Correct Answer - Option 1 : Cm
-1
The correct answer is option 1) i.e. Cm-1
CONCEPT:
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Continuous charge distribution system: It is a system describing a charge that is uniformly distributed over a conductor. There are three types of charge distribution:
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Linear charge distribution: Charge varies along the length of the conductor.
It is given by:
\(\lambda = \frac{dq}{dl}\)
Where dq is the charge and dl is the length of the conductor.
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Surface charge distribution: Charge varies along the surface of the conductor.
It is given by:
\(\sigma = \frac{dq}{ds}\)
Where dq is the charge and ds is the surface area of the conductor.
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Volume charge distribution: Charge varies along the volume of the conductor.
It is given by:
\(\rho = \frac{dq}{dv}\)
Where dq is the charge and dv is the volume of the conductor.
EXPLANATION:
The linear charge distribution is given by:
\(\lambda = \frac{dq}{dl}\).
- The units of charge q and length l are C and m respectively.
- Hence, the unit of linear charge distribution is Cm-1