For the given circuit, at steady state, the Ampere Maxwell Law can be modified to:

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For the given circuit, at steady state, the Ampere Maxwell Law can be modified to

We know that Ampere Maxwell Law is given by,

∮→B.→dl=μ0(ic+id)=μ0(ic+ϵ0dϕEdt)

For the given circuit, at a steady state, the capacitor act as an open switch, therefore conduction current is zero.

Also, the electric field between the plates of the capacitor is constant at a steady state, which means the electric flux is constant. Therefore, the displacement current is also zero.

So, the Ampere Maxwell Law will be ∮→B.→dl=0.

Also check:

CBSE CLASS XII Related Questions

  • 1.
    Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

      • \(\frac{1}{4\pi\epsilon_0} \frac{\sqrt{2}Q}{d^2} (\hat{i} - \hat{j})\)
      • \(\frac{1}{4\pi\epsilon_0} \frac{\sqrt{2}Q}{d^2} (-\hat{i} - \hat{j})\)
      • \(\frac{1}{4\pi\epsilon_0} \frac{Q}{d^2} (\hat{i} - \hat{j})\)
      • \(\frac{1}{4\pi\epsilon_0} \frac{Q}{d^2} (-\hat{i} - \hat{j})\)

    • 2.
      Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

        • \( (M_x - M_z)<M_y \)
        • \( (M_x - M_y)<M_z \)
        • \( M_x>(M_y + M_z) \)
        • \( M_x<(M_y + M_z) \)

      • 3.

        A magnet held vertically, with its north pole down, is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

          • the induced current will flow in the anticlockwise direction.
          • the induced current will flow in the clockwise direction.
          • no induced current will flow in the solenoid.
          • the magnet will fall with a constant velocity.

        • 4.

          (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.


            • 5.
              In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

                • \(10\ \text{N/C}\) along \(+x\)
                • \(10\ \text{N/C}\) along \(-x\)
                • \(50\ \text{N/C}\) along \(+x\)
                • \(50\ \text{N/C}\) along \(-x\)

              • 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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