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.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

3.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

4.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

5.
Write any two features of nuclear forces.

6.
Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

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What is the formula for capacitance of parallel plate capacitor?

Solved Example

CBSE CLASS XII Related Questions

2.Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

3. If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

4.Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

5. Write any two features of nuclear forces.

6.Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

3.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

4.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

5.
Write any two features of nuclear forces.

6.
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