Consider a circuit with alternating current that contains two voltage sources in series. Suppose these two voltages are given by:
v1(t) = 40 sin (250 t + 30°) and
v2(t) = 60 sin (250 t + 60°)
(Where t represents time in seconds)
a. The phasors for these two voltage sources are written as 40?30° and 60?60°, respectively. Convert these phasors to complex numbers in rectangular form (Use j as the imaginary unit).
b. Add these two complex numbers to find the total voltage in the circuit.
c. Write a sinusoidal function that gives the total voltage in the circuit.
v1(t) = 40 sin (250 t + 30°) and
v2(t) = 60 sin (250 t + 60°)
(Where t represents time in seconds)
a. The phasors for these two voltage sources are written as 40?30° and 60?60°, respectively. Convert these phasors to complex numbers in rectangular form (Use j as the imaginary unit).
b. Add these two complex numbers to find the total voltage in the circuit.
c. Write a sinusoidal function that gives the total voltage in the circuit.