Two different resistors, if connected in series, give total resistance of 16 ohm and if connected in parallel, give total resistance of 3 ohm. Find each resistance.with sloution.
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Two different resistors, if connected in series, give total resistance of 16 ohm and if connected in parallel, give total resistance of 3 ohm. Find each resistance.with sloution.
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Verified answer
Answer
12 ohms and 4 ohms
Solution
Let the resistors be of resistance and
When in series, the equivalent resistance is simple added up. Hence,
For parallel connection, the sum of inverse of resistance is equal to the inverse of equivalent resistance. Hence,
We know that
Hence,
Now, by hit and trial we can say that the value of resistances is 12 and 4 ohm, but here is the longer method
Subtract from both sides
Taking square root on both sides,
We know that
Adding the two equations, we get
Therefore,
Answer:
Step-by-step explanation:
In a series, two resistors give total resistance of 16 ohm. If connected in parallel, it gives total resistance of 3 ohm.
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