Reciprocity Theorem: This theorem is applicable to only linear, passive and bilateral networks, that is, the network with R, L, C, so the network with RLC is called reciprocal network
Reciprocity Theorem
Defenition
In a linear, passive and bilateral networks, the ratio of response to the excitation is always constant; even if
the sources are interchanged from input to the output terminals .
Receiprocity condition with sources interchanged for input to output terminals.
Note:
- This theorem is applicable to only linear, passive and bilateral networks, that is, the network with R, L, C
so the network with RLC is called reciprocal network. - The presence of the controlled sources in the network makes it linear, active and bilateral. Hence, reciprocity theorem is not applicable. So, these networks are called non-reciprocal networks.
Problem: Question 1
Q : The network shown in the following figure is a linear passive and bilateral network. Use the data given in Fig. (a) and apply the principle of reciprocity and superposition to determine current ix
in Fig. (b).
Solution
Solution: By applying the homogeneity property to Fig. (a), we get circuit given in Fig. (c).
On applying reciprocity property to Fig. (c), we get circuit in Fig. (d).
Fig. (b) = Fig. (c) + Fig. (d)
ix1= i x1 + ix2
= 8−4 = 4 A
Question 2:
Determine the value of ix in the given circuits.
Solution
Solution: By applying homogenity property to Fig. (c) in Problem 2, we get Fig. (e).
Figure (b) = Figure (f) + Figure (d) = ix
= −24 − 4
= −28 A
Electrical Circuit Theorems
Join EEE Made Easy Whatsapp Channel
Join EEE Made Easy Telegram channel
Books for All Competitive Exams
Download EEE Made Easy Ebook PDF Free
Latest Posts in EEE Made Easy
- 25 MCQs on 8051 Microcontroller- Set 225 MCQs on 8051 Microcontroller: In this post you can practice questions on 8051 Microcontroller. You can … Read more
- 25 MCQs on 8051 Microcontroller25 MCQs on 8051 Microcontroller: In this post you can practice questions on 8051 Microcontroller. You can … Read more
- Transformer MCQs – Set 3Transformer MCQs – Set 3: Here is another Transformer MCQs – Set 3. Set 1 & 2 … Read more
- 25 Transformer MCQs – Set 2Transformer MCQs – Set 2: Here is a new set of 25 questions, this set includes transformer … Read more
- 25 MCQs on Transformers25 MCQs on Transformers: set of 25 Transformer MCQs covering fundamentals, construction, EMF equation, losses, efficiency, voltage … Read more
- Basics of Transformer Ratings and KVA ratingBasics of Transformer Ratings and KVA rating: KVA Rating and Impedance Rating are two common transformer ratings. … Read more
- Satellite Altitude and Orbit Control( AOCS)
Satellite Altitude and Orbit Control: In this post, Altitude Control & Orbit Control of Satellite is explained. … Read more
