Exams › GATE › Technical

C0 is the capacitance of a parallel plate capacitor with air as dielectric (as in figure (a)). If, half of the entire gap as shown in figure (b), is filled with a dielectric of permittivity εr, the expression for the modified capacitance is

1. C0/2 (1 + εr)
2. (C0 + εr)
3. C0/2 εr
4. C0(1 + εr)

Correct answer: C0/2 (1 + εr)

Solution

The correct option is derived from the fact that filling half of the capacitor's gap with a dielectric increases the capacitance by a factor related to the dielectric's permittivity, while the other half remains air. The total capacitance can be calculated as the sum of the capacitance contributions from both sections, leading to the expression C0/2 (1 + εr).

Related GATE Technical questions

• The undesirable property of an electrical insulating material is
• Q.17 In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of
• Q.18 The root locus of a unity feedback system is shown in the figure
• Q.19 Power consumed by a balanced 3-phase, 3-wire load is measured by the two wattmeter method. The first wattmeter reads twice that of the second. Then the load impedance angle in radians is
• Q.20 In an oscilloscope screen, linear sweep is applied at the
• A cascade of three identical modulo-5 counters has an overall modulus of

⚔️ Practice GATE Technical free + battle 1v1 →