What is the formula for capacitance of parallel plate capacitor?

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The formula for the capacitance of a parallel plate capacitor is C = ε0A/d

C = $\epsilon_0A \over d$

where C is the capacitance in farads (F)
ε₀ is the permittivity of free space (a constant equal to 8.85 x 10^-12 F/m)
A is the area of overlap between the two plates in square meters (m²)
d is the distance between the plates in meters (m)

Solved Example

Suppose we have a parallel plate capacitor consisting of two metal plates with an area of 0.1 m² each, and the distance between the plates is 0.001 m. We want to find the capacitance of this capacitor.

Solution: Using the formula for capacitance of a parallel plate capacitor, we have:

C = ε0A/d

where ε0 = 8.85 x 10^-12 F/m,
A = 0.1 m²,
d = 0.001 m.

Substituting these values into the formula, we get:

C = (8.85 x 10^-12 F/m) x 0.1 m²/0.001 m

Simplifying this expression, we get:

C = 8.85 x 10^-10 F

Therefore, the capacitance of the parallel plate capacitor is 8.85 x 10^-10 F.

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What is the formula for capacitance of parallel plate capacitor?

Solved Example

CBSE CLASS XII Related Questions

2.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

3.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

5.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

6.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

Similar Physics Concepts

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What is the formula for capacitance of parallel plate capacitor?

Solved Example

CBSE CLASS XII Related Questions

2.With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

3.Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

5.Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

6. The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.

3.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

5.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

6.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.