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MCQ
BASIC ELECTRONICS
CONTROL SYSTEM ENGINEERING
DIGITAL ELECTRONICS
ELECTRICAL CIRCUIT ANALYSIS
ELECTRICAL ENERGY CONSERVATION AND AUDITING
ELECTRICAL ENGINEERING MATERIALS
ELECTRICAL MACHINES
ELECTRICAL VEHICLES
ELECTRICAL WIRING
ELECTROMAGNETICS
MEASUREMENT & INSTRUMENTATION
MICROPROCESSOR AND MICROCONTROLLER INTERFACING
POWER ELECTRONICS & DRIVES
POWER SYSTEM
SIGNALS & SYSTEMS
UTILIZATION OF ELECTRICAL ENERGY
ELECTROMAGNETICS
Q1.
The magnitude of the gradient of the function \(F = xyz^3\) at \((1,0,2)\) is
0
3
8
Infinity
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Solution
Q2.
Determine the constant 'C' such that the vector \(\vec F=(x+5y)\hat a_x+(y-3x)\hat a_y+(x+cz)\hat a_z\) will be Solenoidal.
c = 1
c = -1
c = 2
c = -2
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Solution
Q3.
In a Cartesian coordinate system, axes x, y and z are at __________to each other.
45°
90°
120°
180°
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Solution
Q4.
The cross product of the same vector to itself is _ .
0
1
∞
100
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Solution
Q5.
Cylindrical coordinate 'z' is related to the Cartesian coordinate as .
\( \tan^{-1}(\frac{y}{x}) \)
\(z\)
\(\frac{xy}{z}\)
\(\cot z\)
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Solution
Q6.
In a Spherical coordinate system, Φ is .
angle of elevation
azimuthal angle
distant from the origin to the point
all of these
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Solution
Q7.
As per coulomb's law, electric field intensity (E) for a simple point charge is: (Consider R as radius of sphere)
\(\frac{1}{4\pi \varepsilon_r} \Big (\frac{Q}{R^2} \Big ) \:V/m \)
\(\frac{1}{4\pi \varepsilon_0} \Big (\frac{Q}{R} \Big ) \:V/m \)
\(\frac{1}{4\pi \varepsilon_0} \Big (\frac{Q}{R^2} \Big ) \:V/m \)
\(\frac{1}{4\pi \varepsilon_r} \Big (\frac{Q}{R} \Big ) \:V/m \)
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Solution
Q8.
Assuming the conductor carries charge \(\pm q\) per unit length, with the inner conductor being positively charged. Applying Gauss' theorem to cylindrical Gaussian surface of radius \(r\), the radial component of electric field intensity \(D_r\) is given by :
\(D_r = \frac{q}{2r}\)
\(D_r = \frac{q}{r}\)
\(D_r = \frac{q}{2\pi r}\)
\(D_r = \frac{q}{4\pi r}\)
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Solution
Q9.
As per Gauss' Law, charge density inside a perfect conductor is zero if E is ________.
positive
Negative
unity
Zero
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Solution
Q10.
Divergence of the vector field, \(V(x,y,z) = - (x\cos(xy) + y)i + (ycos(xy))j + (sinz^2 + x^2 + y^2)k \) is
2zcosz2
sinxy + 2zcosz2
xsinxy - cosz
none of these
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Solution
1
2
3
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