A coil is placed next to a straight wire. The current in the wire is as shown in the diagram below. The coil and wire lie in the same plane with the +z axis perpendicular to the plane of the coil. (a) As the current in the wire increases, find the direction of the induced current in the coil by answering the following questions. (i) What is the direction of the magnetic field due to the current-carrying wire in the coil? (ii) As the current in the wire increases, how will the magnetic flux in the coil change? (iii) What is the direction of the induced magnetic flux in the coil? +x−x    +y−y+z−z As per Lenz's law, in what direction will the induced flux and therefore the induced field, act in the region of the coil? (iv) What is the direction of the induced current in the coil?   (b) Now suppose the current in the wire decreases. What is the direction of the induced current in the coil?   (c) Now suppose the current in the wire suddenly changes direction. What is the direction of the induced current in the coil?

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