A parallel plate capacitor with square plates is filled with four dielectrics of dielectric constants K 1 , K 2 , K 3 , K 4 arranged as shown in the figure. The effective dielectric constant K will be:

K = K 1 K 2 K 1 + K 2 + K 3 K 4 K 3 + K 4

K = K 1 + K 2 K 3 + K 4 2 K 1 + K 2 + K 3 + K 4

K = ( K 1 + K 4 ) ( K 2 + K 3 ) 2 K 1 + K 2 + K 3 + K 4

K = K 1 + K 2 ( K 3 + K 4 ) K 1 + K 2 + K 3 + K 4

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The equivalent capacitance for the network shown in the figure is

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Important Questions on Electrostatic Potential and Capacitance

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Physics Crash Course (Based on Revised Syllabus - 2023)>Chapter 2 - Electrostatic Potential and Capacitance>Exercise>Q 39

There are three capacitors each of capacitance

4 μ F

are to be connected in such a way that the effective capacitance is

6 μ F

. This can be done by

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Physics Crash Course (Based on Revised Syllabus - 2023)>Chapter 2 - Electrostatic Potential and Capacitance>Exercise>Q 40

Three capacitors of capacitances

1 μF, 2 μF

and

3 μF

are connected in series and a potential difference of

11 V

is applied across the combination. Then, the potential difference across the plates of

1 μF

capacitor is

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Physics Crash Course (Based on Revised Syllabus - 2023)>Chapter 2 - Electrostatic Potential and Capacitance>Exercise>Q 41

Three capacitors each of capacitance

9 pF

are connected in series. What is the potential difference across each capacitor if the combination is connected to a

120 V

supply?

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Physics Crash Course (Based on Revised Syllabus - 2023)>Chapter 2 - Electrostatic Potential and Capacitance>Exercise>Q 42

Three capacitors of capacitances

2 pF, 3 pF and 4 pF

are connected in parallel. What is the total capacitance of the combination?

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Physics Crash Course (Based on Revised Syllabus - 2023)>Chapter 2 - Electrostatic Potential and Capacitance>Exercise>Q 43

Three capacitors of capacitances

2 pF, 3 pF and 4 pF

are connected in parallel. Determine the charge on each capacitor if the combination is connected to a

100 V

supply.

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Physics Crash Course (Based on Revised Syllabus - 2023)>Chapter 2 - Electrostatic Potential and Capacitance>Exercise>Q 44

A cylindrical capacitor has two coaxial cylinders of length

15 c m

and radii

1.5 c m

and

1.4 c m .

The outer cylinder is earthed, and the inner cylinder is given a charge of

3.5 μ C .

Determine the capacitance of the system and the potential of the inner cylinder. Neglect end effects (i.e., bending of field lines at the ends).

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Physics Crash Course (Based on Revised Syllabus - 2023)>Chapter 2 - Electrostatic Potential and Capacitance>Exercise>Q 45

A spherical conductor of radius $12 cm$ has a charge of $1.6 \times 10^{- 7} C$ distributed uniformly on its surface. What is the electric field at a point $18 cm$ from the center of the sphere? Take, $\frac{1}{4 π ε_{0}} = 9 \times 10^{9} N m^{2} C^{- 2}$

The equivalent capacitance for the network shown in the figure is

Important Questions on Electrostatic Potential and Capacitance

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