Final answer:
The phasor form in RMS of the given sinusoidal signal v(t) = 3sin(2t + 30°) (V) is 2.12∠30° (V), which corresponds to converting the peak amplitude to RMS and retaining the phase angle.
Step-by-step explanation:
To convert the given sinusoidal signal into its phasor form in RMS we'll use the information provided in the question: v(t) = 3sin(2t + 30°) (V). the peak voltage (V0) is 3 V, and in phasor form, we should convert this peak voltage into its RMS value by dividing by the square root of 2, and the phase remains the same.
The RMS value is thus 3 V / √2 ≈ 2.12 V, and the phase angle is 30°. therefore the correct phasor form in RMS for this signal is 2.12∠30° (V). this is option 2 in the choices provided.