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We know that, I = V / R, but in inductive circuit, I = V/XLSo Current in inversely proportional to the Current ( in inductive circuit.Let's check with an example.. Suppose, when Inductance (L) =0.02H
V=220, R=10 Ω, L=0.02 H, f=50Hz.XL =2πfL =2 x3.1415 x50 x0.02 =6.28 Ω
Z = √ (R2+XL2) = √ (102 +6.282) =11.8 Ω I = V/Z =220/11.8 = 18.64 A
V=Ldi/dt
where,
V=voltage across inductor
L=inductance
i=current across inductor
From the above relation ,it is understood that on integrating this equation, we obtain that current i is inversely proportional to the inductance L. Thus, when inductance increases, current increases.
Now, inductive reactance XL and inductance L are related by the equation:
XL=2πfL
which means that the two are directly related , so current also increases if XL increases.
