Question

Consider the following statements:

(a) Tellegen’s theorem is applicable to any lumped networks

(b) The reciprocity theorem is applicable to linear bilateral networks

(c) Thevenin’s theorem is applicable to two - terminal linear active networks

(d) Norton’s theorem is applicable to two - terminal linear active networks

Which of the above statements are correct?

1. (a), (b) and (c) only
2. (a), (b) and (d) only
3. (a), (b), (c) and (d)
4. (b), (c) and (d) only

Answer 1

Correct Answer - Option 3 : (a), (b), (c) and (d)

Tellegen’s Theorem states that the summation of power delivered is zero for each branch of any lumped network at any instant of time.

• This theorem is independent of the network elements i.e. applicable for any lump system that has active, passive & time-variant elements. (linear & non-linear as well)
• This is mainly used in designing of fillers in signal processing.

Reciprocity Theorem states that “in a linear & bilateral network, the ratio between the response to excitation remains the same even after interchanging the position of response & excitation.”

• Applicable in linear & bilateral network.
• The network should have a single source only.
• Applicable for both DC & AC circuits.

Thevenin’s Theorem: states that” Any linear network can be replaced by just one single voltage in series with a single resistance connected across the load.”

Norton’s Theorem :

Norton's Theorem states that” Any linear network can be replaced by just one single current source in parallel to a single resistance connected across the load.

From above it is concluded that option – 3 is correct.