The rms value of current for a variable current
Asked by admin @ in Physics viewed by 387 People
An alternating current is given by i= i1coswt + i2sinwt. The rms value of current is given by?
Answered by admin @
The RMS value of the current can be given by Irms = √[(I₁² + I₂²)/2] Explanation :
Given,
I = I₁coswt + I₂sinwt
we know that sin of a function can be written in terms of cos
hence,
I = I₁coswt + I₂cos(wt - 90)
here the component I₂cos(wt - 90) is lagging the component I₁coswt by 90 degree,
So there vector sum can be written as,
I = √(I₁² + I₂² + 2I₁I₂cos90)
=> I = √(I₁² + I₂²)
=> Irms = √[(I₁² + I₂²)/2]
Hence the RMS value of the current can be given by Irms = √[(I₁² + I₂²)/2]
Similar Questions
Determine the rms value of a semicircular current wave
Asked by admin @ in Physics viewed by 372 persons
Determine the rms value of a semi-circular current wave which has a maximum value of a
Evaluate the expression for the given value of the variable
Asked by admin @ in Mathematics viewed by 362 persons
Evaluate the expression for the given value(s) of the variables s=7 k=4 x=6 8 - k+ x
Find the value of each variable in the parallelogram
Asked by admin @ in Math viewed by 401 persons
Find the value of each variable in the parallelogram.Give brief reasons..
plzz solve both A and e.
In riak key value datastore the variable w indicates
Asked by admin @ in Computer Science viewed by 743 persons
In Riak Key Value datastore, the variable 'W' indicates __________.
Mode is the value of the variable which has
Asked by admin @ in Math viewed by 328 persons
mode is the value of the variable which has a) maximum frequency(b) minimum frequency(write the correct answer)
Which of these values can a boolean variable contain
Asked by admin @ in Computer Science viewed by 278 persons
Which of these values can a boolean variable contain
Program to circulate the values of n variables in python
Asked by admin @ in Computer Science viewed by 4051 persons
Ii)Write a python program to circulate the values of n variables.
A value of the variable that makes the equation true
Asked by admin @ in Math viewed by 290 persons
The value of the variable which makes the equation true is called the solution to the equation. true or false
The probability distribution of y, a discrete random variable, is given in the table. what is the expected value of y?
Asked by maham237 @ in Mathematics viewed by 301 persons
The current value of a house is its
Asked by maham237 @ in Business viewed by 412 persons
1. The current value of a house is its ______________.
secured value
unsecured value
insurable value
market value
The current investment are valued on closing date at
Asked by admin @ in Accountancy viewed by 3060 persons
The current investment are valued on closing date at
The value of current through 2 ohm resistor is
Asked by admin @ in Physics viewed by 311 persons
Solution?? The value of current through 2 ohm resistor?
In arc welding operations the current value is decided by
Asked by admin @ in Math viewed by 281 persons
In arc welding the operational current value is decided by
In arc welding operation the current value is decided by
Asked by admin @ in Math viewed by 306 persons
In arc welding operation current value is decided by
Overcoming fixed mindset: a step-by-step guide to cultivating a growth mindset
Asked by wiki @ in Health viewed by 1234 persons
Most viewed questions in Physics
Jeevandeep health and physical education std 10 answers pdf
Asked by admin @ in Physics viewed by 11063 persons
Hc verma physics class 9 solutions of describing motion
Asked by admin @ in Physics viewed by 2662 persons
Base area and stability of some objects with different shapes
Asked by admin @ in Physics viewed by 1524 persons
Which of the following statements about safe lifting are correct
Asked by admin @ in Physics viewed by 1510 persons
A rocket of mass m is launched straight up with thrust f⃗ thrust.
Asked by maham237 @ in Physics viewed by 1310 persons
A hair dryer with a resistance of 9.6 ohms operates at 120 volts for 2.5 minutes. the total electrical energy used by the dryer during this time interval is
Asked by maham237 @ in Physics viewed by 1200 persons
Mind map for light reflection and refraction class 10
Asked by admin @ in Physics viewed by 1139 persons
The african cicada is the world's loudest insect, producing a sound intensity level of 107 db at a distance of 0.50 m. what is the intensity of its sound (in w/m2) as heard by someone standing 3.1 m away? express your answer in watts per meter squared.
Asked by maham237 @ in Physics viewed by 1093 persons
A 5.8 x 10 4 watt elevator motor can lift
Asked by maham237 @ in Physics viewed by 1077 persons