# MCQs on Electric Circuits

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01․ Given network is having N nodes and B branches, then number of twigs are
N.
N - 1.
B - N + 1.
B - N - 1.

Number of twigs is nothing but the number branches of a tree. Those are equals to N - 1.

02․ Given network is having N nodes and b branches, then number of individual loops are
N.
N - 1.
b - N + 1.
b - N - 1.

Number of individual loops is nothing but number of links of co-tree. These are represented by (branches - nodes + 1).

03․ If N is the number of nodes and b is the number of branches in a network, then rank of cut set matrix is
N.
N - 1.
b - N + 1.
b - N - 1.

Rank of cutset matrix = twigs of tree = N - 1.

04․ If N is the number of nodes and b is the number of branches in a network, then rank of tie set matrix is
N.
N - 1.
b - N + 1.
b - N - 1.

Rank of tie set matrix = Number of links = b - N + 1.

05․ Basic cut set matrix consists of
one branch.
no branches.
2 branch.
any number of branches.

Basic cut set consists of only one branch. If two or more branches are present , then it is no more called as basic cut set but it can be called as cutset only.

06․ Active filter consists of
capacitor.
inductor.
op-amp and capacitor.
op-amp.

In active filter inductor element is absent. Only capacitor and op-amp are used in active filters.

07․ Mesh analysis is prefered when loops are------nodes
less than
greater than
equals to
any of the above

Mesh analysis is based on loops. So when loops are less in number than nodes then it is simple to find the loop current than node voltages.

08․ Reciprocity condition for h parameters is
h12 = h21.
h12 = - h21.
h12 = h21.
h11h22 - h21h12 = 0.

A two port network will be reciprocal if ratio of transform to excitation will not interchange due to interchange their position. The Reciprocity condition for h parameters is h12 = - h21
. Symmetrical condition for h parameters is h11h22 - h21h12 = 0.

09․ A pole of driving point impedance is
zero current for a finite value of driving voltage.
zero voltage for a finite value of driving current.
zero voltage for a finite value of driving voltage.
zero current for a finite value of driving current.

Driving point impedance Z = V/I. Poles are located on denominators of the function. At zero current for a finite value of a driving point voltage we found the pole.

10․ According to duality principle a series inductor (L) can be represented as
Series L.
Parallel L.
Series C.
Parallel C.

According to duality, as they will show same characteristics for voltage or current. Series L can be represent as parallel C. Series C can be represent as parallel L.

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