Parallel ac Networks
For the representative parallel ac network of [Fig. 1],
the total impedance or admittance is determined as described in the previous section, and the source current is determined by Ohm's law as follows:
Since the voltage is the same across parallel elements, the current
through each branch can then be found through another application of
Ohm's law:
Kirchhoff's current law can then be applied in the same manner as
employed for dc networks.
or
The power to the network can be determined by
where $\theta_T$ is the phase angle between E and I.
Let us now look at a few examples carried out in great detail for the first exposure. RL Parallel ac Network Configuration RC Parallel ac Network Configuration RLC Parallel ac Network Configuration
Fig. 1: Parallel ac network.
$$I = {E \over Z_T} = E Y_T$$
$$I_1 = {E \over Z_1} = E Y_1$$
$$I_2 = {E \over Z_2} = E Y_2$$
$$I - I_1 - I_2 = 0$$
$$I = I_1 + I_2 $$
$$P = EI \cos \theta_T$$
Let us now look at a few examples carried out in great detail for the first exposure. RL Parallel ac Network Configuration RC Parallel ac Network Configuration RLC Parallel ac Network Configuration
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