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Calculate phi A capacitor (with capacitance C) is placed in series in a circuit

ID: 1785254 • Letter: C

Question

Calculate phi

A capacitor (with capacitance C) is placed in series in a circuit with a power supply and a resistor. A sine wave voltage input is supplied and the voltage across the resistor (proportional to the current) and across both the capacitor and resistor (voltage) observed on an oscilloscope. The two waveforms are shown in the figure below. They are sine waves with the same period but offset from each other.

The period (T) is measured between the points A and C. The time difference (to) between the signals is measured between the points A and B.

A student repeats the experiment and obtains values of:

T = 132 µs

to= 10 µs

6 Calculate ph dthe resistor (proportional to the current) and across both the capacitor and resistor (voltage) observed on an oscilloscope. The two waveforms ar onThe period (T) is measured between the points A and C. The time difference (o) between the signals is measured between the points A and B A capacitor (with capacitance C) is placed in series in a circuit with a power supply and a resistor A sine wave voltage input is supplied and the figure below. They are sine waves with the same period but offset from each other A student repeats the experiment and obtains values of. T=132 s - 10 us Determine the phase difference between the signals Give your answer in degrees to one decimal place Do not specify the units. t C Answer age

Explanation / Answer

We are given time period (T) from which we can find the frequency of the wave by using the following formula

f = 1/T = 1 / 132e-6 = 7575.76 Hz

NOTE - This e-6 comes from conversion of microseconds to seconds.

We are also given time difference (to) as 10e-6 . We can convert this to milliseconds as milliseconds is generally used as a unit of time difference.

Therefore , 10 microseconds become 0.01 milliseconds.

Phase angle = f * to * 3600 = 7575.76 * 0.01 * 360 = 27. 3 degrees

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