Solved Numerical Problem No. 16.4 ( Unit-16: Alternating Current); HSSC-II (Class-12); Physics (Punjab Curriculum and Text Board, Lahore) With Verified Answers

A circuit has an inductance of 1/π H and resistance of 2000 Ω. A 50 Hz A.C. is supplied to it. Calculate the reactance and impedance offered by the circuit. (Ans : `\X_L` = 100 Ω, Z = 2002.5 Ω ) 

Data Given:

Resistance of the Inductance = R =  2000 Ω

Inductance = L = `\frac {1}{ㄫ}` H

Frequency of A.C. supply = f = 50 Hz

To Find:

(i). Inductive Reactance = `\X_L` = ?

(ii). Impedance = Z = ?

Solution:

(i). Inductive Reactance = `\X_L` = ?

Since the Inductive reactance `\X_L` is given by:

`\X_L` = ധL = 2ㄫfL

by putting values

`\X_L`  = ယ L = 2ㄫf L

by putting values

`\X_L`  = 2 ｘ ㄫ ｘ 50 Hz ｘ `\frac {1}{ㄫ}` H 

or

`\X_L`  = 2 ｘ 50 Hz ｘ 1 H 

`\X_L`  = 100 Ω  ---------------Ans. 1

2. Impedance = Z = ?

Z = `\sqrt {R^2 + X_L^2}`

Z = `\sqrt {(2000 Ω)^2 + (100 Ω)^2}`

Z = `\sqrt {4000000 Ω^2 + 10000 Ω^2}`

Z = `\sqrt {4010000 Ω^2}`

Z = 2002.498 Ω

Z = 2002.5 Ω -----------------Ans. (2)

************************************

Shortcut Links For 

1. National MDCAT, ECAT, JOB EXAM Physics MCQs Preparation (New) 
2. Physics (New) 11th Class SLO Based Notes
3. Physics (New) 11th class MCQs Quizzes All Units
4. Physics (New) 12th Class SLO Based Notes
5. Physics (New) 12th class MCQs Quizzes All Units

1. Website for School and College Level Physics   

(https://askrarequiz.blogspot.com)

2. Website for School and College Level Mathematics  

(https://askraremaths.blogspot.com)

3. Website for Single National Curriculum Pakistan - All Subjects Notes 

(https://askrareclassnotes.blogspot.com/)

© 2022-Onwards by Academic Skills and Knowledge (ASK)     

Note:  Write me in the comment box below for any query and also Share this information with your class-fellows and friends.