For a series ac R-L-C circuit, (a) why do the voltage amplitudes not obey the equation V = VR + VL + VC; and (b) would the instantaneous voltages obey the equation U = UR+ UL + UC? Why or why not?
(a)
The reason for which the voltage amplitude in a series
Answer to Problem 1CQ
The voltage amplitude in a series
Explanation of Solution
A series
Since there exist phase difference between the voltages across the components resistor, inductor, and capacitor, the maximum value of the voltages across different components will present at different time. This makes the direct addition of the voltages across the components do not give the maximum voltage amplitude.
(b)
Whether the instantaneous voltages in the series
Answer to Problem 1CQ
The instantaneous voltages in the series
Explanation of Solution
According to the Kirchhoff’s loop rule, the algebraic sum of all voltages in a loop must be zero. In other words, the net voltage in a loop will be zero. Applying the Kirchhoff’s loop rule to a series
The Kirchhoff’s loop rule is agreed by the series
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