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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

What is the relation between average current and rms current over half cycle?

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प्रश्न

What is the relation between average current and rms current over half cycle? 

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उत्तर

Relation between average current and rms current over half cycle, iav = `(2sqrt2)/pi` irms 

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पाठ 13: AC Circuits - Very Short Answer

संबंधित प्रश्‍न

A capacitor of 100 μF, a coil of resistance 50Ω, and an inductance 0.5 H are connected in series with a 110 V-50Hz source. Calculate the rms value of current in the circuit.


Find the capacity of a capacitor which when put in series with a 10Ω resistor makes the power factor equal to 0.5. Assume an 80V-100Hz AC supply.


Find the time required for a 50 Hz alternating current to change its value from zero to the rms value.


If the effective current in a 50 cycle AC circuit is 5 A, what is the peak value of current? What is the current 1/600 after if was zero?


State the average or mean value of an alternating emf? Obtain the expression for it.


State the rms value of an alternating current? Write the relation between the rms value and peak value of an alternating current that varies with time. 


Alternating current cannot be measured by D.C. ammeter because ____________.


An alternating voltage e = `200sqrt2` sin(100 t) volt is connected to a 1 µF capacitor through a.c. ammeter. The reading of the ammeter is ______


The rms value of current in a 50 Hz AC circuit is 6 A. The average value of AC current over a cycle is ____________.


An alternating voltage is given by E = 100 sin`(omega + pi/6)"V"`. The voltage will be maximum for the first time when is ______. [T = periodic time]


In half-wave rectifier, the RMS value of A.C. component of the wave is ____________.


Instrument which measures alternating current is based on ____________.


A 60 `Omega` electric heater is connected to a 200 V, 50 Hz mains supply. The peak value of electric current flowing in the circuit is approximately ______.


What is the r.m.s. value of an alternating current which when passed through a resistor produces heat which is four times of that produced by a direct current of 3 ampere in the same resistor?


A player stops a football weighting 0.5 kg which comes flying towards him with a velocity of 10m/s. If the impact lasts for 1/50th sec. and the ball bounces back with a velocity of 15 m/s, then the average force involved is ______.


An alternating voltage is given by e = 8sin628.4t. Find

  1. peak value of e.m.f.
  2. frequency or e.m.f.
  3. instantaneous value of e.m.f. at time t = 10. ms

An LCR circuit contains resistance of 110 Q and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by 45°. If on the other hand, only inductor is removed the current leads by 45° with the applied voltage. The rms current flowing in the circuit will be ______.


The instantaneous value of current in an a.c. circuit is I = `2 sin [100 pi t + pi/3]` A. The curent wil be maximum for the first time at ______.

(sin 90° = 1)


An alternating e.m.f. is given by e = e0 sin ωt. In what time the e.m.f. will have value `e_0/sqrt 2`, if ‘e’ starts from zero?

`(sin 45^circ = 1/sqrt 2)`


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