A sine wave is offset 1/9 cycle with respect to time 0. What is its phase in degrees and radians? Which simple signal has a wider bandwidth, a sine wave with a frequency of 200 Hz or a sine wave with a frequency of 500 Hz?

A.) Phase in degree = 40°; phase in radian

B.) Bandwidth is the same.

Explanation:

1 complete cycle = 360°

Therefore, 1/9 of a cycle:

Phase in degree;

(1/9) * 360° = 40°

Phase in radian:

40 * (2π/360)

80π/360

= 0.222πrad

0.698rad

In simple terms, A bandwidth could be explained as the difference between the upper and lower frequencies of the signal. However, the signal described above is a simple signal with no upper or lower frequency boundary.

hence, the bandwidth is assumed to be the same.