Answer
a. 2.97A.
b. 1.89A.
c. The rms value is larger.
Work Step by Step
a. $I=\sqrt{2} I_{rms}=\sqrt2(2.10A)=2.97A$.
b. $I_{rav}=\frac{2}{\pi}I\frac{2}{\pi}(2.97A)=1.89A$
c. Comparing Figures 31.3b, and step 2 in Figure 31.4 , we see that the root-mean-square current is always greater than the rectified average. This is verified here; $2.10A\gt1.89A$.
In other words, squaring the sinusoidal current, averaging, and then taking the square root to get the rms value gives a larger value than averaging the current’s absolute value.
