1
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
$$3{\widehat a}_x\;+\;10{\widehat a}_y\;+\;0.8{\widehat a}_z$$
2
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
$$4{\mathrm{πε}}_0\mathrm R^2$$
3
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is place symmetrically with respect to the plates. GATE EE 2014 Set 2 Electromagnetic Fields - Electrostatics Question 35 English If the potential difference between one of the plates and the nearest surface of dielectric interface is 2 Volts, then the ratio $$\varepsilon_1\;:\;\varepsilon_2$$ is
A
1:4
B
2:3
C
3:2
D
4:1
4
GATE EE 2010
MCQ (Single Correct Answer)
+1
-0.3
Divergence of the three-dimentional radial vector field $$\overrightarrow F$$ is
A
3
B
1/r
C
$$\widehat i+\widehat j+\widehat k$$
D
$$3\left(\widehat i+\widehat j+\widehat k\right)$$
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