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Capacitor question

2021 · 26 Aug · Shift 2 · Q55
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  5. /2021 · 26 Aug · Shift 2 · Q55

Capacitor question

2021 · 26 Aug · Shift 2 · Q55

JEE MainPhysicsCapacitorMCQ+4 / −1
A parallel plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric constant K1 and K2 of same area A/2 and thickness d/2 are inserted in the space between the plates. The capacitance of the capacitor will be given by: JEE Main 2021 (Online) 26th August Evening Shift Physics - Capacitor Question 80 English
  1. A
    ε0Ad(12+K1K2K1+K2){{{\varepsilon _0}A} \over d}\left( {{1 \over 2} + {{{K_1}{K_2}} \over {{K_1} + {K_2}}}} \right)dε0​A​(21​+K1​+K2​K1​K2​​)
  2. B
    ε0Ad(12+K1K22(K1+K2)){{{\varepsilon _0}A} \over d}\left( {{1 \over 2} + {{{K_1}{K_2}} \over {2({K_1} + {K_2})}}} \right)dε0​A​(21​+2(K1​+K2​)K1​K2​​)
  3. C
    ε0Ad(12+K1+K2K1K2){{{\varepsilon _0}A} \over d}\left( {{1 \over 2} + {{{K_1} + {K_2}} \over {{K_1}{K_2}}}} \right)dε0​A​(21​+K1​K2​K1​+K2​​)
  4. D
    ε0Ad(12+2(K1+K2)K1K2){{{\varepsilon _0}A} \over d}\left( {{1 \over 2} + {{2({K_1} + {K_2})} \over {{K_1}{K_2}}}} \right)dε0​A​(21​+K1​K2​2(K1​+K2​)​)
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