If the potential differences across three resistances connected in parallel are V1,V2&V3 the potential difference across the total resistance V =
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Answer:
1/V1+1/V2+1/V3
Explanation:
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Concept:
- Electric circuits
- A parallel arrangement of resistances
- The resistors in a parallel circuit are set up with their heads connected to one another and their tails to another.
- The parallel arrangement of resistors is connected with the same potential difference.
Given:
- The potential difference across resistor 1 = V1
- The potential difference across resistor 2 = V2
- The potential difference across resistor 3 = V3
- All resistors are connected in parallel
Find:
- The potential difference across the total resistance
Solution:
For resistors arranged in parallel, we know that the potential difference across each resistor is the same.
V1 = V2 = V3
The potential difference across the total resistance is also equal to V1, V2 and V3
V = V1 = V2 = V3
The potential difference across the total resistance is V1 = V2 = V3
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