Solving the Parallel Circuit: R=25, X[c]=100, X[L]=25

[huma]

Homework Statement

what is the value combined impedance of the parallel circuit ?when R=25 ,X[c]=100 and X[L]=25

Homework Equations

I think we use this equation to solve parallel impedance ...

.

The Attempt at a Solution

z=1/√((squ(1/25))+(squ((1/25)-(1/100))))=1/√(1/625)+squ(3/100)=√10000/25=100/5=20
but the ans is given is 120 what I do ?

 

[baby_1]

Hi,
with your value(R=25,XL=25,XC=100) and your equation you found the right answer. Maybe you forget to convert L and C value to phasor form, it means ( XL=JwL not XL= L) or the book answer is wrong

 

[huma]

no its is given the value of Xc and XL ... no need to find Xc and XL
vetre

 

[cnh1995]

but the ans is given is 120

Perhaps it is a typo. The answer is j20, not 120.
The equivalent impedance of a bunch of parallel impedances is less than the least of them, which means the answer is less than 25.