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(a) At a distance of 0.200 cm from the center of a charged
Chapter 22, Problem 20E(choose chapter or problem)
(a) At a distance of 0.200 cm from the center of a charged conducting sphere with radius 0.100 cm, the electric field is 480 N/C. What is the electric field 0.600 cm from the center of the sphere? (b) At a distance of 0.200 cm from the axis of a very long charged conducting cylinder with radius 0.100 cm, the electric field is 480 N/C. What is the electric field 0.600 cm from the axis of the cylinder? (c) At a distance of 0.200 cm from a large uniform sheet of charge, the electric field is 480 N/C. What is the electric field 1.20 cm from the sheet?
Questions & Answers
QUESTION:
(a) At a distance of 0.200 cm from the center of a charged conducting sphere with radius 0.100 cm, the electric field is 480 N/C. What is the electric field 0.600 cm from the center of the sphere? (b) At a distance of 0.200 cm from the axis of a very long charged conducting cylinder with radius 0.100 cm, the electric field is 480 N/C. What is the electric field 0.600 cm from the axis of the cylinder? (c) At a distance of 0.200 cm from a large uniform sheet of charge, the electric field is 480 N/C. What is the electric field 1.20 cm from the sheet?
ANSWER:Solution 20E The magnitude of electric field at a distance r from the center of a conducting sphere with a charge q is given by E = q . 40r 2 (a) iven, electric field E = 480 N/C 2 Distance r = 0.200 cm = 0.200 × 10 m q 480 = 2 2 40×(0.200×10 ) 2 2 q = 480 × 4 × 00.200 × 10 ) C q = 480 × 4 × 3.14 × 8.85 × 10 12 × 0.04 × 10 4 C 16 q = 2134