Two wires A and B are formed from the same material with same mass. Diameter of wire A is half of diameter of wire B. If the resistance of wire A is `32 Omega`, find the resistance of wire B.
Text Solution
AI Generated Solution
To solve the problem, we need to find the resistance of wire B given that wire A has a resistance of 32 Ω, and the two wires are made of the same material and have the same mass, with wire A having a diameter that is half of that of wire B.
### Step-by-Step Solution:
1. **Understanding the Relationship Between Mass and Volume**:
Since both wires A and B are made of the same material and have the same mass, their volumes must also be equal.
\[
V_A = V_B
...
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