Question 111: AC fundamentals

Question

In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 $$\mu$$F and R = 10 $$\Omega$$ respectively. They are connected to an AC source of voltage 220 V and frequency of 50 Hz. The approximate value of current in the circuit will be ___________ A.

Accepted Answer

$$Z = \sqrt {{R^2} + {{({x_L} + {x_C})}^2}} $$
$$ = \sqrt {{{10}^2} + {{\left[ {10\pi  - {{100} \over \pi }} \right]}^2}} \,\Omega $$
$$ \simeq 10\,\Omega $$
$$\Rightarrow$$ Current $$ = {{220} \over {10}}$$ A = 22 A

AC fundamentals

In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 $\muF and R = 10 \Omega$ respectively. They are connected to an AC source of voltage 220 V and frequency of 50 Hz. The approximate value of current in the circuit will be ___________ A.

Choose the correct answer: