Question

The figure shows a stationary conducting loop adjacent to a horizontal current-carrying wire. For which of the following conditions will a counter-clockwise induced current circulate in the stationary loop? Stationary conducting loop Counter- clockwise induced current | Current-carrying wire The current in the horizontal wire flows to the right and its value is increasing The current in the horizontal wire flows to the right and its value is constant. The current in the horizontal wire flows to the left and its value is decreasing. The current in the horizontal wire flows to the left and its value is increasing. The current in the horizontal wire flows to the left and its value is constant.

Answer 1

ż A current carrying loop behaves as a magnetic N dipole. With respect to us the cworent is flowing in counter clockwise direction. So, above the plane of the paper there is the north pole of the equivalant magnetic dipole and below the paper there south pole. So, the magnetic field due to the induced current in the loop is upward from the plane of the paper. is the Now according to Lenz's law, this induced magnetic field must oppose change in magnetic field created by the current in the horizontal wire. So, the magnetic field due to the current in the horizontal wire must be increasing in downward direction from the plane of the paper. from Biot - Savart's law we know that the dinection of magnetic field is in the direction of the rector de x R (di de is in the direction of Current B Toe te ell I

So, to set up a downward magnetic field Cworent should flow to the left in the homizontal wire And its value should inenease , so that the inward field will also increase and the outward induced field oppose its increamert So, the answer is → The current in the horizontal wire flows to the left and its value is value is increasing
By Lenz's law, the induced current will be set up in such a direction that the magnetic field generated by it will oppose the change in original magnetic field.