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

1.
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:

3.
Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

4.
Assertion (A) : All atoms have a net magnetic moment. Reason (R) : A current loop does not always behave as a magnetic dipole.

5.
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.

6.
What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

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What is the formula for capacitance of parallel plate capacitor?

Solved Example

CBSE CLASS XII Related Questions

1.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:

3. Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

4.Assertion (A) : All atoms have a net magnetic moment. Reason (R) : A current loop does not always behave as a magnetic dipole.

5. 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.

6.What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
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:

3.
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4.
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