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A transmission line with characteristic impedance 250 Ω is connected to a pure

resistive load of 1000 Ω through a λ/4 line segment. Calculate the characteristic

impedance of this segment to achieve perfect matching between the load and the

transmission line.

resistive load of 1000 Ω through a λ/4 line segment. Calculate the characteristic

impedance of this segment to achieve perfect matching between the load and the

transmission line.

b) A surface wave with frequency ω = 3 × 10^(−5)

rad/ s

is propagating at a metal-free

space boundary. The plasma frequency of metal is 9 × 10^(15) rad and εr = 7. Estimate

k. If the amplitude of the wave is 10^(5)

Vm−1

at the surface, what will be its value at

the depth of 0.2 µm in the metal? Ignore the collision effect.

rad/ s

is propagating at a metal-free

space boundary. The plasma frequency of metal is 9 × 10^(15) rad and εr = 7. Estimate

k. If the amplitude of the wave is 10^(5)

Vm−1

at the surface, what will be its value at

the depth of 0.2 µm in the metal? Ignore the collision effect.

If y = e^{m tan^(-1)x},show that (1+x^2)y n+1 + ( 2nx-m)yn + n(n-1)=0

2 kg of water is heated from 0°C to 100°C and converted into steam at the same

temperature. Calculate the increase in entropy, given that specific heat of water is

4.18 × 103

J kg−1

K−1

and Latent heat of vaporisation is 2.27 × 107

J kg−1

.

temperature. Calculate the increase in entropy, given that specific heat of water is

4.18 × 103

J kg−1

K−1

and Latent heat of vaporisation is 2.27 × 107

J kg−1

.

temperature. Calculate the increase in entropy, given that specific heat of water is

4.18 × 103

J kg−1

K−1

and Latent heat of vaporisation is 2.27 × 107

J kg−1

.

Solve the following ODE using power series method. (x+2)y"+xy'-y=0

Show that the function u(x,y)=arc tan(y/x) is a solution of 2 Dimensional Laplace equation

x = 2t – 1

y = t2 + 5, -4 ≤ t ≤ 4

y = t2 + 5, -4 ≤ t ≤ 4

Find the interval if following function for f(x)=e^x(2-3x-x^3)-6/e is decreasing

Express the vector field vector F=xzi+(x^2+ y^2) j+( x/z)k in cylindrical polar coordinates.