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GATE EE : Electromagnetic fields Champion Quiz 2

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Question 1

A combination of 1 mF capacitor with an initial voltage V_c(0) = ‒2 V in series with a 100 W resistor is connected to a 20 mA ideal dc current source by operating both switches at t = 0 s as shown. Which of the following graphs shown in the options approximates the voltage vs across the current source over the next few seconds?

Question 2

Two semi-infinite dielectric regions separated by a plane boundary at y = 0. The dielectric constant of region 1(y < 0) and region 2 (y > 0) are 2 and 5, respectively. Region 1 has uniform electric field

, where

and

are unit vectors along the x, y and z axes, respectively. The electric field in region 2 is

Question 3

A capacitor of 4700 µF is connected in a circuit. Once the capacitor is charged, find the charge on positive plate of capacitor?

Question 4

If a current carrying wire is pulled from conducting loop as shown, then what will be the direction of current along wires?

Question 5

The charge distribution in a metal-dielectric-semiconductor specimen is shown in the following figure. The negative charge density decreases linearly in the semiconductor as shown. The electric field distribution is as shown in

Question 6

A capacitor is made with a polymeric dielectric having an ε_r of 2.26 and a dielectric breakdown strength of 50 kV/cm. The permittivity of free space is 8.85 pF/m. If the rectangular plates of the capacitor have a width of 20 cm and a length of 40 cm, then the maximum electric charge in the capacitor is

Question 7

A dielectric slab with 500 mm × 500 mm cross–section is 0.4 m long. The slab is subjected to a uniform electric field of E = 6a_x + 8a_y kV/mm. The relative permittivity of the dielectric material is equal to 2. The value of constant ε₀ is 8.85 × 10^–12 F/m. The energy stored in the dielectric in Joules is

Question 8

A capacitor consists of two metal plates each 500 × 500 mm² and spaced 6mm apart. The space between the metal plates is filled with a glass plate of 4mm thickness and a layer of paper of 2mm thickness. The relative permittivities of the glass and paper are 8 and 2 respectively. Neglecting the fringing effect, the capacitance will be (Given that ε₀ = 8.85 × 10^–12 F/m)

Question 9

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness (t₁ and t₂) as shown in Fig. The two different dielectric materials are separated by a conducting foil F. The voltage of the conducting foil is

Question 10

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 ______.

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ESE & GATE EE Electromagnetic Fields

Jun 20ESE & GATE EE