• We need your support!

    We are currently struggling to cover the operational costs of Xtremepapers, as a result we might have to shut this website down. Please donate if we have helped you and help make a difference in other students' lives!
    Click here to Donate Now (View Announcement)

Physics: Post your doubts here!

Messages
11
Reaction score
5
Points
13
QUESTION: An optic fibre has a signal attenuation of 0.20 dB km–1. The input signal to the optic fibre has a power of 26 mW. The receiver at the output of the fibre has a noise power of 6.5 µW. Calculate the maximum uninterrupted length of optic fibre given that the signal-to-noise ratio at the receiver must not be less than 30 dB

ANSWER SCHEME : if P is power at receiver, 30 = 10lg(P / (6.5 × 10–6) C1 P = 6.5 × 10–3 W
loss along cable = 10lg({26 × 10–3} / {6.5 × 10-3})
= 6.0 dB
length = 6.0 / 0.2 = 30 km

I dont understand how to approach this whole problem :/ its from s08 qp 4 of cie a level physics, help will be very very much appreciated.
 
Messages
2,206
Reaction score
2,824
Points
273
QUESTION: An optic fibre has a signal attenuation of 0.20 dB km–1. The input signal to the optic fibre has a power of 26 mW. The receiver at the output of the fibre has a noise power of 6.5 µW. Calculate the maximum uninterrupted length of optic fibre given that the signal-to-noise ratio at the receiver must not be less than 30 dB

ANSWER SCHEME : if P is power at receiver, 30 = 10lg(P / (6.5 × 10–6) C1 P = 6.5 × 10–3 W
loss along cable = 10lg({26 × 10–3} / {6.5 × 10-3})
= 6.0 dB
length = 6.0 / 0.2 = 30 km

I dont understand how to approach this whole problem :/ its from s08 qp 4 of cie a level physics, help will be very very much appreciated.
Which chapter is this? :p
 
Messages
140
Reaction score
414
Points
73
QUESTION: An optic fibre has a signal attenuation of 0.20 dB km–1. The input signal to the optic fibre has a power of 26 mW. The receiver at the output of the fibre has a noise power of 6.5 µW. Calculate the maximum uninterrupted length of optic fibre given that the signal-to-noise ratio at the receiver must not be less than 30 dB

ANSWER SCHEME : if P is power at receiver, 30 = 10lg(P / (6.5 × 10–6) C1 P = 6.5 × 10–3 W
loss along cable = 10lg({26 × 10–3} / {6.5 × 10-3})
= 6.0 dB
length = 6.0 / 0.2 = 30 km

I dont understand how to approach this whole problem :/ its from s08 qp 4 of cie a level physics, help will be very very much appreciated.

Given that signal-to-noise ratio should be no less than 30, we equate it to 30 to get the minimum signal power required to satisfy the condition.

signal-to-noise ratio = 10lg(signal power/noise power)
10lg(P/6.5*10^-3) = 30
--> P = 6.5*10^-3
[This is the minimum signal power required to keep signal-to-noise ratio >/= 30]

We now have to calculate the attenuation with this signal power.

attenuation = 10lg(input power of signal/ output power)
attenuation = 10lg{(26*10^-3)/(6.5*10^-3)} = 6.0205999 dB

We are given the attenuation/unit length = 0.2 dBkm^-1

attenuation/unit length = total attenuation/ length of signal travelled

By substituting the minimum value of signal power, we get the maximum attenuation. This when substituted in attenuation/unit length formula, will give us the maximum length required to satisfy the condition of signal-to-noise ratio >/= 30 dB.

0.2 = 6.0205999 / max length
--> max. length = 30.103 = 30km

Hope you can understand that explanation.
 
Messages
11
Reaction score
5
Points
13
Given that signal-to-noise ratio should be no less than 30, we equate it to 30 to get the minimum signal power required to satisfy the condition.

signal-to-noise ratio = 10lg(signal power/noise power)
10lg(P/6.5*10^-3) = 30
--> P = 6.5*10^-3
[This is the minimum signal power required to keep signal-to-noise ratio >/= 30]

We now have to calculate the attenuation with this signal power.

attenuation = 10lg(input power of signal/ output power)
attenuation = 10lg{(26*10^-3)/(6.5*10^-3)} = 6.0205999 dB

We are given the attenuation/unit length = 0.2 dBkm^-1

attenuation/unit length = total attenuation/ length of signal travelled

By substituting the minimum value of signal power, we get the maximum attenuation. This when substituted in attenuation/unit length formula, will give us the maximum length required to satisfy the condition of signal-to-noise ratio >/= 30 dB.

