4.88 The variable resistor R, in the circuit in Fig. P4.88 PSPICE is adjusted until the power dissipated in the resis- MULTISIM tor is 1.5 W. Find the values of R, that satisfy this condition. Figure P4.88 100 V 50 Ω 60 Ω -ix {200 Ω Σ 40 Ω 60ix Ro

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Circuits 1 HW 5 Q4
### Problem 4.88

The variable resistor \( R_o \) in the circuit shown in Figure P4.88 is adjusted until the power dissipated in the resistor is 1.5 W. Find the values of \( R_o \) that satisfy this condition.

**Figure P4.88**

**Circuit Description:**

- A 100 V DC voltage source is connected in the circuit.
- The circuit consists of several components in the following configuration:
  - A 50 \(\Omega\) resistor is in series with a 60 \(\Omega\) resistor.
  - Parallel to the 60 \(\Omega\) resistor, there is a branch with a 200 \(\Omega\) resistor.
  - In another branch parallel to the 60 \(\Omega\) and 200 \(\Omega\) resistors, there is a 40 \(\Omega\) resistor.
- A dependent voltage source, denoted as \(60i_x\), is connected in series with the 40 \(\Omega\) resistor, where \(i_x\) is the current through the 60 \(\Omega\) resistor.
- Finally, the variable resistor \( R_o \) is connected in series to complete the circuit loop.

### Analysis Task

Determine the values of the variable resistor \( R_o \) so that the power dissipated across \( R_o \) is equal to 1.5 watts.
Transcribed Image Text:### Problem 4.88 The variable resistor \( R_o \) in the circuit shown in Figure P4.88 is adjusted until the power dissipated in the resistor is 1.5 W. Find the values of \( R_o \) that satisfy this condition. **Figure P4.88** **Circuit Description:** - A 100 V DC voltage source is connected in the circuit. - The circuit consists of several components in the following configuration: - A 50 \(\Omega\) resistor is in series with a 60 \(\Omega\) resistor. - Parallel to the 60 \(\Omega\) resistor, there is a branch with a 200 \(\Omega\) resistor. - In another branch parallel to the 60 \(\Omega\) and 200 \(\Omega\) resistors, there is a 40 \(\Omega\) resistor. - A dependent voltage source, denoted as \(60i_x\), is connected in series with the 40 \(\Omega\) resistor, where \(i_x\) is the current through the 60 \(\Omega\) resistor. - Finally, the variable resistor \( R_o \) is connected in series to complete the circuit loop. ### Analysis Task Determine the values of the variable resistor \( R_o \) so that the power dissipated across \( R_o \) is equal to 1.5 watts.
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