Six infinitely large and thin non-conducting sheets are fixed in configurations I and II. As shown in the figure, the sheets carry uniform surface charge densities which are indicated in terms of ₀ . The separation between any two consecutive sheets is 1 ~m . The various regions between the sheets are denoted as 1,2,3,4 and 5. If ₀=9 C / m ^2 , then which of the following statements is/are correct: (Take permittivity

Step-by-step solution

aligned ( E ₄ )_ I = & ₀ 2 ₀ [1-1+1-1-1+1]=0 ( ~V _ First )_ I & = - ₀ 2 ₀ [-1+2-3+4-5] d & = - ₀ 2 ₀ [-3] d = ₀ 3 ~d 2 ₀ aligned aligned & aligned (V_ Last )_I & = - ₀ 2 ₀ [1-2+3-4+5] & = ₀ 2 ₀ [-3 ~d ] aligned & aligned (V_ First -V_ Last )_I & = 3 ₀ ~d ₀ & = 3 9 10⁻⁶ 1 10⁻⁶ 9 10⁻¹² =3 volt aligned aligned aligned & aligned ( E ₃ )_ II = & ₀ 2 ₀ [ 1 2 -1+1+1-1+ 1 2 ]= ₀ 2 ₀ & = - ₀ 2 ₀ [-1+2-3+4- 5 2 ] d & = - ₀ 2 ₀ [2-2.5] d = ₀ ~d 4 ₀ aligned & aligned ( V _ Last )_ II & = - ₀ 2 ₀ [1-2+3-4+ 5 2 ] d & = - ₀ 2 ₀