A inductive coil connected to a 200V,50Hz supply takes a current 10A.If the power dissipated in the coil is 100W. Calculate the inductance power factor phase angle?

Question

Answer

Given:
Voltage (V) = 200V
Frequency (f) = 50Hz
Current (I) = 10A
Power (P) = 100W

Calculating Inductance (L):
The formula to calculate the inductance (L) is:
P = I^2 × R
where R = Resistance of the coil

Since the coil is inductive, the resistance (R) is replaced by the impedance (Z):
Z = √(R^2 + Xl^2)
where Xl = Inductive reactance

The formula for inductive reactance (Xl) is:
Xl = 2πfL

Substituting the above equations in the formula for impedance,
Z = √(R^2 + (2πfL)^2)

Since the coil is connected to an AC supply, the power factor (pf) is given by:
pf = cos(θ)
where θ = Phase angle between voltage and current

Calculating Power factor and Phase angle:
The formula to calculate the power factor (pf) and phase angle (θ) is:
pf = P/(V×I) × 100
θ = cos^-1(pf)

Substituting the given values, we get:
pf = 100/(200×10) × 100 = 0.5 or 50%
θ = cos^-1(0.5) = 60°

Therefore, the inductance of the coil is calculated using the formula:
Z = √(R^2 + (2πfL)^2)
100 = 10^2 × R
R = 10Ω
Z = √(10^2 + (2π×50×L)^2)
Z = √(100 + 157079.63L^2)
Z^2 = 100 + 157079.63L^2
10000 = 100 + 157079.63L^2
L^2 = (10000 - 100)/157079.63
L = 0.318H

Hence, the inductance of the coil is 0.318H, the power factor is 0.5 or 50%, and the phase angle is 60°.

Answer

Inductive coil connected to a 200v , 50hz takes 10a
100w

200 and 100 about to= 2 hz
50hz and 10a = 5 hz

2into 5 = 10 ans

Similar Computer Science Engineering (CSE) Doubts

A inductive coil connected to a 200v,50Hz supply takes a current of 10A.If the power dissipated in the coil is 100W.caluclate inductance power factor phase angle?

An inductive coil is connected to the supply of 230v,50hz.and takes the current of 5A .the coil dispeated 750w . calculate the power factor, resistance and inducatance of the coil?

Calculate the value of capacitance to use in a capacitor filtre connected to a full wave rectifier operating at a standard air craft power frequency of 400hertz . If the ripple factor is 10percent for a load of 500ohm?

6). Afour-pole, 500 V DC shunt motor has 700 wave-connected conductors on its armature. The full-load armature current is 60A and the flux per pole is 30 mWb. Calculate the full-load speed, if the rotor armature resistance is 0.2 0 and brush drop is 1 V/brush.?

Which of the following algorithm can be used toefficientlycalculate single source shortest paths in a Directed Acyclic Graph?

Top Courses for Computer Science Engineering (CSE)View all

GATE Computer Science Engineering(CSE) 2025 Mock Test Series

Question Bank for GATE Computer Science Engineering

General Aptitude for GATE

Computer Networks

Programming and Data Structures

Top Courses for Computer Science Engineering (CSE)

Top Courses for Computer Science Engineering (CSE)

Suggested Free Tests

Related Content

Mock Test Series

Subject-wise Courses

Subject-wise Courses

Other Engg Branches

Company