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“For a linear network containing generators and impedances, the ratio of the voltage to the current produced in other loop is the same as the ratio of voltage and current obtained if the positions of the voltage source and the ammeter measuring the current are interchanged.
”The above stated network theorem is known as:
Match List I (Theorem/Law) with List II (Property) and select the correct answer using the codes given below the lists:
List  I
A. Norton’s theorem
B. Superposition theorem
C. Thevenin’s theorem
D. Kirchhoff’s current law
List  II
1. Effects of independent sources in a linear circuit are additive.
2. Law of nonaccumulation of charge holds good at nodes.
3. Current source with shunt resistor.
4. Voltage source with series resistor.
Codes:
The vi characteristic of an element is shown in figure below. The element is
If the source impedance is inductive, for maximum transfer of power from the source to the load, the load should be
The equivalent resistance between terminal A and B for the given circuit is
Converting 3 Ω delta connected resistors into starequivalent, the circuit is reduced as shown below.
∴
Assertion (A): Norton’s theorem is called dual of the Thevenin’s theorem.
Reason (R): If the Thevenin’s equivalent voltage source is converted to an equivalent current source, the Norton’s equivalent is obtained.
Assertion (A): In any active network, maximum power transfer to the load takes place when the load impedance is equal to an equivalent impedance of the network as viewed from the terminals of the load.
Reason (R): For finding the maximum power transfer to the load, any network has to be first converted into Th even in’s equivalent across the terminals of the load.
Z_{L} = Z^{*}_{S} for maximum power transfer. Hence, assertion is a false statement.
Assertion (A): The substitution theorem is very useful in the networks consisting the mutual inductances.
Reason (R): By the substitution theorem, the effect of mutual inductances may be replaced by equivalent dependent sources of the same Value.
Consider the following statements related to
Thevenin’s theorem:
For the application of Thevenin’s theorem
1. the circuit should not. contain noniinear elements.
2. the circuit may contain unilateral or bilateral elements or both.
3. there should not be magnetic coupling between the load and circuit, to be replaced by Thevenin's theorem.
4. there should not be controlled sources on the load size, controlled from some other oart of the circuit.
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