Find the value of the current and inductive reactance when A.C. voltage of 220 V at 50 H z is passed through an inductor of 10 H. (Ans: `I_{rms}` = 0.07 A, `X_L` = 3140 Ω )
Data Given:
Voltage = V = 220 V
Frequency of A.C. supply = f = 50 Hz
Inductance = L = 10 H
To Find:
(i) Inductive Reactance = `\X_L` = ?
(ii) Root Mean Square (rms) current = `\I_{rms}` = ?
Solution:
(i) Inductive Reactance = `\X_L` = ?
The formula for inductive Reactance is given by:
`\X_L` = à´§L = 2ã„«fL
by putting values
`\X_L` = ယ L = 2ㄫf L
by putting values
`\X_L` = 2 x 3.1416 x 50 Hz x 10 H
`\X_L` = 3141.6 Ω ---------------Ans. 1
(ii) Root Mean Square (rms) current = `\I_{rms}` = ?
The current is given by:
`\I_{rms}` = `\frac {V}{X_L}`
`\I_{rms}` = `\frac {220 V}{3141.6 Ω}`
`\I_{rms}` = 0.07 A -----------------------Ans. (2)
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