A long, straight metal rod has a radius of 5. 00cm and a charge per unit length of 30. 0nC/m. Find the electric field (c) 100cm from the axis of the rod, where distances are measured perpendicular to the rod's axis



Answer :

The electric field at 100cm is 5.39 x 10² N/C.

We need to know about the electric field to solve this problem. The electric field is the area affected by electric force. The magnitude of electric field at a distance from long infinite length and constant charge per unit length is given by

E = λ / (2πε₀d)

From the question above, we know that

λ = 30 nC/m

λ = 30 x 10¯⁹ C/m

d = 100 cm = 1 m

By substituting the given parameter, we get

E = λ / (2πε₀d)

E = 30 x 10¯⁹ / (2π . 8.85 x 10¯¹² . 1)

E = 5.39 x 10² N/C

Hence, the electric field at 100cm is 5.39 x 10² N/C.

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