Question
How will you conclude that the same potential difference (voltage) exists across three resistors connected in a parallel arrangement to a battery?

Answer


Perform an activity to investigate the relation between potential difference across parallel combination of resistors and the potential difference across each individual resistors,
  1. Connect three resistors of resistances $R _1, R _2$ and $R _3$ in parallel. One end of each resistor is joined at a common point ‘a’ and the other end of each resistor is connected at another common point ‘b’.
  2. Connect the parallel combination of resistors with a battery, a plug key K and an ammeter A as shown in figure.
  1. Now connect a voltmeter across the parallel combination of resistors between a and b points.
  2. Note the reading of voltmeter. Let it be V. This is the potential difference across the parallel combination of resistors.
  3. Now, disconnect the voltmeter and connect it across $R_1$ as shown in figure.
  1. Note the reading of voltmeter. It is found to be V.
  2. Disconnect the voltmeter and connect it across $R _2$. Note the reading of voltmeter. It is found to be V .
  3. Again disconnect the voltmeter and connect it across $R _3$. Note the reading of voltmeter. It is found to be V .
Conclusion: When resistors are connected in parallel to each other, potential difference across each resistor is equal to the potential difference across the parallel combination of resistors.

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