show that Rs = R3R1/R2, in a balanced bridge : R3 * ( R1+ L1 ) = R2 (Ls+Rs), using the fact that quality factors wLs/Rs = wL1/R1

Question

show that Rs = R3R1/R2, in a balanced bridge : R3 * ( R1+ L1 ) = R2 (Ls+Rs), using the fact that quality factors wLs/Rs = wL1/R1

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Solution 1

Sure, let's solve this step by step:

Given the quality factors ωLs/Rs = ωL1/R1, we can rearrange this equation to Rs = ωLs/ωL1 * R1. This is equation [1].
We are also given that in a balanced bridge, R3 * (R1 + L1) = R2 * (Ls + Rs). We can rearrange this equation to Rs = R3 * R1/R2 - L1. Thi Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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