1
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
$$\int\int\left(\nabla\times\mathrm P\right)\;\cdot\mathrm{ds}$$ , where is a vector, is equal to
A
$$\mathrm P\times\nabla\times\mathrm P\;-\;\nabla^2\;\mathrm P$$
B
$$\nabla^2\;\mathrm P\;+\;\nabla\left(\nabla\cdot\mathrm P\right)$$
C
$$\nabla^2\;\mathrm P\;+\;\nabla\times\mathrm P$$
D
$$\nabla\left(\nabla\cdot\mathrm P\right)-\nabla^2\;\mathrm P\;$$
2
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
$$\nabla \times \nabla \times P$$, where P is a vector, is equal to
A
$$P \times \nabla \times P - {\nabla ^2}P$$
B
$${\nabla ^2}P + \nabla \left( {\nabla .P} \right)$$
C
$${\nabla ^2}P + \nabla \times P$$
D
$$\nabla \left( {\nabla .P} \right) - {\nabla ^2}P$$
3
GATE ECE 2003
MCQ (Single Correct Answer)
+1
-0.3
The unit of $$\nabla\times\mathrm H$$ is
A
Ampere
B
Ampere/meter
C
Ampere/meter2
D
Ampere - meter
4
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
An electric field on a plane is described by its potential V = $$20\left(r^{-1}\;+\;r^{-2}\right)$$ where r is the distance from the source. The field is due to
A
a monopole
B
a dipole
C
both a monopole and a dipole
D