A positive charge of 1 nC is placed at (0, 0, 0.2) where all dimensions are in metres.
Consider the
x - y
plane to be a conducting ground plane.
Take $${\varepsilon _0} = 8.85 \times {10^{ - 12}}$$ F/m.
The Z
component of the E field at (0, 0, 0.1) is closest to
A
899.18 V/m
B
- 899.18 V/m
C
999.09 V/m
D
- 999.09 V/m
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).
Your input ____
3
GATE EE 2018
Numerical
+2
-0
A dc to dc converter shown in the figure is charging a battery bank, B2 whose voltage is
constant at 150 V. B1 is another battery bank whose voltage is constant at 50 V. The value
of the inductor, L is 5 mH and the ideal switch, S is operated with a switching frequency of
5 kHz with a duty ratio of 0.4. Once the circuit has attained steady state and assuming the
diode D to be ideal, the power transferred from B1 to B2 (in Watt) is ___________ (up to 2
decimal places).
Your input ____
4
GATE EE 2018
Numerical
+2
-0
The figure shows two buck converters connected in parallel. The common input dc voltage
for the converters has a value of 100 V. The converters have inductors of identical value.
The load resistance is 1 $$\Omega $$. The capacitor voltage has negligible ripple. Both converters
operate in the continuous conduction mode. The switching frequency is 1 kHz, and the
switch control signals are as shown. The circuit operates in the steady state. Assuming that
the converters share the load equally, the average value of $${i_{S1}}$$, the current of switch S1 (in
Ampere), is _____ (up to 2 decimal places).
