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Calculate the Z21 parameter (in ohms up to two significant digit) of the below circuit if R=38 Ω.

Question

Calculate the Z21 parameter (in ohms up to two significant digits) of the below circuit if R=38 Ω.

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Solution

1. Break Down the Problem

To calculate the Z21 Z_{21} parameter of the circuit given a resistance R=38Ω R = 38 \, \Omega , we identify the relevant formula or method applicable for calculating Z21 Z_{21} .

2. Relevant Concepts

The Z Z parameters are defined in terms of voltages and currents in a two-port network. For the Z21 Z_{21} parameter, it is defined as: Z21=V2I1(with I2=0) Z_{21} = \frac{V_2}{I_1} \quad \text{(with \( I_2 = 0 \))} In many cases, and especially in simplest resistive circuits, the Z21 Z_{21} can also be simplified based on the given resistances and configurations.

3. Analysis and Detail

Since R R is the only component in this case, if we take into account the two-port representation and assume that I2=0 I_2 = 0 (no load on port 2), the Z21 Z_{21} can be directly considered as the resistance seen at port 1 divided by the input current:

For a resistive circuit: Z21=R=38Ω Z_{21} = R = 38 \, \Omega

4. Verify and Summarize

Since R=38Ω R = 38 \, \Omega , and assuming this is a simple resistive codition without reactive components, Z21 Z_{21} indeed will be equal to R R .

Final Answer

Z21=38Ω Z_{21} = 38 \, \Omega

This problem has been solved

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