In the circuit shown power factor of box is given by 0.5 and power factor of circuit is given by $\frac{3}{2}$ . Current leading the voltage. The effective resistance of the box is made by using 5 resistances of equal value. Find the value of each resistance (in $Ω$ ) (Assume all the combination are in series).

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diagram

TestHub · Accepted Answer

R 2 + ( X L ​ − X C ​ ) 2 ​ R ​ = 0.5 and ( R + 10 ) 2 + ( X L ​ − X C ​ ) 2 ​ R + 10 ​ = 2 3 ​ ​ . Solving gives the box resistance R = 5 Ω made of 5 equal series resistors, so each is 1 Ω .

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