Concept explainers
Find the total impedance of the parallel networks of Fig. 1663 in rectangular and polar form.
Fig. 1663
(a)
Total impedance of the given network.
Answer to Problem 1P
Rectangular form:
Polar form:
Explanation of Solution
Given:
The given network is:
Calculation:
We can see from the given circuit that the resistor
(b)
Total impedance of the given network.
Answer to Problem 1P
Rectangular form:
Polar form:
Explanation of Solution
Given:
The given network is:
Calculation:
We can see from the given circuit that the resistor
(c)
Total impedance of the given network.
Answer to Problem 1P
Rectangular form:
Polar form:
Explanation of Solution
Given:
The given network is:
Calculation:
We can see from the given circuit that two inductors and one capacitor are connected in parallel.
Therefore, we need to calculate their equivalent reactance first:
Inductive reactance of
Inductive reactance of
Capacitive reactance of
Therefore, the total resistance of the network will be:
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