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In a circuit two or more cell of the sam...

In a circuit two or more cell of the same emf are connected in parallel in order

A

Increases the pd across a resistance in the circuit

B

Decrease pd across a resistance in the circuit

C

Facilitate drawing more current from the battery system

D

Change the emf across the system of batteries.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of determining the effect of connecting two or more cells of the same EMF in parallel in a circuit, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Circuit Configuration**: - We have a circuit with a single resistance \( R \) and a cell with EMF \( E \) and internal resistance \( r \). - When multiple cells of the same EMF \( E \) are connected in parallel, they share the load. 2. **Analyzing the Potential Difference**: - The potential difference across the resistance in the circuit is given by \( V = E - I \cdot r \), where \( I \) is the current flowing through the circuit. - When cells are connected in parallel, the potential difference across each cell remains the same, which is \( E \). 3. **Evaluating the Options**: - **Option 1**: Increase the potential difference across the resistance. - This is incorrect because the potential difference across the resistance remains \( E \) and does not increase. - **Option 2**: Decrease the potential difference across the resistance. - This is also incorrect; the potential difference does not decrease. - **Option 3**: Facilitate drawing more current from the battery system. - This is correct. When cells are connected in parallel, the equivalent internal resistance decreases, allowing more current to flow. - **Option 4**: Change the EMF across the system of batteries. - This is incorrect; the EMF remains the same as that of the individual cells. 4. **Calculating Equivalent Resistance**: - When \( n \) cells are connected in parallel, the equivalent internal resistance \( r_{eq} \) is given by: \[ r_{eq} = \frac{r}{n} \] - The total resistance in the circuit becomes \( R + r_{eq} \). 5. **Calculating the Current**: - The total current \( I \) flowing from the battery can be calculated using Ohm's law: \[ I = \frac{E}{R + r_{eq}} = \frac{E}{R + \frac{r}{n}} \] - As \( n \) increases, \( r_{eq} \) decreases, leading to an increase in current \( I \). ### Conclusion: The correct answer is **Option 3**: Facilitate drawing more current from the battery system.
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