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Physics
Physics
Problem
Starting from the expression
Z
=
R
2
+
(
X
L
−
X
C
)
2
Z = \sqrt{R^{2}+(X_L-X_C)^{2}}
Z
=
R
2
+
(
X
L
−
X
C
)
2
, where
X
L
=
ω
L
X_L = \omega L
X
L
=
ω
L
and
X
C
=
1
/
(
ω
C
)
X_C = 1/(\omega C)
X
C
=
1/
(
ω
C
)
, show that the rms current in a series LCR circuit attains its maximum value when
X
L
=
X
C
X_L = X_C
X
L
=
X
C
.
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