If ‘n’ number of resistances, each of value ‘r’, are connected in parallel,…
2024
If ‘n’ number of resistances, each of value ‘r’, are connected in parallel, their equivalent resistance will be:
- A.
n/r
- B.
nr
- C.
r/n
- D.
n+r
- E.
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Correct answer: C
When ‘n’ resistors, each having resistance ‘r’, are connected in a Parallel Circuit, the formula for equivalent resistance is:
1/R = 1/r+1/r+1/r+1/r ...(n times)
Adding these terms:
1/R = n/r
Taking reciprocal on both sides:
R= r/n
So, the equivalent resistance becomes smaller than each individual resistance in parallel connection.
Therefore, the correct answer is ( r/n )