In a parallel plate capacitor, capacitance increases with decrease in distance between plates.

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The capacitance of a parallel plate capacitor is given by the formula C = εA/d, where C is the capacitance, ε is the permittivity of the medium between the plates, A is the area of each plate, and d is the distance between the plates.

As we can see, capacitance is directly proportional to the area of the plates and inversely proportional to the distance between them. This means that if we decrease the distance between the plates, the capacitance will increase. This is because decreasing the distance between the plates increases the electric field strength between them, and thus, more charge can be stored on the plates for the same potential difference.

This relationship between capacitance and distance is used in the design of capacitors. Capacitors with small plate separation are used in high-frequency applications, where a large capacitance is needed in a small space. Capacitors with larger plate separation are used in low-frequency applications, where a smaller capacitance is needed.

Thus, we can say that the capacitance of a parallel plate capacitor increases with a decrease in the distance between plates due to the relationship between capacitance, permittivity, area, and distance.

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CBSE CLASS XII Related Questions

  • 1.

    A parallel beam of monochromatic light falls normally on a single slit of width $a$ and a diffraction pattern is observed on a screen placed at distance $D$ from the slit. Explain:

    (I) the formation of maxima and minima in the diffraction pattern, and

    (II) why the maxima go on becoming weaker and weaker with its increasing number $n$.


      • 2.

        A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

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        • 3.

          (I) The real image of an object placed between $f$ and $2f$ from a convex lens can be seen on a screen placed at the image location. If the screen is removed, is the image still there? Explain.

          (II) Plane and convex mirrors produce virtual images of objects. Can they produce real images under some circumstances? Explain.


            • 4.

              A rectangular loop of size 5 cm $\times$ 8 cm is lying in the $x$-$y$ plane in a uniform magnetic field $\vec{B} = (2.0\ \text{T})\hat{k}$. The total magnetic flux linked with the loop is:

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              • 5.

                A ray of light MN is incident normally on the face corresponding with side AB of a prism with an isosceles right-angled triangular base ABC. Trace the path of the ray as it passes through the prism when the refractive index of the prism material is (i) $\sqrt{2}$, and (ii) $\sqrt{3}$.


                  • 6.
                    A wire of length \(L\) is bent round into (i) a square coil having \(N\) turns and (ii) a circular coil having \(N\) turns. The coil in both cases is free to turn about a vertical axis coinciding with the plane of the coil, in a uniform, horizontal magnetic field and carry the same currents. Find the ratio of the maximum value of the torque acting on the square coil to that on the circular coil.

                      CBSE CLASS XII Previous Year Papers

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