1
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.) 2
GATE EE 2016 Set 1
+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
A
x=-2
B
y=2
C
$$x^2+y^2=2$$
D
$$\left(x+2\right)^2+y^2=16$$
3
GATE EE 2015 Set 2
+2
-0.6
Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of +𝑄 is placed at a distance of 𝑑 from both sheets. The net force on the charge is $$\frac{Q^2}{4{\mathrm{πε}}_0}\frac{\overrightarrow K}{d^2}$$ , where $$\overrightarrow K$$ is given by A
0
B
$$-\frac14\widehat i\;-\frac14\widehat j$$
C
$$-\frac18\widehat i\;-\frac18\widehat j$$
D
$$\frac{1-2\sqrt2}{8\sqrt2}\widehat i\;+\frac{1-2\sqrt2}{8\sqrt2}\widehat j$$
4
GATE EE 2015 Set 1
Numerical
+2
-0
A parallel plate capacitor is partially filled with glass of dielectric constant 4.0 as shown below. The dielectric strengths of air and glass are 30 kV/cm and 300 kV/cm, respectively. The maximum voltage (in kilovolts), which can be applied across the capacitor without any breakdown, is ______. GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement
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