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Question

Prove that 1debye=10-18esu cm=3.335×10-30Cm


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Solution

Step 1:Given,

  1. Static coulomb is the physical unit of electric charge used in the esu - CGS unit.
  2. 1staticcoulomb/esu=3.335×10-10C.
  3. Dipole moment of a system is defined as the product of charge and distance of separation between the charges.
  4. Debye is defined as the dipole moment resulting from a dipole having a charge of 10-10 esu separated by a distance of1angstrom=10-8cm.

Step 2 Formula used,

Dipolemoment=charge×distanceofseperation

Step 3: Solution

  1. Calculation of 1 debye in esu cm
    Dipolemomentindebye=10-10esu×1angstrom1debye=10-10esu×10-8cm=10-18esucm
  2. Calculation of 1 debye in C m.

1debye=10-18esucm1esu=3.335×10-10C1cm=10-2mSo,1debye=10-18×3.335×10-10C×10-2m=3.335×10-30Cm

Hence , 1 debye = 10-18 esu cm = 3.335× 10-30 C m is proved.


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