Question

The equations of the currents in two parallel connected electric devices are i=11.3sin(377+π/4) and i=8.5 sin (377+π/4). What is the rms value of the resultant current?

Answer 1

sosi\[xyi\]

Answer 2

for
i1=11.3sin(377+π/4)
and i2=8.5 sin (377+π/4)

we note that both currents have the same relative phase, meaning we can add the currents without needing to convert to phasor form.
11.3+8.5=19.8 Amps Pk.
To convert from Pk to RMS, for a sinusoid, simply divide by the square root of 2:
19.8/sqrt(2)=14.0 A rms.

Answer 3

@dexterlandingin