Question

A circuit has a resistance of $11\Omega,$ an inductive reactance of $25\Omega$ and a capacitative resistance of $18\Omega.$ It is connected to an ac source of 260V and 50Hz. The current through the circuit (in amperes) is

• A. 11
• B. 15
• C. 18
• D. 20

Answer 1

Answer: (D)

20

Answer 2

$Z = \sqrt{R^{2} + (X_{L} - X_{C})^{2}} = \sqrt{(11)^{2} + (25 - 18)^{2}} = 13\Omega$

Current $i = \frac{260}{13} = 20A$