A sinusoidal current is given as i(t) = 150 cos (1000πt – 45&...
i(t) = 150 cos (1000 πt – 45°) mA
i(t) can attain max at
1000πt - π/4 = 0
View all questions of this testA sinusoidal current is given as i(t) = 150 cos (1000πt – 45&...
T + 30°) mA.
The amplitude of the current is 150 mA, and the angular frequency is 1000 radians per second.
The phase angle of the current is 30 degrees, which means that the current is shifted by 30 degrees relative to a reference sinusoidal wave (usually taken to be a sine wave).
To convert the current to a sine wave form, we can use the identity cos (θ) = sin (θ + 90°), which gives us:
i(t) = 150 sin (1000t + 120°) mA
This form of the current waveform shows that the current is a sine wave with an amplitude of 150 mA, a frequency of 1000 Hz, and a phase shift of 120 degrees relative to a reference sine wave.