For a sine wave with peak value Imax the r.m.s. value is

0.5 Imax
0.707
0.9
1.414 Imax

The correct answer is B. 0.707 Imax.

The root mean square (rms) value of a sine wave is the square root of the average of the squared values of the wave. In other words, it is the value of a constant DC current that would produce the same heating effect in a resistor as the sine wave.

The rms value of a sine wave can be calculated using the following formula:

$I_{rms} = \frac{I_{peak}}{\sqrt{2}}$

where $I_{peak}$ is the peak value of the sine wave.

Therefore, the rms value of a sine wave with peak value $I_{max}$ is $I_{rms} = \frac{I_{max}}{\sqrt{2}} = 0.707 I_{max}$.

Option A is incorrect because it is the average value of a sine wave, not the rms value.

Option C is incorrect because it is the peak value of a sine wave, not the rms value.

Option D is incorrect because it is twice the rms value of a sine wave.