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The surge impedance of a 400 km long overhead transmission line is 400 ohms. For a 200 km length of the same line, the surge impedance will be _________.
- a)200 ohms
- b)800 ohms
- c)400 ohms
- d)100 ohms
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The surge impedance of a 400 km long overhead transmission line is 400...
The surge impedance is always same in any length of the transmission line. It does not depend on the length of the transmission line
Here
L = transmission line inductance,
C = transmission line capacitance,
Zs = surge impedance
For a 200 km length of the same line, the surge impedance
= 400 ohms
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The surge impedance of a 400 km long overhead transmission line is 400...
The surge impedance of a transmission line is a measure of its ability to transmit electrical energy without reflecting any energy back to the source. It is represented by the symbol Z0 and is typically given in ohms. The surge impedance is determined by the physical characteristics of the transmission line, such as its length, capacitance, and inductance.
Given that the surge impedance of a 400 km long overhead transmission line is 400 ohms, we can calculate the surge impedance for a 200 km length of the same line.
To calculate the surge impedance for a 200 km length, we can use the formula:
Z0 = sqrt(L/C)
where L is the inductance per unit length and C is the capacitance per unit length.
Since the length of the line is halved, the inductance and capacitance per unit length will also be halved.
Let's assume that the inductance and capacitance per unit length for the 400 km line are L1 and C1, respectively. Therefore, for the 200 km line, the inductance and capacitance per unit length would be L2 = L1/2 and C2 = C1/2.
Substituting these values into the formula, we get:
Z0 = sqrt(L2/C2)
= sqrt((L1/2)/(C1/2))
= sqrt(L1/C1)
= 400 ohms (given)
Therefore, the surge impedance for the 200 km length of the transmission line is also 400 ohms, which corresponds to option C.
Given that the surge impedance of a 400 km long overhead transmission line is 400 ohms, we can calculate the surge impedance for a 200 km length of the same line.
To calculate the surge impedance for a 200 km length, we can use the formula:
Z0 = sqrt(L/C)
where L is the inductance per unit length and C is the capacitance per unit length.
Since the length of the line is halved, the inductance and capacitance per unit length will also be halved.
Let's assume that the inductance and capacitance per unit length for the 400 km line are L1 and C1, respectively. Therefore, for the 200 km line, the inductance and capacitance per unit length would be L2 = L1/2 and C2 = C1/2.
Substituting these values into the formula, we get:
Z0 = sqrt(L2/C2)
= sqrt((L1/2)/(C1/2))
= sqrt(L1/C1)
= 400 ohms (given)
Therefore, the surge impedance for the 200 km length of the transmission line is also 400 ohms, which corresponds to option C.
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The surge impedance of a 400 km long overhead transmission line is 400 ohms. For a 200 km length of the same line, the surge impedance will be _________.a)200 ohmsb)800 ohmsc)400 ohmsd)100 ohmsCorrect answer is option 'C'. Can you explain this answer?
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