2 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

Calculate current in the circuit

calculate current in the circuit

Calculate current in the circuit

95

5 volts

To draw the circuit diagram, we start with the given information:

Two cells connected in series:
- Each cell has an electromotive force (EMF) of 2V
- Each cell has an internal resistance of 0.5Ω

Now, let's connect these two cells in series:

_____ _____
-------| |-----| |--------
| 2V | | 2V |
|_____|_____|_____|

The combination of three resistors is connected to these cells.

1. In order to calculate the current in the circuit, we need to find the total resistance. Let's calculate that first:

The resistor of 2Ω is connected in series, and the parallel combination of two resistors of 3Ω each is connected in parallel.

_____
------| |-----
| 2Ω |
|_____|
_____
----- | |-----
| 3Ω |
|_____|
_____
------| |-----
| 3Ω |
|_____|

The equivalent resistance of the parallel combination of two 3Ω resistors can be found using the formula:

1/Req = 1/R1 + 1/R2

1/Req = 1/3Ω + 1/3Ω
= 2/3Ω

Req = 3/2Ω

Now, the total resistance of the circuit can be found by adding the series resistance (2Ω) and the equivalent resistance (3/2Ω):

Rt = 2Ω + 3/2Ω
= 4/2Ω + 3/2Ω
= 7/2Ω

The total resistance (Rt) is 7/2Ω.

Now, let's calculate the current (I) using Ohm's Law:

I = V / R

Since our cells are connected in series, the total voltage (V) will be the sum of the EMFs of the cells:

V = 2V + 2V
= 4V

I = 4V / (7/2)Ω
= 8/7 A

So, the current in the circuit is 8/7 Amperes.

2. To calculate the potential difference across the parallel combination of resistors, we can use the fact that the potential difference across components in parallel is the same:

Therefore, the potential difference across the parallel combination of the resistors will be the same as the potential difference across each individual resistor.

The potential difference across the parallel combination is equal to the potential difference across one of the 3Ω resistors, which can be calculated using Ohm's Law:

V = I * R
= (8/7 A) * (3Ω)
= 24/7 V

So, the potential difference across the parallel combination of resistors is 24/7 Volts.

3. Lost voltage refers to the voltage drop across the internal resistance of the cells. To find the lost voltage, we can use Ohm's Law:

Lost Voltage = Current * Internal Resistance

Lost Voltage = (8/7 A) * (0.5Ω)
= 4/7 V

So, the lost voltage of the battery is 4/7 Volts.

Thanks