Complete question
Single phase ac voltage of 240 v is applied to a series circuit whose impedance is 10<60 find the resistance
Answer:
[tex]R=5 ohms[/tex]
Explanation:
From the question we are told that
Voltage[tex]V=240[/tex]
Impedance[tex]Z= 10<60[/tex]
General converting from polar to Cartesian form is given by
[tex]X=r*cos \theta[/tex]
[tex]Y = r * sin\theta[/tex]
Therefore
[tex]X=10 cos 60\texdegree[/tex]
[tex]X=5[/tex]
[tex]Y = 10 sin 60\textdegree[/tex]
[tex]Y = 8.660[/tex]
Therefore
[tex]Z=5+j8.660[/tex]
Generally the equation impedance is mathematically given as
[tex]Z=R+jX[/tex]
where
R is Resistance
X is Reactance
Therefore
[tex]R=5 ohms[/tex]
