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The voltage and current through a circuit element is v= 100 sin (314 t + 45°) volts and i - 10 sin (314 t - 45 ° ) amps.
The type of circuit element and its value will be respectively
The type of circuit element and its value will be respectively
- a)an inductor with L = 31.8mH
- b)a capacitor with C = 10 F
- c)an inductor with L = 10 H
- d)a capacitor with C = 31.8 μF
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The voltage and current through a circuit element is v= 100 sin (314 t...
The phase difference between v and i is
Since v leads i therefore, the circuit element is an inductor.
Most Upvoted Answer
The voltage and current through a circuit element is v= 100 sin (314 t...
Degrees) volts and i= 5 sin (314 t - 30 degrees) amperes, respectively.
To find the power, we can use the formula P = VI cos(theta), where V and I are the voltage and current, respectively, and theta is the phase angle between them.
First, we need to find the phase angle between the voltage and current. We can do this by subtracting the phase angle of the current from that of the voltage:
theta = 45 degrees - (-30 degrees) = 75 degrees
Now, we can calculate the power:
P = (100 sin (314 t 45 degrees))(5 sin (314 t - 30 degrees)) cos(75 degrees)
P = 500 sin (314 t 45 degrees - 314 t + 30 degrees) cos(75 degrees)
P = 250 (sin 75 degrees - sin 105 degrees)
P = 250 (0.966 - (-0.966))
P = 485 watts
Therefore, the power through the circuit element is 485 watts.
To find the power, we can use the formula P = VI cos(theta), where V and I are the voltage and current, respectively, and theta is the phase angle between them.
First, we need to find the phase angle between the voltage and current. We can do this by subtracting the phase angle of the current from that of the voltage:
theta = 45 degrees - (-30 degrees) = 75 degrees
Now, we can calculate the power:
P = (100 sin (314 t 45 degrees))(5 sin (314 t - 30 degrees)) cos(75 degrees)
P = 500 sin (314 t 45 degrees - 314 t + 30 degrees) cos(75 degrees)
P = 250 (sin 75 degrees - sin 105 degrees)
P = 250 (0.966 - (-0.966))
P = 485 watts
Therefore, the power through the circuit element is 485 watts.
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The voltage and current through a circuit element is v= 100 sin (314 t + 45°) volts and i - 10 sin (314 t- 45 ° ) amps.The type of circuit element and its value will be respectivelya)an inductor with L= 31.8mHb)a capacitor with C = 10 Fc)an inductor with L = 10 Hd)a capacitor with C = 31.8 μFCorrect answer is option 'A'. Can you explain this answer?
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