Circuit Analysis and Network Theorems 2, Slides of Electronic Circuits Analysis

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THE SUPERPOSITION THEOREM

Example 1 :

Example 2 :

In the circuit shown, use superposition theorem to find the

current 𝐼𝑜.

From Figure (a),

From Figure (b),

Example 1 :

How to find frequency at which 𝑋𝐿 is equal to 𝑋𝐶? Given: L = 1mH C = 0.01uF 𝑋𝐿 = 𝑋𝐶 2 𝜋𝑓𝐿 =

− 3 ) =

− 6 ) 2 𝜋𝑓(1𝑥 10 − 3 ) =

− 6 )

2

2 (1𝑥 10 − 3 )( 0 .01𝑥 10 − 6 ) 𝑓 = 50. 32 𝑘𝐻𝑧

Example 2 : An amplifier with a coupling capacitor and a speaker is shown below in figure (a), and its equivalent circuit is shown in figure (b). Determine the frequency at which maximum power is transferred from the amplifier to the speaker(consider that 𝑅𝑠 and C are part of the source and 𝑅𝑤 and L are part of the load). Also, calculate the power to the speaker at this frequency if 𝑉𝑆 =

1. 8 𝑣𝑜𝑙𝑡𝑠 𝑅𝑀𝑆.