In a series LCR circuit, the inductance, capacitance and resistance are $L = 100 mH$ , $C = 100 μ F$ and $R = 10 Ω$ 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 _____ $A$ .

Question

Aicharya · Accepted Answer

Angular frequency, &#969; = 2 &#960; f = 100 &#960; &#160; rad &#160; s - 1 Here, inductive reactance X L = &#969; L = 100 &#960; 100 &#215; 10 - 3 = 10 &#960; &#160; &#937; And capacitive reactance X C = 1 &#969; C = 1 100 &#960; &#215; 100 &#215; 10 - 6 = 100 &#960; &#160; &#937; = 10 &#960; &#160; &#937; Now, impedance of the series circuit is Z = R 2 + X L - X C 2 = R = 10 &#160; &#937; Therefore, I RMS = V RMS Z , = 220 10 = 22 &#160; A

In a series LCR circuit, the inductance, capacitance and resistance are L = 100   mH , C = 100  …

Solution

In a series LCR circuit, the inductance, capacitance and resistance are L = 100 &#160; mH , C = 100 &#160;…

Solution

In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH , C = 100 …