In an LCR series circuit, source of emf is :
$E=30 \sin (100t)$ and $R= 120, L=100 mH, C= 100 μF$

(A) The numerical value of impedance
(B) The numerical value of Resistance R
(C) The numerical value of capacitive reactance
(D) The numerical value of inductive reactance

Arrange the values of quantities mentioned in (A, B, C, D) in increasing order.

(D), (C), (B), (A)

The correct answer is Option (4) → (D), (C), (B), (A)

The impedance (Z) is,

$Z=\sqrt{R^2+(X_L-X_C)^2}$

$=\sqrt{120^2+(100×0.1-\frac{1}{100×100×10^{-6}})^2}$

$=\sqrt{120^2+90^2}=\sqrt{22500}$

$=150Ω$

and,

$X_L=ωL=100×0.1=10Ω$

$X_C=\frac{1}{ωC}=\frac{1}{100×100×10^{-6}}=100Ω$

$∴X_L<X_C<R<Z$