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ElectricalPower System
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In context of corona with smooth and polished conductors

A

There will be no current glow

B

Glow will be uniform along the length of the conductor

C

There will be minimum power loss

D

Hissing sound will be more intense

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalPower System
Option B

Glow will be uniform along the length of the conductor

Quick Summary:

Corona discharge is a phenomenon of ionization of air surrounding a conductor when the surface electric field intensity exceeds the dielectric strength of air. When a conductor is smooth and polished, the electric field intensity distribution is uniform along its entire surface, leading to a consistent and uniform glow.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Corona discharge is a phenomenon of ionization of air surrounding a conductor when the surface electric field intensity exceeds the dielectric strength of air. When a conductor is smooth and polished, the electric field intensity distribution is uniform along its entire surface, leading to a consistent and uniform glow.

ЁЯФв Key Formulas

Emax=VrlnтБб(Dr)E_{max} = \frac{V}{r \ln(\frac{D}{r})}EmaxтАЛ=rln(rDтАЛ)VтАЛ тАФ Electric field intensity at the surface of a cylindrical conductor

PlossтИЭ(f+25)rD(VтИТVc)2P_{loss} \propto (f+25)\sqrt{\frac{r}{D}}(V - V_c)^2PlossтАЛтИЭ(f+25)DrтАЛтАЛ(VтИТVcтАЛ)2 тАФ Peek's formula for corona power loss

тЪЩя╕П Working Principle

The surface electric field intensity EEE is inversely proportional to the radius of curvature rrr. For a smooth, uniform cylindrical conductor, E=VrlnтБб(D/r)E = \frac{V}{r \ln(D/r)}E=rln(D/r)VтАЛ is constant along the longitudinal axis. In contrast, surface irregularities (scratches or dust) create local regions of high field intensity, resulting in non-uniform or 'point-source' corona discharge.

ЁЯУМ Key Points
  • тЦ╕

    Corona occurs when surface potential gradient exceeds the breakdown strength of air (approx 30 kV/cm peak).

  • тЦ╕

    Surface smoothness directly dictates the uniformity of the ionization layer.

  • тЦ╕

    Polished conductors minimize the formation of local 'streamers' which cause audible noise and interference.

тЬЕ Advantages
  • тЦ╕

    Reduced electromagnetic interference (EMI) with communication lines

  • тЦ╕

    Lower power loss compared to weathered or rough conductors

тЭМ Disadvantages / Limitations
  • тЦ╕

    Higher initial cost due to manufacturing requirements

  • тЦ╕

    Surface can be damaged by environmental exposure over time

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    EHV (Extra High Voltage) transmission line design

  • тЦ╕

    High-precision laboratory high-voltage equipment

ЁЯУД Additional Information
  • тЦ╕

    For rough conductors, the irregularity factor mmm (where 0<m<10 < m < 10<m<1) is introduced, reducing the critical disruptive voltage VcV_cVcтАЛ.

  • тЦ╕

    Option A is incorrect because corona occurs if voltage exceeds the critical value. Option C is incorrect as smooth conductors minimize, but do not eliminate, loss. Option D is incorrect as rough surfaces produce more intense/erratic hissing.

ЁЯУК Diagram / Illustration
Uniform Surface PotentialE_surface = ConstantSmooth Conductor тЖТ Uniform Ionization
тЬЕ

B is correct тАФ A smooth and polished conductor ensures a uniform electric field distribution along its surface, resulting in an even, uniform corona glow.

Core Concepts Used
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Electric Field Intensity Dielectric Strength of Air Corona Discharge Phenomenon
ЁЯТб EXAM TIP

Always remember that Peek's formula for corona loss incorporates a surface irregularity factor mmm; for smooth polished wires, m=1m=1m=1 (the theoretical maximum), while for weathered wires, mmm drops significantly.

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