GATE EE 2015 Set 1 — Question 46
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Electromagnetic Fields → Electrostatics → Capacitance
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Question
A parallel plate capacitor is partially filled with glass of dielectric constant as shown below. The dielectric strengths of air and glass are and , respectively. The maximum voltage (in kilovolts), which can be applied across the capacitor without any breakdown, is ______.
Correct answer
17 to 20
Solution
Let the thickness of the air layer be and the glass layer be . The dielectric constants are (air) and (glass). From the boundary condition for normal electric flux density, .We check for breakdown in both materials:
1.If air breaks down first: . Then . Since (glass breakdown strength), the glass is safe. The voltage is .
2.If glass breaks down first: . Then . Since , the air would have already broken down.
Thus, the maximum voltage that can be applied is .Continue learning with Success Tracker
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