A long cylindrical rod with length 8 m and radius 4.1 cm is uniformly charged with total charge 7.8 μC.  Then, a hole is carved out of the center of the rod in the shape of a sphere of radius 1.8 cm.  What is the electric field at a distance 6.3 cm away perpendicular from the center of the object?

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A long cylindrical rod with length 8 m and radius 4.1 cm is uniformly charged with total charge 7.8 μC.  Then, a hole is carved out of the center of the rod in the shape of a sphere of radius 1.8 cm.  What is the electric field at a distance 6.3 cm away perpendicular from the center of the object?

 

Give your answer in units of NμCNμC (or 1×106NC1×106NC).

Hint: What would you "add" to a solid object to model a hole?

**Problem Statement:**

A long cylindrical rod with a length of 8 m and a radius of 4.1 cm is uniformly charged with a total charge of 7.8 μC. Then, a hole is carved out of the center of the rod in the shape of a sphere with a radius of 1.8 cm. What is the electric field at a distance of 6.3 cm away, perpendicular from the center of the object?

**Instructions:**

- Give your answer in units of \( \frac{N}{\mu C} \) (or \( 1 \times 10^6 \, \frac{N}{C} \)).
- Hint: What would you "add" to a solid object to model a hole?
Transcribed Image Text:**Problem Statement:** A long cylindrical rod with a length of 8 m and a radius of 4.1 cm is uniformly charged with a total charge of 7.8 μC. Then, a hole is carved out of the center of the rod in the shape of a sphere with a radius of 1.8 cm. What is the electric field at a distance of 6.3 cm away, perpendicular from the center of the object? **Instructions:** - Give your answer in units of \( \frac{N}{\mu C} \) (or \( 1 \times 10^6 \, \frac{N}{C} \)). - Hint: What would you "add" to a solid object to model a hole?
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