CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Capacitor in an AC Circuit

A lossless co...

Question

$A l o s s l e s s c o a x i a l c a b l e h a s t h e t w o - c o n d u c t i o n d i a m e t e r r a t i o o f 2.0 . T h e c h a r a c t e r i s t i c i m p e d a n c e (Z_{0}) i s_____Ω (a s s u m i n g a f i l l i n g o f d i e l e c t r i c w i t h ε_{r} = 2.025) .$
29.22

Open in App

Solution

The correct option is A 29.22
$Z_{0} = \sqrt{\frac{L}{C}} \sqrt{\frac{μ}{2 π} \frac{i n (\frac{b}{a})}{\frac{2 π \times ε}{i n (\frac{b}{a})}}} Z_{0} = \frac{1}{2 π} \times \frac{120 π}{\sqrt{ε_{r}}} \times I n (2) Z_{0 =} \frac{1}{2 π} \times \frac{120 π}{\sqrt{ε_{r}}} \times I n (2) = \frac{60}{\sqrt{2.025}} I n 2 = 29.22 Ω Z_{0} = 29.22 Ω$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Consider a coaxial cable with inner radius of 1 mm and outer radius of 3 mm. The region in between inner surface and outer surface is filled with dielectric material

μ_{1} = 1, ε_{r} = 1

and has zero initial inductance. The inductance for a coaxial cable of length 1 km is _______

μ H

.

Q. In the following figure, the transmitter

T_{x}

sends a wideband modulated RF signal via a coaxial cable to the receiver

R_{x}

. The output impedance

Z_{T}

T_{x}

. The characteristic impedance

Z_{0}

of the cable and the input impedance

Z_{R}

R_{x}

Which one of the following statements is TRUE about the distortion of the received signal due to impedance mismatch?

Q. Two coaxial cables 1 and 2 are filled with different dielectric constants

ϵ_{r_{1}}

ϵ_{r_{2}}

respectively. The ratio of the wavelengths in the two cables,

(λ 1 / λ_{2})

Q. A load with impedance

Z_{L} = (25 - j 50) Ω

is ti be connected to a loss-less transmission line with characteristic impedance

Z_{0}

Z_{0}

chosen such that the standing wave ratio is the smallest possible. Then what should be the value of

Z_{0}

?

Q. The capacitance per unit length and the characteristic impedance of a lossless transmission line are C and

Z_{0}

respectively. The velocity of a travelling wave on the transmission line is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Alternating Current Applied to a Capacitor

PHYSICS

Watch in App

explore_more_icon

Explore more

Capacitor in an AC Circuit

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon