The figure shows cross sections through three long conductors of the same length and material, with square cross sections of edge lengths as shown. Conductor B fits snugly within conductor A, and conductor C fits snugly within conductor B. Rank the resistance of A, B, and C?

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The figure shows cross sections through three long conductors of the same length and material, with square cross sections of edge lengths as shown. Conductor B fits snugly within conductor A, and conductor C fits snugly within conductor B. Rank the resistance of A, B, and C?

The image depicts three square objects labeled A, B, and C arranged linearly from left to right. The squares are framed with outer boxes of varying dimensions, each connected by dotted lines.

- **Square A:** The outer box has a side length of \( \sqrt{3}L \).
- **Square B:** The outer box has a side length of \( \sqrt{2}L \).
- **Square C:** The outer box has a side length of \( L \).

**Connections:**
- The distance between Square A and Square B is indicated by a dotted line measuring \( \sqrt{2}L \).
- The distance between Square B and Square C is indicated by a dotted line measuring \( L \).

This diagram can be used to illustrate concepts of geometry, particularly the relationships between different square roots and linear dimensions.
Transcribed Image Text:The image depicts three square objects labeled A, B, and C arranged linearly from left to right. The squares are framed with outer boxes of varying dimensions, each connected by dotted lines. - **Square A:** The outer box has a side length of \( \sqrt{3}L \). - **Square B:** The outer box has a side length of \( \sqrt{2}L \). - **Square C:** The outer box has a side length of \( L \). **Connections:** - The distance between Square A and Square B is indicated by a dotted line measuring \( \sqrt{2}L \). - The distance between Square B and Square C is indicated by a dotted line measuring \( L \). This diagram can be used to illustrate concepts of geometry, particularly the relationships between different square roots and linear dimensions.
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