SATHEE: Electrostatics Question 698

Electrostatics Question 698

Question: A rod of length 2.4 m and radius 4.6 mm carries a negative charge of $4.2 \times 10^{- 7} C$ spread uniformly over it surface. The electric field near the mid-point of the rod, at a point on its surface is

Options:

A) $- 8.6 \times 10^{5} N C^{- 1}$

B) $8.6 \times 10^{4} N C^{- 1}$

C) $- 6.7 \times 10^{5} N C^{- 1}$

D) $6.7 \times 10^{4} N C^{- 1}$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Here, $ℓ = 2.4 m, r = 4.6 m m = 4.6 \times 10^{- 3} m$

$q = - 4.2 \times 10^{- 7} C$

Linear charge density, $λ = \frac{q}{ℓ}$

$\frac{- 4.2 \times 10^{- 7}}{2.4} = - 1.75 \times 10^{- 7} C m^{- 1}$

Electric field, $E = \frac{λ}{2 π ε_{0} r}$

$= \frac{- 1.75 \times 10^{- 7}}{2 \times 3.41 \times 8.854 \times 10^{- 12} 4.6 \times 10^{- 3}}$

$= - 6.7 \times 10^{5} N C^{- 1}$

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Electrostatics Question 698

Question: A rod of length 2.4 m and radius 4.6 mm carries a negative charge of 4.2×10−7C spread uniformly over it surface. The electric field near the mid-point of the rod, at a point on its surface is

Options:

Answer:

Solution:

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Question: A rod of length 2.4 m and radius 4.6 mm carries a negative charge of $4.2 \times 10^{- 7} C$ spread uniformly over it surface. The electric field near the mid-point of the rod, at a point on its surface is