In AC series circuit, the resistance, inductive reactance and capacitance reactance are 3 Ω, 10 Ω, 14 Ω respectively. The impedence of the circuit is:

Question

In AC series circuit, the resistance, inductive reactance and capacitance reactance are 3 Ω, 10 Ω, 14 Ω respectively. The impedence of the circuit is: (A) 5 Ω (B) 4 Ω (C) 7 Ω (D) 10 Ω

Tardigrade Admin · Accepted Answer

Here, Resistance, R =3 Ω Inductive reflectance, XL=10 Ω Capacitive reactance, Xc=14 Ω The impedence of the series LCR circuit is: Z=√R2+(XC-XL)2 =√(3)2+(14-10)2 Z=5 Ω

Q. In AC series circuit, the resistance, inductive reactance and capacitance reactance are $3Ω, 10Ω, 14Ω$ respectively. The impedence of the circuit is:

$5Ω$

$4Ω$

$7Ω$

$10Ω$

Here, Resistance, $R = 3Ω$
Inductive reflectance, $X_{L} = 10Ω$
Capacitive reactance, $X_{c} = 14Ω$
The impedence of the series LCR circuit is:
$Z = R^{2} + (X_{C} - X_{L})^{2}$
$= (3)^{2} + (14 - 10)^{2}$
$Z = 5Ω$

Q. In AC series circuit, the resistance, inductive reactance and capacitance reactance are 3Ω,10Ω,14Ω respectively. The impedence of the circuit is:

5Ω

4Ω

7Ω

10Ω