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In current carrying conductors, if the radius of the conductor is lessthan the critical radius, then addition of electrical insulation is desirable, as  
  • a)
    It reduces the heat loss from the conductor and thereby enables theconductor to carry a higher current.
  • b)
    It increases the heat loss from the conductor and thereby enables theconductor to carry a higher current.
  • c)
    It increases the thermal resistance of the insulation and thereby enables theconductor to carry a higher current.
  • d)
    It reduces the thermal resistance of the insulation and thereby enables theconductor to carry a higher current.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In current carrying conductors, if the radius of the conductor is less...
Ans. (b)
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In current carrying conductors, if the radius of the conductor is less...
Explanation:

Introduction:
In current carrying conductors, heat is generated due to the flow of current. This heat can cause temperature rise in the conductor, which can lead to various issues such as reduced conductivity, insulation breakdown, and even fire hazards. Therefore, it is important to manage the heat generated in the conductor to ensure safe and efficient operation.

Reasoning:
When the radius of the conductor is less than the critical radius, the addition of electrical insulation is desirable. This is because the insulation increases the heat loss from the conductor, thereby enabling the conductor to carry a higher current. Let's understand this in detail:

Heat Generation:
When current flows through a conductor, heat is generated due to the resistance offered by the conductor. The heat generated is given by the formula:
H = I^2 * R * t
where H is the heat generated, I is the current flowing through the conductor, R is the resistance of the conductor, and t is the time.

Critical Radius:
The critical radius is the radius at which the heat generated in the conductor is equal to the heat dissipated to the surroundings. Below the critical radius, the heat generated is greater than the heat dissipated, leading to temperature rise in the conductor.

Effect of Insulation:
When electrical insulation is added to the conductor, it increases the heat loss from the conductor to the surroundings. This is because the insulation acts as a barrier between the conductor and the surroundings, preventing heat from being trapped within the conductor. As a result, the conductor can carry a higher current without experiencing excessive temperature rise.

Options:
Now let's analyze the given options:
a) It reduces the heat loss from the conductor and thereby enables the conductor to carry a higher current. - This option is incorrect as insulation actually increases the heat loss.
b) It increases the heat loss from the conductor and thereby enables the conductor to carry a higher current. - This option is correct as explained above.
c) It increases the thermal resistance of the insulation and thereby enables the conductor to carry a higher current. - This option is incorrect as increasing the thermal resistance of insulation would reduce the heat loss, not increase it.
d) It reduces the thermal resistance of the insulation and thereby enables the conductor to carry a higher current. - This option is incorrect as reducing the thermal resistance of insulation would increase the heat loss, not reduce it.

Therefore, option 'B' is the correct answer.

Conclusion:
When the radius of the current carrying conductor is less than the critical radius, the addition of electrical insulation is desirable as it increases the heat loss from the conductor, enabling it to carry a higher current without experiencing excessive temperature rise.
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In current carrying conductors, if the radius of the conductor is lessthan the critical radius, then addition of electrical insulation is desirable, asa)It reduces the heat loss from the conductor and thereby enables theconductor to carry a higher current.b)It increases the heat loss from the conductor and thereby enables theconductor to carry a higher current.c)It increases the thermal resistance of the insulation and thereby enables theconductor to carry a higher current.d)It reduces the thermal resistance of the insulation and thereby enables theconductor to carry a higher current.Correct answer is option 'B'. Can you explain this answer?
Question Description
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