (+)---(2V)---(0.5Ω)---R1---(3Ω)---R2---|
| Circuit
Cell 2 (+)---(2V)---(0.5Ω)------------------R3---|
|
Circuit
Ground
Step 2: Calculate the current in the circuit.
To find the total current flowing in the circuit, we can use Ohm's Law. Ohm's Law states that current (I) is equal to the potential difference (V) divided by the resistance (R). In this case, the potential difference is the sum of the potential differences across the two cells, and the total resistance is the sum of the internal resistances and the resistances of the three resistors. Let's calculate the current:
Total potential difference across the two cells: 2V + 2V = 4V
Total resistance: 0.5Ω + R1 + 3Ω (parallel combination of R2 and R3)
Using Ohm's Law, we can now compute the current:
Total current = Total potential difference / Total resistance
Step 3: Calculate the potential difference across the parallel combination.
To find the potential difference across the parallel combination of the resistors R2 and R3, we can use the fact that the potential difference across components connected in parallel is the same. Let's calculate the potential difference:
Potential difference across R2 = Total potential difference - Potential difference across R1
Step 4: Calculate the lost voltage of the battery.
The lost voltage of the battery is the difference between the potential difference produced by the cells and the potential difference across the parallel combination of resistors(R2 and R3). Let's calculate the lost voltage:
Lost voltage of the battery = Total potential difference - Potential difference across the parallel combination
Now that we have broken down the problem into steps, let's substitute the given values and solve for each step to get the final answers.