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A rod of length 2.4 m and radius 4.6 mm ...

A rod of length 2.4 m and radius 4.6 mm carries a negative charge of `4.2xx10^(-7)C` spread uniformly over it surface. The electric field near the mid-point of the rod, at a point on its surface is

A

`-8.6xx10^(5)NC^(-1)`

B

`8.6xx10^(4)NC^(-1)`

C

`-6.7xx10^(5)NC^(-1)`

D

`6.7xx10^(4)NC^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Here, `l=2.4m,r=4.6mm=4.6xx10^(-3)m`
`q=-4.2xx10^(-7)C`
Linear charge density, `lamda=q/l=(-4.2xx10^(-7))/2.4=-1.75xx10^(-7)Cm^(-1)`
Electric field,
`E=lamda/(2piepsilon_(0)r)=(-1.75xx10^(-7))/(2xx3.14xx8.854xx10^(-12)xx4.6xx10^(-3))`
`=-6.7xx10^(5)NC^(-1)`
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Knowledge Check

  • A plastic rod of length 2.2m and radius 3.6 mm carries a negative charge of 3.8xx10^(-7) C spread uniformly over its surface. What is the electric field near the mid-point of the rod, at a point on its surface?

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  • A 10 cm long rod carries a charge of +150 muC distributed uniformly along its length. Find the magnitude of the electric field at a point 10 cm from both the ends of the rod.

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