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Solutions to Problem set on Chapter 23

# Solutions to Problem set on Chapter 23 - Problems on...

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Problems on Chapter 23 1. A point charge q 1 = 4.00 nC is located on the x-axis at x = 2.00 m, and a second point charge q 2 = -6.00 nC is located on the y-axis at y = 1.00 m. What is the total electric flux due to these two point charges through a spherical gaussian surface centered at the origin and with radius (i) 0.500 m? (ii) 1.50 m? (iii) 2.50 m? 2. A 9.60 μC point charge i s at the center of a cube with sides of length 0.500 m. i. What is the electric flux through one of the six sides of the cube? ii. How would your answer to part (i) change if the sides of the cube were of length 0.250 M? Explain 3. An infinitely long uniform line of charge has linear charge per unit length of 𝜆𝜆 1 = + 4.80 x 10 6 C/m and lies along the x-axis. A second infinitely long uniform line of charge has linear charge per unit length of 𝜆𝜆 2 = 2.40 x 10 6 C/m and is parallel to the x-axis at y = 0.400 m. What is the net electric field (magnitude and direction) at a point on the y-axis at i. y = 0.200 m? ii. y = 0.600 m? 4. A conductor with an inner cavity carries a total charge of +5.00 nC. The charge within the cavity, insulated from the conductor, is - 6.00 nC. How much charge is on: i. The inner surface of the conductor? ii. The outer surface of the conductor? 5. A very long straight wire has charge per unit length λ = 1.50 x 10 -6 C/m. At what distance from the wire is the electric field magnitude equal to 2.50 N/C? 6. A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d . The inner shell has total charge

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