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  LovelyLamp4954 answered this

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  power absorbed by R2 = V_R2/R2²

  power absorbed by R1 = V_s-V_R2 /R₁²

  Power delivered by the source equals the voltage of the source multiplied by the current through the source.

  so

  power of source = V_s *(V_s/(R1+R2)) = V_s²/(R1+R2) ;

  equating

  
  

  V_s²/(R1+R2) =  V_R2/R2² - (V_s-V_R2 /R₁² )

  solving , we get

  V_R2 = V_s * R2/(R1+R2)

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Problem

The dependent source in the circuit of Fig. 2.35 provides a voltage whose value depends on the current ix. What value of ix is required for the dependent source to be supplying 1 W?

FIGURE 2.35

Step-by-step solution

1. Step 1 of 2

   The following is the given circuit diagram:

   

   Figure 1

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2. Step 2 of 2

   We have to find the value of  which is required for the dependent source to supply 1 W of the power to the circuit.

   Power supplied by the dependent source is ,

   

   We have the power . Therefore,

   

   Hence, the current,  required for the dependent source to supply 1 W of power is .

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