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In figure 1, the maximum value of wave Vₐ=4 V, Vₙ=6 V, and I₁=4 mA. Determine the following:

a. For Vₐ signal, find the average value.

User SS Hegde
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Final answer:

The average value of a full-cycle sinusoidal voltage signal with a peak value of 4 V is zero, but the average of the rectified signal's magnitude is about 1.27 V.

Step-by-step explanation:

To find the average value of a sinusoidal wave like a voltage signal Va, which has a maximum (peak) value of 4 V, we use the mathematical definition of the average value for one full cycle of a sine wave. The average value of a full-cycle sinusoidal signal is zero since the positive half-cycle cancels out the negative half-cycle. However, in practice, when the average value of the magnitude is needed (such as in rectified signals), the average of a sinusoidal wave's absolute value over a cycle is Vpeak / π, so for a 4 V peak, the average value would be 4 V / π ≈ 1.27 V.

User Masashi M
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