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| Law of Combination of Resistance in Parallel |
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| Connect two resistors 'R1'
and 'R2' in parallel to one another between the points
A and B. Connect this combination to a battery of potential 'V'. |
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| Resistors Connected in Parallel Energized by a Battery |
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| Here the potential difference across R1 and R2 will be equal to that of the battery voltage. But the total current I flowing in the circuit branches as I1 through R1 and I2 through R2. |
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| Since there cannot be accumulation of charges at any point |
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| I = I1+ I2 ______(1) |
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| Using ohm's law, |
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| Applying the set of equations (2) in (1) |
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| If the resistors are connected in
parallel, the reciprocal of the equivalent resistance is equal to the sum of
the reciprocals of all the individual resistances. This result can be
generalized for any ‘n’ number of resistors. |
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| From the above derivations we find that if we want to increase the resistance we should connect them in series and if we want to decrease the resistance then the individual resistors are to be connected in parallel. |
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