Solved Numerical Problem No. 16.3 ( Unit-16: Alternating Current); HSSC-II (Class-12); Physics (Punjab Curriculum and Text Board, Lahore) With Verified Answers

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` = ധL = 2ㄫfL

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)

Similar Questions:

A coil having a resistance of 7 Ω and an inductance of 31.8 mH is connected to 230V, 50Hz supply. Calculate (a) the circuit current (b) phase angle (c) power factor. (d) power consumed. Ans (18.85, 55° lag, .573° lag, 2484.24 w) 

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