alleryStart learning →The rms value of a sinusoidal current equals its peak value divided by what?
- √2
- 2
- π
- 2π
Show answer and solution
Correct answer: A. √2
Squaring and averaging i0 sin(ωt) over a cycle gives i0²/2, so the rms value is i0/√2.
MHT-CET AC Circuits — practice questions
Explore 58 free AC Circuits questions in MHT-CET Physics. Open each question or exercise to read its content, reference answers and available explanation.
Practise AC Circuits with Quill →AC Circuits questions and exercises with answers
Showing questions 1–30 of 58.
The rms value of a sinusoidal current equals its peak value divided by what?Read the answer and worked solution →Over a half cycle, the mean value of a sinusoidal AC is nearly what fraction of its peak?Read the answer and worked solution →What is the average value of a sinusoidal AC taken over one complete cycle?Read the answer and worked solution →Household mains of 220 V rms has a peak voltage of about what value?Read the answer and worked solution →Why can a moving coil meter not read alternating current?Read the answer and worked solution →Which effect of current is independent of its direction and is used to define rms value?Read the answer and worked solution →An alternating voltage is e = 6 sin(100πt) volts. What is its frequency?Read the answer and worked solution →For e = 6 sin(100πt) volts, what is the time period of the supply?Read the answer and worked solution →A sinusoidal current has a peak value of 10 A. What is its rms value?Read the answer and worked solution →An AC ammeter reads 5 A rms. What is the peak value of the current?Read the answer and worked solution →A rotating vector representing a sinusoidally varying quantity is called a what?Read the answer and worked solution →Phasors used in AC analysis rotate in which sense?Read the answer and worked solution →The projection of a phasor on the vertical axis gives which quantity?Read the answer and worked solution →In a purely resistive AC circuit, the phase difference between voltage and current is what?Read the answer and worked solution →In a purely inductive AC circuit, how does the current behave relative to the voltage?Read the answer and worked solution →Which expression gives the capacitive reactance of a capacitor C at angular frequency ω?Read the answer and worked solution →What is the SI unit of inductive and capacitive reactance?Read the answer and worked solution →What is the inductive reactance of an ideal inductor in a steady DC circuit?Read the answer and worked solution →If the frequency of the AC supply to an inductor is doubled, its reactance does what?Read the answer and worked solution →An inductor of 0.1 H is connected to a 50 Hz supply. What is its reactance, taking π as 3.14?Read the answer and worked solution →In a series LCR circuit R = 30 Ω, XL = 60 Ω and XC = 20 Ω. What is the impedance?Read the answer and worked solution →For the same circuit (R = 30 Ω, XL = 60 Ω, XC = 20 Ω), the phase angle is about what?Read the answer and worked solution →In a series LCR circuit with XL greater than XC, the circuit behaves how?Read the answer and worked solution →Which expression gives the impedance of a series LCR circuit?Read the answer and worked solution →What is the impedance of a series LCR circuit at resonance?Read the answer and worked solution →At which condition does series LCR resonance occur?Read the answer and worked solution →A series circuit has L = 0.1 H and C = 10 µF. What is its resonant angular frequency?Read the answer and worked solution →The resonant frequency of a series LC circuit is given by which expression?Read the answer and worked solution →What is the impedance of a series resonant circuit compared with its value at other frequencies?Read the answer and worked solution →At the resonant frequency, a parallel LC circuit shows what behaviour?Read the answer and worked solution →
Worked practice questions
Over a half cycle, the mean value of a sinusoidal AC is nearly what fraction of its peak?
- 0.637
- 0.500
- 0.318
- 0.707
Show answer and solution
Correct answer: A. 0.637
The average of sin θ over 0 to π is 2/π, which is about 0.637.
What is the average value of a sinusoidal AC taken over one complete cycle?
- Half the peak
- Equal to rms
- Exactly zero
- Same as peak
Show answer and solution
Correct answer: C. Exactly zero
The positive and negative half cycles are equal and opposite, so they cancel over a full cycle.
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