Q77 / 90 · JEE Main 2023 (10 Apr Shift 2) · Physics

The distance between two plates of a capacitor is d and its capacitance is C1, when air is the medium between the plates. If a metal sheet of thickness 2d3 and of the same area as plate is introduced between the plates, the capacitance of the capacitor becomes C2 . The ratio C2C1 is

  • Correct answer
    A
    3 : 1 
  • B
    2 : 1 
  • C
    4 : 1 
  • D
    1 : 1 

Solution

Figure

The formula of capacitance is C1=ε0Ad

Figure

The dielectric constant of metal sheet is Kmetal=∞

The new value of capacitance is 

C2=ε0Ad-t+tKmetal=ε0Ad-2d3+0=3C1

Clearly, the ratio,

C2C1=3C1C1=3:1

 

Hence, the correct answer is option: 'A'.

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