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Capacitor question

2016 · Q120
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Capacitor question

2016 · Q120

NEETPhysicsCapacitorMCQ+4 / −1
A parallel-plate capacitor of area a, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants k1, k2, k3 and k4 as shown in the figure. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by
NEET 2016 Phase 2 Physics - Capacitor Question 35 English
  1. A
    k = k1 + k2 + k3 + 3k4
  2. B
    k = 23{2 \over 3}32​ (k1 + k2 + k3) + 2k4
  3. C
    2k{2 \over k}k2​ = 3k1+k2+k3+1k4{3 \over {{k_1} + {k_2} + {k_3}}} + {1 \over {{k_4}}}k1​+k2​+k3​3​+k4​1​
  4. D
    1k{1 \over k}k1​ = 1k1+1k2+1k3+32k4{1 \over {{k_1}}} + {1 \over {{k_2}}} + {1 \over {{k_3}}} + {3 \over {2{k_4}}}k1​1​+k2​1​+k3​1​+2k4​3​
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