question_answer

A circuit consists of a resistor, an inductor and a capacitor connected in series. If the resistance of a resistor is 250. and the value of inductive reactance is equal to capacitive reactance, then the net impedance of the circuit will be

A)  50                         

B)  250

C)   1250                                    

D)  6250

Correct Answer: B

Solution :

                 The impedance of a series L-C-R circuit is given by                 \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\]                 where \[{{X}_{L}}\] is inductive reactance and \[{{X}_{C}}\] the capacitive reactance. Given,   \[{{X}_{L}}={{X}_{C}}\] \[\therefore \]  \[Z=R=25\,\Omega \]