Electroencephalography EEG elucidates brain function by anal

Electroencephalography (EEG) elucidates brain function by analyzing brain waves, AC voltages resulting from electrical activity in the brain. Alpha waves are brain waves with frequencies from 7.5 Hz to 12.5 Hz. A particular alpha wave has frequency 9.84 Hz and rms amplitude 31.8 mu V. Express this voltage in the form of V = V_p sin(omega t + phi v), where t is in seconds, assuming zero phase constant. Express your answer in terms of t. Express the coefficients using three significant figures.

Solution

Given Rms Amplitude of Voltage

V_rms =31.8 uV

Peak Value of Voltage

V_p=sqrt[2]*V_rms =sqrt[2]*31.8 =44.97 uV

V_p=45 uV (approx)

angular frequency

W=2pif =2pi*9.84 =61.8 rad/s

Phase constant phi =0

=>V=45Sin(61.8t) uV