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If V = 2x2y – 5z, find its electric field at point (-4,3,6)
Answer: b Explanation: E = -Grad (V) = -4xy i – 2×2 j + 5k At (-4,3,6), E = 48 i – 32 j + 5 k, |E| = √3353 = 57.905 units.
Answer: b
Explanation: E = -Grad (V) = -4xy i – 2×2 j + 5k
At (-4,3,6), E = 48 i – 32 j + 5 k, |E| = √3353 = 57.905 units.
See lessThe curl of curl of a vector is given by
Answer: b Explanation: Curl (Curl V) = Grad (Div V) – (Del)2V is a standard result of the curl operation.
Answer: b
Explanation: Curl (Curl V) = Grad (Div V) – (Del)2V is a standard result of the curl
operation.
See lessWhich of the following theorem use the curl operation?
Answer: c Explanation: The Stoke’s theorem is given by ∫ A.dl = ∫Curl(A).ds, which uses the curl operation. There can be confusion with Maxwell equation also, but it uses curl in electromagnetics specifically, whereas the Stoke’s theorem uses it in a generalised manner. Thus the best option is StokeRead more
Answer: c
Explanation: The Stoke’s theorem is given by ∫ A.dl = ∫Curl(A).ds, which uses the curl
operation. There can be confusion with Maxwell equation also, but it uses curl in
electromagnetics specifically, whereas the Stoke’s theorem uses it in a generalised
manner. Thus the best option is Stoke’s theorem.
See lessThe curl of a curl of a vector gives a
Answer: b Explanation: Curl is always defined for vectors only. The curl of a vector is a vector only. The curl of the resultant vector is also a vector only.
Answer: b
Explanation: Curl is always defined for vectors only. The curl of a vector is a vector only.
The curl of the resultant vector is also a vector only.
See lessCurl of gradient of a vector is
Answer: c Explanation: Gradient of any function leads to a vector. Similarly curl of that vector gives another vector, which is always zero for all constants of the vector. A zero value in vector is always termed as null vector(not simply a zero)
Answer: c
Explanation: Gradient of any function leads to a vector. Similarly curl of that vector gives
another vector, which is always zero for all constants of the vector. A zero value in
vector is always termed as null vector(not simply a zero)
See lessThe gradient can be replaced by which of the following?
Answer: c Explanation: Since gradient is the maximum space rate of change of flux, it can be replaced by differential equations.
Answer: c
Explanation: Since gradient is the maximum space rate of change of flux, it can be
replaced by differential equations.
See lessGiven B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (-3,4,0)
Answer: a Explanation: r = √(x2+y2+z2 ) = √25 = 5 Θ = cos-1 (z/r) = 1 Φ = tan-1 (y/x) = tan-1 (-4/3) Thus, B = -2i + j.
Answer: a
Explanation: r = √(x2+y2+z2
) = √25 = 5
Θ = cos-1
(z/r) = 1
Φ = tan-1
(y/x) = tan-1
(-4/3)
Thus, B = -2i + j.
See lessThe mathematical perception of the gradient is said to be
Answer: c Explanation: The gradient is the rate of change of space of flux in electromagnetics. This is analogous to the slope in mathematics.
Answer: c
Explanation: The gradient is the rate of change of space of flux in electromagnetics. This
is analogous to the slope in mathematics.
See lessDivergence of gradient of a vector function is equivalent to
Answer: a Explanation: Div (Grad V) = (Del)2V, which is the Laplacian operation. A function is said to be harmonic in nature, when its Laplacian tends to zero.
Answer: a
Explanation: Div (Grad V) = (Del)2V, which is the Laplacian operation. A function is said
to be harmonic in nature, when its Laplacian tends to zero.
See lessFind the gradient of t = x2y+ ez at the point p(1,5,-2)
Answer: b Explanation: Grad(t) = 2xy i + x2 j + ez k. On substituting p(1,5,-2), we get 10i + j + 0.135k.
Answer: b
Explanation: Grad(t) = 2xy i + x2
j + ez k. On substituting p(1,5,-2), we get 10i + j +
0.135k.
See less