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A high tension wire is at a high potenti...

A high tension wire is at a high potential with respect to a wire which is well grounded called Earth wire. You must have seen such wires stretched parallel to roads. There is a high tension wire between two points A and B. 1 km apart. The distance between HT wire and earth wire is 1 m. The resisatnce of the HT (and also the earth wire) is `1 Omega//m`. This wire is at a potential of 11 KV at point A w.r.t. to earth wire. and its is carrying 1 A current which returns back to the generator by through the earth wire. This wire is quite a thick wire. There is a sign board at a pole over which this wire is stretched reading DANGER, 11 KV. You might thick what would happen if one touched this wire. Will one feel a shock or not. Well ! it depends on whether the current through our body exceeds a particular valuem which we may call CRITICAL CURRENT.
Why is H.T wire thick wire. Select the most appropriate option

A

so that more current may flow

B

so that resistance may be less thereby reducing power loss in the transmission line

C

so that it may bear high tension & therefore sag less

D

so that when in further population increases, the existing wire may serve the purpose.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to understand why high tension (HT) wires are made thick. The question provides us with a scenario involving a high tension wire and an earth wire, and we need to select the most appropriate reason for the thickness of the HT wire. ### Step-by-Step Solution: 1. **Understanding Resistance**: The resistance \( R \) of a wire can be calculated using the formula: \[ R = \frac{\rho L}{A} \] where \( \rho \) is the resistivity of the material, \( L \) is the length of the wire, and \( A \) is the cross-sectional area. 2. **Effect of Cross-Sectional Area**: If we increase the cross-sectional area \( A \) of the wire, the resistance \( R \) decreases. This is crucial because lower resistance means less heat is generated when current flows through the wire. 3. **Power Loss in Transmission**: The power loss \( P \) due to resistance in the wire can be expressed as: \[ P = I^2 R \] where \( I \) is the current flowing through the wire. If the resistance \( R \) is reduced (by increasing the area), the power loss in the transmission line is also reduced. 4. **Heat Generation**: The heat generated in the wire can be calculated using: \[ H = I^2 R T \] where \( T \) is the time for which the current flows. A lower resistance results in lower heat generation for the same current and time. 5. **Conclusion**: The primary reason for using thick wires in high tension applications is to reduce resistance, thereby minimizing power loss and heat generation. This is essential for efficient transmission of electricity over long distances. ### Answer: The most appropriate option is: **"So that resistance may be less thereby reducing power loss in the transmission line."**
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