The r.m.s value of the current i(t) in the circuit shown below is

**A. ** 1/2 A

**B. **

**C. ** 1 A
**D. **

**Answer : ****Option B**

**Explaination / Solution: **

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A function 1 – x^{2} + x^{3 }is defined in the closed interval [-1, 1]. The value of x , in the open interval (-1, 1) for which the mean value theorem is satisfied, is

**A. ** -1/2

**B. ** -1/3

**C. ** 1/3

**D. ** 1/2

**Answer : ****Option B**

**Explaination / Solution: **

Lagrange’s mean value theorem states that if a function f(x) is continuous in close interval [a, b] and differentiable in open interval (a + b), then for point c in the interval, we may define

Since, polynomial function is always continuous and differentiable, so

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A three – bus network is shown in the figure below indicating the p.u. impedances of each element.

The bus admittance matrix, Y – bus, of the network is

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In the following graph, the number of trees (P) and the number of cut-set (Q) are

**A. ** P = 2,Q = 2

**B. ** P = 2,Q = 6

**C. ** P = 4,Q = 6

**D. ** P = 4,Q = 10

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

**Explaination / Solution: **

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The Thevenin equivalent impedance Z_{th} between the nodes P and Q in the
following circuit is

**A. ** 1

**B. ** 1 +S+ 1/S

**C. ** 2+S+1/S

**D. **

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

**Explaination / Solution: **

Killing all current source and voltage sources we have,

Killing all current source and voltage sources we have,

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The graph associated with an electrical network has 7 branches and 5 nodes. The number of independent KCL equations and the number of independent KVL equations, respectively, are

**A. ** 2 and 5

**B. ** 5 and 2

**C. ** 3 and 4

**D. ** 4 and 3

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

**Explaination / Solution: **

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With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:

(i) 1Ω connected at port B draws a current of 3 A

(ii) 2.5Ω W connected at port B draws a current of 2 A

For the same network, with 6 V dc connected at port A, 1Ω connected at port B draws 7/3 A.
If 8 V dc is connected to port A, the open circuit voltage at port B is

No Explaination.

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Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k > 0, the elements of the corresponding star equivalent will be scaled by a factor of

In the equivalent star connection, the resistance can be given as

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The following series RLC circuit with zero conditions is excited by a unit impulse functions 𝛿(t).

For t > 0, the voltage across the resistor is

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In the following transistor circuit, , and 𝛽 and all the capacitances are very large

The value of DC current IE is

For the given DC values the Thevenin equivalent circuit is as follows

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