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1 Alternating Currents

Find the value of current through an inductance of $$0.7H$$ and negligible resistance when connected to an ac source of $$220V$$ and frequency $$50Hz$$. Take $$\pi=\cfrac{22}{7}$$.

1) 1 A
2) 4 A
3) 8 A
4) 2 A

Option 1 Solution:

Solution

For pure inductive circuit, Current lag by $$\dfrac { \pi }{ 2 } \\ $$

inductive reactance $${ X }_{ L }=\omega L=2\pi fL\\ { X }_{ L }=2\times \dfrac { 22 }{ 7 } \times 0.7\times 50\\ { X }_{ L }=220$$

$$ Current \ through \ inductor \ i=\dfrac { V }{ { X }_{ L } } =\dfrac { 220 }{ 220 } =1Amps$$

Option 2

Option 3

Option 4

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