Which of the following gives the magnitude of the impedance of a series combination…

PHYSICS · Single correct · CBSE · Physics · Alternating Current · Alternating Current

Problem

Which of the following gives the magnitude of the impedance

Z

of a series combination of a resistor

R

, an inductor

L

and a capacitor

C

when driven by an alternating source of angular frequency

\omega

? (a)

Z = R + \omega L + \dfrac{1}{\omega C}

(b)

Z = \sqrt{R^{2} + \left(\omega L + \dfrac{1}{\omega C}\right)^{2}}

(c)

Z = \sqrt{R^{2} + \left(\omega L - \dfrac{1}{\omega C}\right)^{2}}

(d)

Z = \sqrt{(\omega L)^{2} + \left(\dfrac{1}{\omega C}\right)^{2}}