Sinusoidal current phase angle question

In summary, the two sinusoidal currents i1(t) and i2(t) have a frequency of 500 Hz and a phase difference of 60 degrees. The positive peak of i2(t) occurs 0.25ms earlier than i1(t). To determine the phase angle of i2(t), one can use the equation v1(t) = V1cos(wt + theta1) and calculate the fraction of a whole wave period represented by 0.25ms. This will help determine the missing phase angle.
  • #1
yy112
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Homework Statement



The sinusoidal current i1(t) has a phase angle of 60 degrees. Furthermore, i2(t) attains its positive peak 0.25ms earlier than the current in i2(t) (i.e i1(t) leads i2(t)). Both currents have a frequency of 500 Hz. Determine the phase angle of i2(t)


Homework Equations



I think we would use this equation: v1(t) = V1cos(wt + theta1)

The Attempt at a Solution



I just can't find a formula in t he book that adds both currents in order to obtain the missing phase angle. Much help is appreciated!
 
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  • #2
You won't need a 'canned' formula for this problem. The first thing to determine is what fraction of a whole wave period does 0.25ms represent? What's the period of the sinusoids?
 

What is a sinusoidal current phase angle?

A sinusoidal current phase angle is the measurement of the difference in timing between two sinusoidal waveforms. In the context of electricity, it refers to the timing difference between the voltage and current waveforms in an AC circuit.

How is the sinusoidal current phase angle measured?

The sinusoidal current phase angle is measured in degrees or radians using a phase angle meter or an oscilloscope. The phase angle is calculated by comparing the time difference between the zero-crossings of the two waveforms.

What is the significance of the sinusoidal current phase angle?

The sinusoidal current phase angle is significant because it determines the amount of power and energy transferred between the voltage and current waveforms in an AC circuit. A phase angle of 0 degrees indicates maximum power transfer, while a phase angle of 90 degrees indicates no power transfer.

How does the sinusoidal current phase angle affect the performance of electronic devices?

The sinusoidal current phase angle affects the performance of electronic devices by causing a delay in the voltage and current waveforms. This delay can cause issues such as reduced efficiency, overheating, and damage to the device.

Can the sinusoidal current phase angle be manipulated?

Yes, the sinusoidal current phase angle can be manipulated by using devices such as capacitors and inductors in an AC circuit. These devices can change the phase angle and improve the performance of the circuit.

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