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Lesson_2.4_Homework - Lesson 2.4 Homework 1 A uniform line...

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Lesson 2.4 Homework 1. A uniform line charge of linear density λ lies on the x axis between x = 0 and x = L. Its total charge is Q = 8 nC. The electric field at x = 2L is 600 N.C -1 . Find the field at x = 3L. 2. The field just outside a 3.5-cm radius metal ball is 2.75 × 10 2 N.C -1 and points towards the ball. What charge resides on the ball? 3. An infinitely long wire carries a uniformly distributed charge of –2.8 μ C.m -1 . What are the magnitude and direction of the electric field at points (i) 5.0 m and (ii) 2.0 m from the wire? 4. A solid metal sphere of radius 3.0 m carries a total charge of –3.5 μ C. What is the magnitude of the electric field at the following points from the center of the sphere? (i) 2.9 m, (ii) 3.1 m, (iii) 6.0 m. What would these values be if the sphere were a thin shell of the same radius? 5. A non-conducting sphere of radius 15 cm carries a total charge of –3.5 μ C uniformly distributed throughout its volume. Calculate the electric field at a distance (i) 10 cm, (ii) 20 cm, (iii) 20 m from the center of the sphere. Graph the electric field E as a function of the distance r
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