Figure 31-25 shows the current and driving emf for a series RLC circuit. (a) Does the current lead or lag the emf? (b) Is the circuit’s load mainly capacitive or mainly inductive? (c) Is the angular frequency of the emf greater than or less than the natural angular frequency ?
Figure 31-25 showing current and driving emf for a series RLC circuit is given.
We can predict whether the current leads or lags the emf by observing the given figure. From this, we can find the type of circuit’s load and whether the angular frequency is less than the natural angular frequency. If the current is leading the emf voltage, it is considered to be capacitive and if lagging, it is considered to be inductive.
In the given figure, we can observe that the current peaks at an earlier time than the emf.
Therefore, current leads the emf.
Since current leads the emf, the circuit’s load is mainly capacitive.
Since current leads the emf and phase constant is negative, the angular frequency is less than the natural angular frequency.
In an oscillating LC circuit, and . At time the current is , the charge on the capacitor is , and the capacitor is charging. (a) What is the total energy in the circuit? (b) What is the maximum charge on the capacitor? (c) What is the maximum current? (d) If the charge on the capacitor is given by what is the phase angle ? (e) Suppose the data are the same, except that the capacitor is discharging at . What then is ?
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