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In parallel combination, total resistance
  • a)
    decreases
  • b)
    increases
  • c)
    may decrease or increase according to the situation
  • d)
    no particular observation
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In parallel combination, total resistancea)decreasesb)increasesc)may d...
Total Resistance in Parallel Combination

In a parallel combination of resistors, multiple resistors are connected across the same two points, forming separate branches. The current flowing through each resistor in a parallel combination is different, but the voltage across each resistor is the same. The total resistance in a parallel combination can be calculated using the formula:

1/R_total = 1/R1 + 1/R2 + 1/R3 + ...

Explanation:

When resistors are connected in parallel, the total resistance decreases compared to the individual resistances. This can be explained using the following points:

1. Current Division:
In a parallel combination, the total current flowing from the source is divided among the different branches. Each resistor allows a part of the current to flow through it. As a result, the total current flowing through the combination is the sum of the currents flowing through each individual resistor. This current division reduces the overall resistance of the combination.

2. Voltage Division:
In a parallel combination, the voltage across each resistor is the same. Since the voltage is constant across all the resistors, the electric potential difference across the combination is also constant. This implies that the equivalent resistance of the combination must be smaller than the individual resistances to maintain the same voltage across the combination.

3. Path of Least Resistance:
In a parallel combination, each resistor provides a separate path for the current to flow. The current prefers to flow through the path with the least resistance. As a result, the total resistance of the combination decreases because the presence of multiple paths reduces the overall resistance offered to the current flow.

Conclusion:

In conclusion, when resistors are connected in parallel, the total resistance decreases compared to the individual resistances. This is due to current division, voltage division, and the availability of multiple paths for the current to flow. Therefore, the correct answer is option 'A' - the total resistance decreases in a parallel combination.
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In parallel combination, total resistancea)decreasesb)increasesc)may decrease or increase according to the situationd)no particular observationCorrect answer is option 'A'. Can you explain this answer?
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