draw the three currents and their phasor diagram
KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
Sign Convention
Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.
Two equations for voltage and current below use these two equations as I1 and I2, then find the equation of I3=I1+I2 in time domain, draw the three currents and their phasor diagram at 0 degree only.
v(t)=30sin(wt+10o)
i(t)=10sin(wt+40o)
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