The current flowing through the resistance of 10 Ω for the circuit shown below is
The given circuit can be replaced by an equivalent circuit as shown below:
and
Hence,
The Thevenin’s equivalent voltage source across the terminals XY shown below is
For finding V_{oc'} the terminal XY is open circuited. Thus, current through voltage source (\/_{s}) becomes zero. i.e. I_{s} = 0 due to which 0.5I_{s} voltage source gets short circuited.
Thus, V_{oc} = 3 x 1 = 3 volt
The Norton’s equivalent resistance across the diode in the given circuit is
For finding R_{N} across diode, the independent voltage sources will be short circuited.
Hence, R_{N} = 5 + 5 = 10 Ω
Assuming the opamp to be ideal, the input admittance of the opamp shown below is
Since the opamp is ideal, the inverting terminal will be virtually grounded.
Hence, V_{i} = I_{1 }R_{1}
or,
or,
In the πcircuit shown below, the current through the 2 Ω, resistor is
Here, we apply superposition theorem.
Taking the 20 A current source only:
Taking the 10 A current source only:
Hence, the net current through the 2 Ω resistor
= I_{1 } I_{2} = (6.67  5) A = 1.67A
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The equivalent resistance of the given circuit is
Given circuit can be reduced as shown below.
The maximum power that a 12 V d.c. source with an interna! resistance of 2 Ω can supply toa resistive load is
The Norton’s equivalent circuit for the circuit shown below across the terminals XY can be represented as a current source (I_{N}) connected across a resistance (R_{N}). The value of I_{N} and R_{N} are respectively
Here, V_{XY }= V_{OC} = 1 x I_{1} = I_{1}
Applying KVL in the loop, we have
I_{1} x 1  2 + 2 I_{1 } 0.5 I_{1} = 0
or, I_{1}  0.8 A
Hence, V_{OC} = 0.8 V
When the termical XY is short circuited then,
I_{1} = 0
∴
So,
To effect maximum power transfer to the load, Z_{L} (W) for the circuit shown below should be
For maximum power transfer,
Z_{L }= Z_{S}^{*}
or, Z_{L }= 6  j4
or, Z_{L} = 7.211 ∠33°.69Ω
In order to apply superposition theorem, it is necessary that the network be only
A network N is to be connected to a load of 500 ohms. If the Thevenin’s equivalent voltage and Norton’s equivalent current of N are 5 volts and 10 mA respectively, the current through the load will be
Given,
∴
= 500 Ω
Hence, the current through the load is
If all the elements in a particular network are linear, then the superposition theorem would hold, when the excitation is
The maximum value of power transferred to the load Z_{L} shown in figure below is
Also, V_{OC} across Z_{L} is
According to maximum power transfer theorem,
Hence,
In the circuit shown below, the current through the inductive reactance is
Let us apply superposition theorem.
Here,
and
∴
= 10 ∠ 90 ° + 0 = j10 A
Which of the following theorems is applicable for both linear and nonlinear circuits?
While determining R_{Th} of a circuit
1. voltage and current sources should be left as they are.
2. all independent current and voltage sources are shortcircuited.
3. all sources should be replaced by their source resistances.
4. all dependent sources remain as they are.
Q. Which of the statements is/are true in relation of R_{Th}?
For the circuit given in figure below, the Thevenin’s voltage and resistance as seen at “AB" are respectively
(Using voltage divider rule)
R_{Th} across,
Consider the following statements about Norton’s equivalent of a circuit across a given two load terminals:
1. Norton’s equivalent resistance is the same as Thevenin’s equivalent resistance R_{Th}.
2. Norton’s equivalent is the voltage equivalent of the network.
3. The load is connected in parallel to the Norton’s equivalent resistance.
Out of the above statements, which statements hold true?
When the power transferred to the load is maximum, the efficiency is
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