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QUESTION: 1

A perfectly conducting filament containing a 250Ω resistor is formed into a square as shown in fig.

Que: If B = 6 cos (120πt - 30^{0} )u_{z }T, then the value of I(t) is

Solution:

QUESTION: 2

A perfectly conducting filament containing a 250Ω resistor is formed into a square as shown in fig.

Que:

If B = 2 cosπ(ct - y) u_{z} μT, where c is the velocity of light, then I(t) is

Solution:

QUESTION: 3

Consider the fig. The rails have a resistance of 2 Ω/m. The bar moves to the right at a constant speed of 9 m/s in a uniform magnetic field of 0.8 T. The bar is at x = 2 m at t = 0.

Que: If 6 Ω resistor is present across the left-end with the right end open-circuited, then at t = 0.5 sec the current I is

Solution:

The flux in the left-hand closed loop is

QUESTION: 4

Consider the fig. The rails have a resistance of 2 Ω/m. The bar moves to the right at a constant speed of 9 m/s in a uniform magnetic field of 0.8 T. The bar is at x = 2 m at t = 0.

Que: If 6 Ω resistor is present across each end, then I at 0.5 sec is

Solution:

In this case, there will be contribution to the current from the right loop, which is now closed. The flux in the right loop, whose area decreases with time, is

QUESTION: 5

The internal dimension of a coaxial capacitor is a = 1.2 cm, b = 4 cm and c = 40 cm. The homogeneous material inside the capacitor has the parameter ε = 10^{-11} F/m, μ = 10^{-}^{5}H/m and σ =10^{-}^{5 }S/m.The electric field intensity is

Que: The current density J is

Solution:

QUESTION: 6

The internal dimension of a coaxial capacitor is a = 1.2 cm, b = 4 cm and c = 40 cm. The homogeneous material inside the capacitor has the parameter ε = 10^{-11} F/m, μ = 10^{-}^{5}H/m and σ =10^{-}^{5 }S/m.The electric field intensity is

Que: The quality factor of the capacitor is

Solution:

Total conduction current

QUESTION: 7

The following fields exist in charge free regions

The possible electromagnetic fields are

Solution:

QUESTION: 8

A parallel-plate capacitor with plate area of 5 cm^{2 }and plate separation of 3 mm has a voltage 50 sin (10^{3} t) V applied to its plates. If ε_{r} = 2, the displacement current is

Solution:

QUESTION: 9

In a coaxial transmission line (ε_{r} = 1), the electric field intensity is given by

The displacement current density is

Solution:

QUESTION: 10

Consider the region defined by |x|,|y| and |z| < 1. Let ε = 5ε_{0} , μ = 4μ_{o} and σ = 0 the displacement current densityJ_{d} = 20cos(1.5 x 10^{8} t - ax)u_{y} μA/m^{2}. Assume no DC fields are present.

Solution:

QUESTION: 11

_{0} , μ = 4μ_{o} and σ = 0 the displacement current densityJ_{d} = 20cos(1.5 x 10^{8} t - ax)u_{y} μA/m^{2}. Assume no DC fields are present.

Que: The magnetic field intensity is

Solution:

QUESTION: 12

_{0} , μ = 4μ_{o} and σ = 0 the displacement current densityJ_{d} = 20cos(1.5 x 10^{8} t - ax)u_{y} μA/m^{2}. Assume no DC fields are present.

Que: The value of α is

Solution:

QUESTION: 13

Let H = 2cos(10^{10} - βx) u_{z} A/m, μ = 3 x 10^{-5} H/m, ε = 1.2 x 10^{-10} F/m and σ = 0 everywhere.

Que: The electric flux density D is

Solution:

QUESTION: 14

Let H = 2cos(10^{10} - βx) u_{z} A/m, μ = 3 x 10^{-5} H/m, ε = 1.2 x 10^{-10} F/m and σ = 0 everywhere.

Que: The magnetic flux density B is

Solution:

QUESTION: 15

A material has σ = 0 and ε_{r} = 1. The magnetic field intensity is H = 4cos ( 10^{6}t - 0.01z)μ_{y} A/m.

Que: The electric field intensity E is

Solution:

QUESTION: 16

A material has σ = 0 and ε_{r} = 1. The magnetic field intensity is H = 4cos ( 10^{6}t - 0.01z)μ_{y} A/m.

Que: The value of μ_{r} is

Solution:

QUESTION: 17

The surface ρ = 3 and 10 mm, and z = 0 and 25 cm are perfect conductors. The region enclosed by these surface has μ = 25 x 10^{-6} H/m, ε = 4 x 10^{-11} F/m and σ = 0. If H = 2/ρ cos8πz cosωt u_{ø} A/m, then the value of ω is

Solution:

QUESTION: 18

For distilled water μ = μ_{o} , ε = 81ε_{o} and σ = 2 x 10^{-3 }S/m, the ratio of conduction current density to displacement current density at 1 GHz is

Solution:

QUESTION: 19

A conductor with cross-sectional area of 10 cm^{2 }carrier a conductor current 2sin (10^{9} t) mA. If σ = 2.5 x 10^{6} S/m and ε_{r} 4.6 the magnitude of the displacement current density is

Solution:

QUESTION: 20

In a certain region

If volume charge density ρ_{v} in z = 0 plane is zero, then ρ_{v} is

Solution:

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