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The voltage wave v = Vmsin(ω t - 150) volts is applied across in AC circuit. If the current leads the voltage by 100 and the maximum value of currents is Im, then the equation of current is-
- a)i = Imsin(ω t50)amps
- b)i = Imsin(ω t - 250)amps
- c)i = Imsin(ω t250)amps
- d)i = Imsin(ω t - 50)amps
Correct answer is option 'D'. Can you explain this answer?
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The voltage wave v = Vmsin(ω t - 150) volts is applied across in AC c...
V = Vmsin(ω t - 150)volts
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If currents leads 100
I = Imsin(ω t - 15100)
= Imsin(ω t - 50)
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The voltage wave v = Vmsin(ω t - 150) volts is applied across in AC c...
Given:
Voltage wave v = Vmsin(ωt - 150) volts
Current leads the voltage by 100
Maximum value of current is Im
To find the equation of current, we need to determine the phase shift between the voltage and current waveforms.
Phase shift between voltage and current:
The given information states that the current leads the voltage by 100. This means that the current waveform is ahead of the voltage waveform by 100.
Equation of current:
The equation of current can be written as:
i = Im*sin(ωt - ϕ)
where Im is the maximum value of current and ϕ is the phase shift between the current and voltage waveforms.
Substituting the given values, we have:
i = Im*sin(ωt - 100)
To determine the correct option, let's compare the given options with the derived equation of current.
a) i = Imsin(ωt + 50) amps
b) i = Imsin(ωt - 250) amps
c) i = Imsin(ωt + 250) amps
d) i = Imsin(ωt - 50) amps
Comparing the options with the derived equation, we can see that option 'd' matches the equation of current:
i = Imsin(ωt - 50) amps
Therefore, the correct answer is option 'd'.
Voltage wave v = Vmsin(ωt - 150) volts
Current leads the voltage by 100
Maximum value of current is Im
To find the equation of current, we need to determine the phase shift between the voltage and current waveforms.
Phase shift between voltage and current:
The given information states that the current leads the voltage by 100. This means that the current waveform is ahead of the voltage waveform by 100.
Equation of current:
The equation of current can be written as:
i = Im*sin(ωt - ϕ)
where Im is the maximum value of current and ϕ is the phase shift between the current and voltage waveforms.
Substituting the given values, we have:
i = Im*sin(ωt - 100)
To determine the correct option, let's compare the given options with the derived equation of current.
a) i = Imsin(ωt + 50) amps
b) i = Imsin(ωt - 250) amps
c) i = Imsin(ωt + 250) amps
d) i = Imsin(ωt - 50) amps
Comparing the options with the derived equation, we can see that option 'd' matches the equation of current:
i = Imsin(ωt - 50) amps
Therefore, the correct answer is option 'd'.
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The voltage wave v = Vmsin(ω t - 150) volts is applied across in AC circuit. If the current leads the voltage by 100 and the maximum value of currents is Im, then the equation of current is-a)i = Imsin(ω t50)ampsb)i = Imsin(ω t - 250)ampsc)i = Imsin(ω t250)ampsd)i = Imsin(ω t - 50)ampsCorrect answer is option 'D'. Can you explain this answer?
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The voltage wave v = Vmsin(ω t - 150) volts is applied across in AC circuit. If the current leads the voltage by 100 and the maximum value of currents is Im, then the equation of current is-a)i = Imsin(ω t50)ampsb)i = Imsin(ω t - 250)ampsc)i = Imsin(ω t250)ampsd)i = Imsin(ω t - 50)ampsCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The voltage wave v = Vmsin(ω t - 150) volts is applied across in AC circuit. If the current leads the voltage by 100 and the maximum value of currents is Im, then the equation of current is-a)i = Imsin(ω t50)ampsb)i = Imsin(ω t - 250)ampsc)i = Imsin(ω t250)ampsd)i = Imsin(ω t - 50)ampsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The voltage wave v = Vmsin(ω t - 150) volts is applied across in AC circuit. If the current leads the voltage by 100 and the maximum value of currents is Im, then the equation of current is-a)i = Imsin(ω t50)ampsb)i = Imsin(ω t - 250)ampsc)i = Imsin(ω t250)ampsd)i = Imsin(ω t - 50)ampsCorrect answer is option 'D'. Can you explain this answer?.
The voltage wave v = Vmsin(ω t - 150) volts is applied across in AC circuit. If the current leads the voltage by 100 and the maximum value of currents is Im, then the equation of current is-a)i = Imsin(ω t50)ampsb)i = Imsin(ω t - 250)ampsc)i = Imsin(ω t250)ampsd)i = Imsin(ω t - 50)ampsCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The voltage wave v = Vmsin(ω t - 150) volts is applied across in AC circuit. If the current leads the voltage by 100 and the maximum value of currents is Im, then the equation of current is-a)i = Imsin(ω t50)ampsb)i = Imsin(ω t - 250)ampsc)i = Imsin(ω t250)ampsd)i = Imsin(ω t - 50)ampsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The voltage wave v = Vmsin(ω t - 150) volts is applied across in AC circuit. If the current leads the voltage by 100 and the maximum value of currents is Im, then the equation of current is-a)i = Imsin(ω t50)ampsb)i = Imsin(ω t - 250)ampsc)i = Imsin(ω t250)ampsd)i = Imsin(ω t - 50)ampsCorrect answer is option 'D'. Can you explain this answer?.
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