CBSE Class 12-science Answered
There is a inductor connected with voltage 10V. AC volt 50Hz such that the current flowing in the inductor is 0.1A. The phase angle between current and voltage is 60°. Find impedance, resistance, and inductance of conductor.
Asked by sharmujjwal00 | 17 Oct, 2019, 06:59: AM
Expert Answer
current passing through inductor, im = V / (R2 + L2ω2 )1/2 .............. (1)
where V is applied voltage, R is resistance of inductor, L is inductance and ω = 2πf , where f is frequency of AC voltage.
If the current is 0.1 A and applied voltage is 10 V, then we have, 0.1 = 10/ (R2 + L2ω2 )1/2 ..............(2)
Impedence = (R2 + L2ω2 )1/2 = 100 Ω
From eqn.(2), we get, (R2 + L2ω2 ) = 10000 ..............(3)
Phase angle φ is given by, tan φ = Lω/R ............(4)
if phase angle is 60°, then we have tan 60° = ( Lω / R ) = √3 , i.e, Lω = √3 R ...............(4)
using eqn.(4), we rewrite eqn.(3) as , R2 + 3 R2 = 4 R2 = 10000 i.e. R = 50 Ω
Inductance is obtained from eqn. (4) as , L = √3 R / ω = ( √3 × 50 ) /(2π×50) = 0.276 H
Answered by Thiyagarajan K | 17 Oct, 2019, 11:02: PM
Concept Videos
-
Electric Charge - Part 1
This video describes the concept of charge, conductors and insulators, and ... -
Gold Leaf Electroscope - Part 1
This video explains the basic properties of electric charges. -
Coulom's Law of Electric Force - Part 1 ...
This video describes Coulomb's law to calculate the force between any two p... -
All about electric fields
Define electric field in terms of Coulomb's force. Apply superposition prin... -
Electric Field Lines
This video explains the representation of electric field due to a single ch...
CBSE 12-science - Physics
Asked by santhoshsindoora | 27 Sep, 2023, 08:26: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by sankaraganapathy007 | 09 Sep, 2023, 10:03: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by sagarmishra | 08 Sep, 2023, 01:55: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by dr.strange45678 | 02 Aug, 2023, 12:31: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by shanasaxena791 | 22 Jun, 2023, 08:26: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by sahilsah9211 | 21 Jun, 2023, 01:58: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by azadtanbir682 | 14 Jun, 2023, 11:28: PM
ANSWERED BY EXPERT
CBSE 12-science - Physics
Asked by komalbrar0987 | 17 May, 2023, 06:15: PM
ANSWERED BY EXPERT
