1
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider a function $$\overrightarrow f=\frac1{r^2}\widehat r$$ where r is the distance from the origin and $$\widehat r$$ is the unit vector in the radial direction. The divergence of the function over a sphere of radius R, which includes the origin, is
A
0
B
$$2\mathrm\pi$$
C
$$4\mathrm\pi$$
D
$$R\mathrm\pi$$
2
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Match the following. GATE EE 2015 Set 2 Electromagnetic Fields - Electrostatics Question 31 English
A
$$\begin{array}{l}P\;\;\;\;Q\;\;\;\;R\;\;\;\;S\\2\;\;\;\;\;1\;\;\;\;\;4\;\;\;\;\;3\end{array}$$
B
$$\begin{array}{l}P\;\;\;\;Q\;\;\;\;R\;\;\;\;S\\4\;\;\;\;\;3\;\;\;\;\;1\;\;\;\;\;2\end{array}$$
C
$$\begin{array}{l}P\;\;\;\;Q\;\;\;\;R\;\;\;\;S\\3\;\;\;\;\;4\;\;\;\;\;2\;\;\;\;\;1\end{array}$$
D
$$\begin{array}{l}P\;\;\;\;Q\;\;\;\;R\;\;\;\;S\\4\;\;\;\;\;1\;\;\;\;\;3\;\;\;\;\;2\end{array}$$
3
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Two semi-infinite dielectric regions are separated by a plane boundary at y = 0. The dielectric constants of region 1 (y< 0) and region 2 (y>0) are 2 and 5, respectively. Region 1 has uniform electric field $$\overrightarrow E=3{\widehat a}_x\;+\;4{\widehat a}_y\;+\;2{\widehat a}_z$$, where $${\widehat a}_x$$, $${\widehat a}_y$$, and $${\widehat a}_Z$$ are unit vectors along the x, y and z axes, respectively. The electric field in region 2 is
A
$$3{\widehat a}_x\;+\;1.6{\widehat a}_y\;+\;2{\widehat a}_z$$
B
$$1.2{\widehat a}_x\;+\;4{\widehat a}_y\;+\;2{\widehat a}_z$$
C
$$1.2{\widehat a}_x\;+\;4{\widehat a}_y\;+\;0.8{\widehat a}_z$$
D
$$3{\widehat a}_x\;+\;10{\widehat a}_y\;+\;0.8{\widehat a}_z$$
4
GATE EE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
A hollow metallic sphere of radius r is kept at potential of 1 Volt. The total electric flux coming out of the concentric spherical surface of radius R(>r) is
A
$$4{\mathrm{πε}}_0\mathrm r$$
B
$$4{\mathrm{πε}}_0\mathrm r^2$$
C
$$4{\mathrm{πε}}_0\mathrm R$$
D
$$4{\mathrm{πε}}_0\mathrm R^2$$
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