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Electric circuits miscellaneous

  1. A parallel plate capacitor is partially filled with glass of dielectric constant 4.0 as shown below. The dielectric strengths of air and glass are 30 kV/cm and 300 kV/cm, respectively. The maximum voltage (in kilovolts), which can be applied across the capacitor without any breakdown, is _______.
    1. 18.75
    2. 1.75
    3. 1875
    4. 1.825
Correct Option: A


C1 =
A∈0
d

C2 =
4A∈0
d

Ceq =
C1 C2
=
4A∈0
C1 + C25d

Dn = ρs =
Q
=
CV
=
Ceqv
AAA

Dn =
4A∈0
V
5dA

Dn =
4 ∈0
V
5dA

E1 =
Dn
=
4
V
05d

30 × 105 =
4V
4d

⇒ V =
30 × 5 × 5 × 10-3 × 105
= 18.75 kV
4



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