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This set of Electromagnetics Multiple Choice Questions & Answers (MCQs) focuses on Electromagnetics Set 1
Q1 | Gradient of a function is a constant. State True/False.
- true
- false
Q2 | The mathematical perception of the gradient is said to be
- tangent
- chord
- slope
- arc
Q3 | Divergence of gradient of a vector function is equivalent to
- laplacian operation
- curl operation
- double gradient operation
- null vector
Q4 | Curl of gradient of a vector is
- unity
- zero
- null vector
- depends on the constants of the vector
Q5 | Find the gradient of the function given by, x2 + y2 + z2 at (1,1,1)
- i + j + k
- 2i + 2j + 2k
- 2xi + 2yj + 2zk
- 4xi + 2yj + 4zk
Q6 | The gradient can be replaced by which of the following?
- maxwell equation
- volume integral
- differential equation
- surface integral
Q7 | . Find the gradient of the function sin x + cos y.
- cos x i – sin y j
- cos x i + sin y j
- sin x i – cos y j
- sin x i + cos y j
Q8 | The divergence of a vector is a scalar. State True/False.
- true
- false
Q9 | The divergence concept can be illustrated using Pascal’s law. State True/False.
- true
- false
Q10 | Compute the divergence of the vector xi + yj + zk.
- 0
- 1
- 2
- 3
Q11 | Find the divergence of the vector yi + zj + xk.
- -1
- 0
- 1
- 3
Q12 | Find the divergence of the vector F= xe-x i + y j – xz k
- (1 – x)(1 + e-x)
- (x – 1)(1 + e-x)
- (1 – x)(1 – e)
- (x – 1)(1 – e)
Q13 | Find whether the vector is solenoidal, E = yz i + xz j + xy k
- yes, solenoidal
- no, non-solenoidal
- solenoidal with negative divergence
- variable divergence
Q14 | Find the divergence of the field, P = x2yz i + xz k
- xyz + 2x
- 2xyz + x
- xyz + 2z
- 2xyz + z
Q15 | Identify the nature of the field, if the divergence is zero and curl is also zero.
- solenoidal, irrotational
- divergent, rotational
- solenoidal, irrotational
- divergent, rotational
Q16 | Curl is defined as the angular velocity at every point of the vector field. State True/False.
- true
- false
Q17 | The curl of curl of a vector is given by,
- div(grad v) – (del)2v
- grad(div v) – (del)2v
- (del)2v – div(grad v)
- (del)2v – grad(div v)
Q18 | Which of the following theorem use the curl operation?
- green’s theorem
- gauss divergence theorem
- stoke’s theorem
- maxwell equation
Q19 | The curl of a curl of a vector gives a
- scalar
- vector
- zero value
- non zero value
Q20 | Is the vector is irrotational. E = yz i + xz j + xy k
- yes
- no
Q21 | Find the curl of A = (y cos ax)i + (y + ex)k
- 2i – ex j – cos ax k
- i – ex j – cos ax k
- 2i – ex j + cos ax k
- i – ex j + cos ax k
Q22 | Find the curl of the vector A = yz i + 4xy j + y k
- xi + j + (4y – z)k
- xi + yj + (z – 4y)k
- i + j + (4y – z)k
- i + yj + (4y – z)k
Q23 | Curl cannot be employed in which one of the following?
- directional coupler
- magic tee
- isolator and terminator
- waveguides
Q24 | Which of the following Maxwell equations use curl operation?
- maxwell 1st and 2nd equation
- maxwell 3rd and 4th equation
- all the four equations
- none of the equations
Q25 | The integral form of potential and field relation is given by line integral. State True/False
- true
- false