1
GATE EE 2003
MCQ (Single Correct Answer)
+2
-0.6
A point charge of $$+1$$ $$nC$$ is placed in a space with a permittivity of $$8.85 \times {10^{ - 12}}\,F/m$$ as shown in Fig. The potential difference $${V_{PQ}}$$ between two points $$P$$ and $$Q$$ at distance of $$40mm$$ and $$20$$ $$mm$$ respectively from the point charge is GATE EE 2003 Electromagnetic Fields - Electrostatics Question 16 English
A
$$0.22$$ $$kV$$
B
$$-225$$ $$V$$
C
$$-2.24$$ $$kV$$
D
$$15$$ $$V$$
2
GATE EE 2003
MCQ (Single Correct Answer)
+2
-0.6
A parallel plate capacitor has an electrode area of $$100$$ $$m{m^2}$$, with a spacing of $$0.1$$ $$mm$$ between the electrodes. The dielectric between the plates is air with a permittivity of $$8.85 \times {10^{ - 12}}\,\,F/m.$$ The charge on the capacitor is $$100$$ $$V$$. The stored energy in the capacitor is
A
$$8.85\,\,pJ$$
B
$$440\,\,pJ$$
C
$$22.1\,\,nJ$$
D
$$44.3\,\,nJ$$
3
GATE EE 2003
MCQ (Single Correct Answer)
+2
-0.6
A composite parallel plate capacitor is made up of two different dielectric materials with different thickness ($${t_1}$$ and $${t_2}$$) as shown in Fig. The two different dielectric materials are separated by a conducting foil $$F.$$ The voltage of the conducting foil is GATE EE 2003 Electromagnetic Fields - Electrostatics Question 15 English
A
$$52$$ $$V$$
B
$$60$$ $$V$$
C
$$67$$ $$V$$
D
$$33$$ $$V$$
4
GATE EE 2001
MCQ (Single Correct Answer)
+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
$$100\sqrt 3 ;\,\,\left[ {\left( { - i + j - k} \right) - \sqrt 3 } \right]$$
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