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The voltage of an ac supply varies with time (t) as V = 120 sin100πtcos100 πt . The maximum voltage and frequency respectively are
  • a)
    120 volts, 100 Hz
  • b)
    volts, 100 Hz
  • c)
    60 volts, 200 Hz
  • d)
    60 volts, 100 Hz
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The voltage of an ac supply varies with time (t) as V = 120 sin100π...
Given V= 120 sin100πt cos100πt..it can be written as 60 ×2 sin100πt cos100πt..it is in the form of 2sinAcosA...which is sin2A...therefore the equation can be written as V=60 sin200πt...from this..the maximum voltage is 60volts and angular velocity is 200π..from which we get frequency as 100Hz..so option D
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Read the following text and answer the following questions on the basis of the same: Tuning a radio set: In essence the simplest tuned radio frequency receiver is a simple crystal set. Desired frequency is tuned by a tuned coil / capacitor combination, and then the signal is presented to a simple crystal or diode detector where the amplitude modulated signal, is demodulated. This is then passed straight to the headphones or speaker. In radio set there is an LC oscillator comprising of a variable capacitor (or sometimes a variable coupling coil), with a knob on the front panel to tune the receiver. Capacitor used in old radio sets is gang capacitor. It consists of two sets of parallel circular plates one of which can rotate manually by means of a knob. The rotation causes overlapping areas of plates to change, thus changing its capacitance. Air gap between plates acts as dielectric. The capacitor has to be tuned in tandem corresponding to the frequency of a station so that the LC combination of the radio set resonates at the frequency of the desired station.When capacitive reactance (XC) is equal to the inductive reactance (XL), then the resonance occurs and the resonant frequency is given by ω0 = 1/√LCcurrent amplitude becomes maximum at the resonant frequency. It is important to note that resonance phenomenon is exhibited by a circuit only if both L and C are present in the circuit. Only then do the voltages across L and C cancel each other (both being out of phas e) and the Current amplitude is Vm/R the total source voltage appearing across R. This means that we cannot have resonance in a RL or RC circuit.Resonance frequency is equal to

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The voltage of an ac supply varies with time (t) as V = 120 sin100πtcos100 πt . The maximum voltage and frequency respectively area)120 volts, 100 Hzb) volts, 100 Hzc)60 volts, 200 Hzd)60 volts, 100 HzCorrect answer is option 'D'. Can you explain this answer?
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The voltage of an ac supply varies with time (t) as V = 120 sin100πtcos100 πt . The maximum voltage and frequency respectively area)120 volts, 100 Hzb) volts, 100 Hzc)60 volts, 200 Hzd)60 volts, 100 HzCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The voltage of an ac supply varies with time (t) as V = 120 sin100πtcos100 πt . The maximum voltage and frequency respectively area)120 volts, 100 Hzb) volts, 100 Hzc)60 volts, 200 Hzd)60 volts, 100 HzCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The voltage of an ac supply varies with time (t) as V = 120 sin100πtcos100 πt . The maximum voltage and frequency respectively area)120 volts, 100 Hzb) volts, 100 Hzc)60 volts, 200 Hzd)60 volts, 100 HzCorrect answer is option 'D'. Can you explain this answer?.
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