Features of series and parallel combination of resistors

AI Thread Summary
In a series combination of resistors, the current flows through each resistor, resulting in a total voltage equal to the sum of individual voltages across each resistor, with voltage proportional to resistance. In contrast, a parallel combination maintains the same voltage across each resistor, while the total current is the sum of the currents through each branch, making current inversely proportional to resistance. The series configuration is useful for increasing total resistance, while the parallel configuration is effective for decreasing total resistance. Understanding these principles aids in circuit design and optimization. The discussion seeks further insights into practical applications of these resistor combinations.
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Homework Statement


Give the features and the utilities of the series and parallel combination of resistors.


The Attempt at a Solution


Series combination:-
(i)The current has a single path for its flow.Hence the same current passes through each resistor and so the potential difference across any resistor is directly proportional to its resistance.
(ii)The potential difference across the entire circuit is equal to the sum of potential differences across the individual resistor.i.e.,
V = V1+V2+V3+...
Parallel combination :-
(i)The potential difference across each resistor is the same(=Va-Vb=V,say) which is the equal to the potential difference across the terminals of the battery(or source)
(ii)The current in a resistor is inversely proportional to its resistance. The sum of currents in the separate branches of the parallel circuit drawn from the source.i.e., I=I1+I2+I3+...

These are the features I managed. However I would like to know the utilities of these two combinations.
 
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