0.2 = 6.0205999 / max length
--> max. length = 30.103 = 30km

Hope you can understand that explanation.
Given that signal-to-noise ratio should be no less than 30, we equate it to 30 to get the minimum signal power required to satisfy the condition.

signal-to-noise ratio = 10lg(signal power/noise power)
10lg(P/6.5*10^-3) = 30
--> P = 6.5*10^-3
[This is the minimum signal power required to keep signal-to-noise ratio >/= 30]

We now have to calculate the attenuation with this signal power.

attenuation = 10lg(input power of signal/ output power)
attenuation = 10lg{(26*10^-3)/(6.5*10^-3)} = 6.0205999 dB

We are given the attenuation/unit length = 0.2 dBkm^-1

attenuation/unit length = total attenuation/ length of signal travelled

By substituting the minimum value of signal power, we get the maximum attenuation. This when substituted in attenuation/unit length formula, will give us the maximum length required to satisfy the condition of signal-to-noise ratio >/= 30 dB.

0.2 = 6.0205999 / max length
--> max. length = 30.103 = 30km

Hope you can understand that explanation.
I cannot thank you enough for this explanation!! I finally understand it, god bless you :)
 
Messages
537
Reaction score
358
Points
73
Q4b= V=kQ/r .. Q is same at P and Q (6.4*10^-19 C) AND r is same therefore, V at P and Q is same ..so ∆V = 0...as work done = Q*∆V ,it is zer0
Q4c= for finding the work done we need to know the potential difference between the midpoint and point P
potential at any point is the sum of potentials for each charge
potential at mid point would be between A and B taken from the midpoint
using V= kQ/r and k = 4πε0
(potential of A from midpoint) k*6.4*10^-19/ 6*10^-6 + (potential of B from midpoint) k*6.4*10^-19 / 6*10^-6
potential at point P would be potential between A and B considered from point P
potential at A from P= V = k *6.4*10^-19 /3*10^-6 + (potential of B from P) = k*6.4*10^-19 /9*10^-6
POTENTIAL DIFFERENCE = would b the difference between both values = k*6.4 *10^-19 / 9*10^-6
Workdone = q∆V
q= charge on an electron = 1.6*10^-19C
so, 1.6*10^-19 * k*6.4*10^-19/ 9*10^-6
=1.0 *10^-22 J
 
Last edited:
Messages
2,206
Reaction score
2,824
Points
273
Q4b= V=kQ/r .. Q is same at P and Q (6.4*10^-19 C) AND r is same therefore, V at P and Q is same ..so ∆V = 0...as work done = Q*∆V ,it is zer0
Q4c= for finding the work done we need to know the potential difference between the midpoint and point P
potential at any point is the sum of potentials for each charge
potential at mid point would be between A and B taken from the midpoint
using V= kQ/r and k = 4πε0
(potential of A from midpoint) k*6.4*10^-19/ 6*10^-6 + (potential of B from midpoint) k*6.4*10^-19 / 6*10^-6
potential at point P would be potential between A and B considered from point P
potential at A from P= V = k *6.4*10^-19 /3*10^-6 + (potential of B from P) = k*6.4*10^-19 /9*10^-6
POTENTIAL DIFFERENCE = would b the difference between both values = k*6.4 *10^-19 / 9*10^-6
Workdone = q∆V
q= charge on an electron = 1.6*10^-19C
so, 1.6*10^-19 * k*6.4*10^-19/ 9*10^-6
=1.0 *10^-22 J
Thanks. :)
k = 1/4πε0 not 4πε0. ^_^
 
Messages
86
Reaction score
96
Points
18
Hey:)

Could anyone please help me out with the following questions it would be of immense help:-
upload_2016-2-20_14-23-56.png

upload_2016-2-20_14-24-18.png
I have no idea why both are 3A :3

The b) part of the following is my doubt
upload_2016-2-20_14-25-44.png
upload_2016-2-20_14-26-46.png
upload_2016-2-20_14-28-18.png

upload_2016-2-20_14-27-40.png
In the ms for b part where did the 25J come from?:p


In this my doubt is the 5 c ii part
upload_2016-2-20_14-30-18.pngupload_2016-2-20_14-30-40.png
upload_2016-2-20_14-31-24.png

So for averaging why are we multiplying the flux linkage by 2?:)

Please help, if possible.:D
 
Top