Question

The crew will plug portable equipment into a UOP (Utility Outlet Port). Each UOP has two connections that can be used for 120-volt power. One portal is used to power a complex circuit of total resistance of 10 Ω. The complex circuit consists of 3 different resistors of which two are in parallel and the third is in series. One of the resistors that is in parallel has a resistance of 4 Ω. The product of the other two resistors is 28.25. Determine the possible resistances. Draw a model of the circuit.

Answer 1

We have that for the Question  the possible resistances are and the diagram displaying the model of the circuit is attached below

• R2=3,469ohms
• R3=8.142ohms

From the question we are told

• The crew will plug portable equipment into a UOP (Utility Outlet Port). Each UOP has two connections that can be used for 120-volt power.
• One portal is used to power a complex circuit of total resistance of 10 Ω.
• The complex circuit consists of 3 different resistors of which two are in parallel and the third is in series.
• One of the resistors that is in parallel has a resistance of 4 Ω.
• The product of the other two resistors is 28.25. Determine the possible resistances. D

Resistances

From the description we have

R_2R_3=28.25

Generally the equation for the Total R   is mathematically given as

$R_t=R_3+\frac{R1+R_2}{R_1+R_2}\\\\Therefore\\\\10=R_3+\frac{R1+R_2}{R_1+R_2}\\\\2R3-3R2=5.875$

Hence

From the two distinct equations

$R2=\frac{28.35}{R3}$

• R2=3,469ohms
• R3=8.142ohms

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