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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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Most Upvoted Answer
The voltage and current through a circuit element is v = 100 sin (314 ...
The phase difference between v and i is:
Since v leads i therefore, the circuit element is an inductor.
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The voltage and current through a circuit element is v = 100 sin (314 ...
The equation v = 100 sin (314 t + 45) represents the voltage across a circuit element.
In this equation, t represents time in seconds. The voltage is given by the sine function, which oscillates between -1 and 1. The amplitude of the voltage is 100, meaning it ranges from -100 to 100.
The term 314 t represents the angular frequency of the sine wave. The angular frequency is calculated by multiplying the frequency (in Hertz) by 2π. In this case, the frequency is 314/2π ≈ 50 Hz.
The term 45 represents the phase angle of the sine wave. The phase angle determines the starting point of the sine wave. In this case, the voltage starts at a maximum value 45 degrees (π/4 radians) ahead of time t = 0.
To find the current through the circuit element, we need to consider the relationship between voltage and current in the circuit. This relationship is given by Ohm's Law: V = I * R, where V is the voltage, I is the current, and R is the resistance.
If we know the resistance of the circuit element, we can use Ohm's Law to find the current. However, without knowing the resistance or more information about the circuit, we cannot determine the current based solely on the given equation for voltage.
In this equation, t represents time in seconds. The voltage is given by the sine function, which oscillates between -1 and 1. The amplitude of the voltage is 100, meaning it ranges from -100 to 100.
The term 314 t represents the angular frequency of the sine wave. The angular frequency is calculated by multiplying the frequency (in Hertz) by 2π. In this case, the frequency is 314/2π ≈ 50 Hz.
The term 45 represents the phase angle of the sine wave. The phase angle determines the starting point of the sine wave. In this case, the voltage starts at a maximum value 45 degrees (π/4 radians) ahead of time t = 0.
To find the current through the circuit element, we need to consider the relationship between voltage and current in the circuit. This relationship is given by Ohm's Law: V = I * R, where V is the voltage, I is the current, and R is the resistance.
If we know the resistance of the circuit element, we can use Ohm's Law to find the current. However, without knowing the resistance or more information about the circuit, we cannot determine the current based solely on the given equation for voltage.
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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:a)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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