Consider a linear system whose state space representation is x(t) = Ax(t). If the initial state vector of the system is then the system response is If the itial state vector of the system changes to the system response becomes

The system matrix A is

No Explaination.

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If C is code curve enclosing a surface S , then magnetic field intensity , the
current density and the electric flux density are related by

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option D**

**Explaination / Solution: **

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It is given that X, X .... X_{M} at M non-zero, orthogonal vectors. The dimension of
the vector space spanned by the 2M vectors X, X, ....XM, - X, - X, ..... - XM is

**A. ** 2M

**B. ** M+

**C. ** M

**D. ** dependent on the choice of X, X, ...XM

**Answer : ****Option C**

**Explaination / Solution: **

For two orthogonal vectors, we require two dimensions to define them and similarly for three orthogonal vector we require three dimensions to define them. 2M vectors are basically M orthogonal vector and we require M dimensions to define them.

For two orthogonal vectors, we require two dimensions to define them and similarly for three orthogonal vector we require three dimensions to define them. 2M vectors are basically M orthogonal vector and we require M dimensions to define them.

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Thefield (in A/m) of a plane wave propagating in free space is given by**A. ** η_{0}/100

**B. ** 100/η0
**C. **

**D. ** 50/η0
**Answer : ****Option D**

**Explaination / Solution: **

The time average power flow density in Watts is

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The RC circuit shown in the figure is

**A. ** a low-pass filter

**B. ** a high-pass filter

**C. ** a band-pass filter

**D. ** a band-reject filter

**Answer : ****Option C**

**Explaination / Solution: **

At ω⟶3, capacitor acts as short circuited and circuit acts as shown in fig below

At ω⟶3, capacitor acts as short circuited and circuit acts as shown in fig below

At ω⟶0, capacitor acts as open circuited and circuit look like as shown in fig
below

So frequency response of the circuit is as shown in fig and circuit is a Band pass
filter.

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Two series resonant filters are as shown in the figure. Let the 3-dB bandwidth
of Filter 1 be B_{1} and that of Filter 2 be B_{2}. the value B_{1}/B_{2 }is

**A. ** 4

**B. ** 1

**C. ** 1/2

**D. ** 1/4

**Answer : ****Option D**

**Explaination / Solution: **

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For the circuit shown in the figure, the Thevenin voltage and resistance looking into X − Y are

Here V

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In the circuit shown, v_{C} is 0 volts at t = 0 sec. For t > 0, the capacitor current i_{C}(t), where t is in seconds is given by

**A. ** 0.50 exp(− 25t) mA

**B. ** 0.25 exp(− 25t) mA

**C. ** 0.50 exp(− 12.5t) mA

**D. ** 0.25 exp(− 6.25t) mA

**Answer : ****Option A**

**Explaination / Solution: **

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In the ac network shown in the figure, the phasor voltage V_{A} (in Volts) is

**A. ** 0

**B. **

**C. **

**D. **

**Answer : ****Option D**

**Explaination / Solution: **

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For the Zener diode shown in the figure, the Zener voltage at knee is 7 V, the
knee current is negligible and the Zener dynamic resistance is 10 Ω. If the input
voltage (V_{i}) range is from 10 to 16 V, the output voltage (V_{0}) ranges from

**A. ** 7.00 to 7.29 V

**B. ** 7.14 to 7.29 V

**C. ** 7.14 to 7.43 V

**D. ** 7.29 to 7.43 V

**Answer : ****Option C**

**Explaination / Solution: **

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