1
GATE EE 2021
Numerical
+2
-0
Consider a large parallel plate capacitor. The gap $d$ between the two plates is filled entirely with a dielectric slab of relative permittivity 5 . The plates are initially charged to a potential difference of V volts and then disconnected from the source. If the dielectric slab is pulled out completely, then the ratio of the new electric field $E_2$ in the gap to the original electric field $E_1$ is $\_\_\_\_$ .
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2
GATE EE 2018
Numerical
+2
-0
The capacitance of an air-filled parallel-plate capacitor is 60 pF. When a dielectric slab
whose thickness is half the distance between the plates, is placed on one of the plates
covering it entirely, the capacitance becomes 86 pF. Neglecting the fringing effects, the
relative permittivity of the dielectric is _____________ (up to 2 decimal places).
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3
GATE EE 2017 Set 2
Numerical
+2
-0
A thin soap bubble of radius R = 1 cm, and thickness a = 3.3 µm(a << R), is at a potential of 1
V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical
drop of soap (assuming all the soap is contained in the drop) of radius r. The volume of the soap
in the thin bubble is $$4\mathrm{πR}^2\mathrm a$$ and that of the drop is $$\frac43\mathrm{πr}^3$$. The potential in volts, of the resulting
single spherical drop with respect to the same reference point at infinity is __________. (Give
the answer up to two decimal places.)


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4
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Two electric charges q and -2q are placed at (0,0) and (6,0) on the x-y plane. The equation of the
zero equipotential curve in the x-y plane is
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