A rod of length 2.4 m and radius 4.6 mm carries a negative charge of 4.2 × 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

Question

A rod of length 2.4 m and radius 4.6 mm carries a negative charge of 4.2 × 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 (A) - 8.6 × 105 N C-1 (B)  8.6 × 104 N C-1 (C) - 6.7 × 105 N C-1 (D)  6.7 × 104 N C-1

Tardigrade Admin · Accepted Answer

Here, 1=2.4 m , r =4.6 mm =4.6 × 10-3 m q =4.6 × 10-7 C Linear charge density, λ=( q /1)=(-4.2 × 10-7/2.4)=-1.75 × 10-7 Cm -1 Electric field, E =(λ/2 π ε0 r )=(-1.75 × 10-7/2 × 3.14 × 8.854 × 10-12 × 4.6 × 10-3)=-6.67 × 105 NC -1

Q. A rod of length $2.4 m$ and radius $4.6 mm$ carries a negative charge of $4.2 \times 1 0^{- 7} C$ spread uniformly over it surface. The electric field near the mid-point of the rod, at a point on its surface is

$- 8.6 \times 1 0^{5} N C^{- 1}$

$8.6 \times 1 0^{4} N C^{- 1}$

$- 6.7 \times 1 0^{5} N C^{- 1}$

$6.7 \times 1 0^{4} N C^{- 1}$

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

−8.6×105NC−1

8.6×104NC−1

−6.7×105NC−1

6.7×104NC−1

Here, 1=2.4m,r=4.6mm=4.6×10−3m q=4.6×10−7C Linear charge density, λ=1q​=2.4−4.2×10−7​=−1.75×10−7Cm−1 Electric field, E=2πε0​rλ​=2×3.14×8.854×10−12×4.6×10−3−1.75×10−7​=−6.67×105NC−1

Q. A rod of length $2.4 m$ and radius $4.6 mm$ carries a negative charge of $4.2 \times 1 0^{- 7} C$ spread uniformly over it surface. The electric field near the mid-point of the rod, at a point on its surface is

$- 8.6 \times 1 0^{5} N C^{- 1}$

$8.6 \times 1 0^{4} N C^{- 1}$

$- 6.7 \times 1 0^{5} N C^{- 1}$

$6.7 \times 1 0^{4} N C^{- 1}$