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If for a unit distance, a cable has a unit inductance and unit impedance, what will be the magnitude of surge impedance?
- a)1 ohm
- b)Infinite
- c)√2 ohm
- d)Zero
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If for a unit distance, a cable has a unit inductance and unit impedan...
Explanation:
The surge impedance of a cable is given by the formula:
\[ Z_s = \sqrt{L/C} \]
Where:
- \( Z_s \) = Surge Impedance
- \( L \) = Unit Inductance
- \( C \) = Unit Capacitance
Given that the unit inductance and unit impedance of the cable are both equal to 1, the surge impedance can be calculated as:
\[ Z_s = \sqrt{1/1} = 1 \, ohm \]
Therefore, the magnitude of the surge impedance for this cable is 1 ohm.
The surge impedance of a cable is given by the formula:
\[ Z_s = \sqrt{L/C} \]
Where:
- \( Z_s \) = Surge Impedance
- \( L \) = Unit Inductance
- \( C \) = Unit Capacitance
Given that the unit inductance and unit impedance of the cable are both equal to 1, the surge impedance can be calculated as:
\[ Z_s = \sqrt{1/1} = 1 \, ohm \]
Therefore, the magnitude of the surge impedance for this cable is 1 ohm.
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Community Answer
If for a unit distance, a cable has a unit inductance and unit impedan...
Concept:
Surge impedance loading: It is defined as the power load in which the total reactive power of the lines becomes zero.
The reactive power generated by the shunt capacitance is consumed by the series inductance of the line.
Surge impedance is used in the prediction of maximum loading capacity of transmission lines and is given by,
Calculation:
l = 1, XL = 1, Z = 1
Where,
l = length of line
XL = Inductance of line per unit length
XC = Capacitance of line per unit length
Z = Impedance of line per unit length
Zs = Surge impedance
Therefore, magnitude of surge impedance = 0 Ω
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If for a unit distance, a cable has a unit inductance and unit impedance, what will be the magnitude of surge impedance?a)1 ohmb)Infinitec)√2 ohmd)ZeroCorrect answer is option 'D'. Can you explain this answer?
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