1
GATE EE 2001
+2
-0.6
The electric field $$\overrightarrow E$$ (in volts/metre) at the point $$(1, 1, 0)$$ due to a point charge of $$+1$$ $$\mu C$$ located at $$\left( { - 1,\,1,\,1} \right)$$ (coordinates in metres) is
A
$${{{{10}^{ - 6}}} \over {20\sqrt 5 \pi {\varepsilon _0}}}\left( {2i - k} \right)$$
B
$${{{{10}^{ - 6}}} \over {20\pi {\varepsilon _0}}}\left( {2i - k} \right)$$
C
$${{ - {{10}^{ - 6}}} \over {20\sqrt 5 \pi {\varepsilon _0}}}\left( {2i - k} \right)$$
D
$${{ - {{10}^{ - 6}}} \over {20\pi {\varepsilon _0}}}\left( {2i - k} \right)$$
2
GATE EE 2001
+2
-0.6
Given the potential function in free space to be $$V\left( x \right) = \left( {50{x^2} + 50{y^2} + 50{z^2}} \right)$$ volts, the magnitude (in volts /metre) and the direction of the electric field at a point $$\left( {1,\,\, - 1,\,\,1} \right),$$ where the dimensions are in metres, are
A
$$100\,\,\,\,;\left( {i + j + k} \right)$$
B
$$100/\sqrt 3 ;\,\,\left( {i - j + k} \right)$$
C
$$100\sqrt 3 ;\,\,\left[ {\left( { - i - j - k} \right) - \sqrt 3 } \right]$$
D
$$100\sqrt 3 ;\,\,\left[ {\left( { - i + j - k} \right) - \sqrt 3 } \right]$$
3
GATE EE 1997
Numerical
+2
-0
The capacitance of an isolated sphere of radius 10 cm in air is equal to _____ pF.
4
GATE EE 1997
Fill in the Blanks
+2
-0
The capacitance of the arrangement shown in Fig. is ................... $$pF$$ GATE EE Subjects
Electric Circuits
Electromagnetic Fields
Signals and Systems
Electrical Machines
Engineering Mathematics
General Aptitude
Power System Analysis
Electrical and Electronics Measurement
Analog Electronics
Control Systems
Power Electronics
Digital Electronics
EXAM MAP
Joint Entrance Examination