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GATE EC 2018: Mini Mock 3
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Question 1
In free space 
then average power crossing a circular Area of radius 2.5m in the plane 1=constant is: -
then average power crossing a circular Area of radius 2.5m in the plane 1=constant is: - Question 2
The volume under the surface z(x,y) = x + y and above the triangle in the x – y plane defined by {0 ≤ y ≤ x and 0 ≤ x ≤ 12} is ___________.
Question 3
The building block shown in fig. is a active high output decoder.
The output X is
The output X is
Question 4
Calculate the value of i(t) from given circuit if an input voltage is given by sin10t
Question 5
Lifetime of an electric bulb is a random variable with density f(x) = kx2 where x is measured in years. If the minimum and maximum lifetimes of bulb are 1 and 2 years respectively, then the value of k is ________.
Question 6
Two silicon diodes, with a forward voltage drop of 0.7 V, are used in the circuit shown in the figure. The range of input voltage 
for which the output voltage 
for which the output voltage Question 7
Fifteen coupons are numbered, 1, 2, 3, .....15. Seven coupons are selected at random one at a time with replacement. Find the probability the largest number appearing on the coupon is 9's..
Question 8
Predict the open loop transfer function G(s)H(s) of this pole-zero diagram given below, 
Question 9
Consider an amplifier circuit using a BJT having IS = 10−15 A, a Collector resistance RC = 6.8 kΩ, and a power supply VCC = 10V and
VCE = 3.2 V, Vt = 0.025 V
Determine the corresponding value of IC and voltage gain Av at this bias point.
VCE = 3.2 V, Vt = 0.025 V
Determine the corresponding value of IC and voltage gain Av at this bias point.
Question 10
The directional derivative of f (x, y, z) =x2 - y2 +2z2 at P (1, 2, 3) in the direction of line PQ, where Q = (5, 0, 4), is ________.
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