Two concentric imaginary spherical surfaces of radius R and…

Two concentric imaginary spherical surfaces of radius R and 2R respectively surround a positive point charge -Q located at the center of the surfaces. When compared to the electric flux Φ1 through the surface of radius 2R, the electric flux Φ2 through the surface of radius 2R is

Two large, parallel metal plates, each of area A = 2…

Two large, parallel metal plates, each of area A = 2 . 00   m 2 , are oriented horizontally and separated by a distance 3 d  with d = 2 . 00   c m , as shown in Fig. 2.1. If the charge on the upper plate is Q 1 = 0 . 0300   μ C  and the charge on the bottom plate is Q 2 = – 0 . 0700   μ C , what are the magnitudes and directions of the electric fields in the regions above the upper plate, between the two plates, and below the bottom plate? If a third identical plate carrying charge Q 3 = 0 . 0600   μ C  is inserted between the two plates, parallel to them and located a distance d  from the upper plate as shown in Fig. 2.2, (b) what are the magnitudes and directions of the electric fields in the regions above the upper plate, between the upper and middle plates, between the middle and bottom plates, and below the bottom plate? If an electron is released from the bottom plate with a speed v i = 2 . 00 × 10 6   m s moving upward, (c) what is its speed when it reaches the middle plate? If an electron is released from the upper plate with a speed  v i = 8 . 50 × 10 6   m s  moving downward, (d) what is its speed when it reaches the bottom plate? If a grounded conducting wire joins the upper and bottom plates, (e) what are the charges on the upper and bottom plates and (f) what potential difference appears between the middle plate and each of the other plates? (The charge of an electron is q e = – 1 . 60 × 10 – 19   C  and the mass of an electron is m e = 9 . 11 × 10 – 31   k g , ε 0 = 8 . 85 × 10 – 12   C 2 N · m 2 .) fig2_phys2426_f2024.jpg