1.

The current in an inductive circuit is given by 0.3 sin (200t – 40°) A. Write the equation for the voltage across it if the inductance is 40 mH.

Answer»

L = 40 x 10-3 H; i = 0.1 sin (200 t – 40°); XL = ωL = 200 x 40 x 10-3 = 8 Ω 

Vm = Im XL = 0.3 x 8 = 2.4 V 

In an inductive circuit, the voltage leads the current by 90° Therefore, 

\(v\)= Vm sin (ωt + 90°) 

\(v\) = 2.4 sin (200f – 40°+ 90°) 

\(v\)= 2.4 sin (200f +50°)volt



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