question_answer

Inductive resistance\[25\,\Omega \], and capacitive resistance\[75\,\Omega \]. are connected across 250 V mains in series. Find the rms potential difference across inductor and capacitor.

A)  125 V, 375 V      

B)  375 V, 125 V

C)  125 V, 125 V      

D)  375 V, 375 V

Correct Answer: A

Solution :

                 We can draw the diagram according to the information given in problem, as Net resistance of the circuit                 \[Z={{X}_{C}}-{{X}_{L}}=75-25=50\,\Omega \] So, current through the circuit                 \[i=\frac{V}{Z}=\frac{250}{50}=5A\] \[\therefore \]  \[{{V}_{i}}=i\,{{X}_{L}}=5\times 25=125V\] and        \[{{V}_{C}}=i\,{{X}_{C}}=5\times 75=375V\]