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My% A coll is placed next to a straight wire. The current in the wire is as shown in the diagram plane of the coil. The coil and wire lie in the same plane with the +z axis perpendicular to the coil wire (a) As the current in the wire increases, find the direction of the induced current in the coil by answering the folliowing questions (0) What is the direction of the magnetic field due to the current carrying wire in the center of the col (i) As the current in the wire increases, how will the magnetic flux in the col change? (ili) What is the direction of the induced magnetic flux in the col (iv) What is the direction of the induced current in the col (b) Now suppose the current in the wire decreases, what is the direction of the induced current in the coil?
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Answer #1

1) i) Using right hand thumb rule we get, Magnetic field direction is -z direction ii)Equation relating Magnetic flux and current is given by, and Amperes law says, B Comparing these equation we can say, As the current in the wire increases magnetic flux also increases 2Tur iii) Lenzs law states that the current induced in a circuit due to a change or a motion in a magnetic field is so directed as to oppose the change in flux and to exert a mechanical force opposing the motion So answer is +z direction iv) Again using right hand thumb rule, direction is counter clock wise v)As the current reduces induced magnetic field will be, clock wise vi) current changes direction suddenly then Magnetic field due to this will also change its direction. But since the current through the wire is decreasing thus this field at the centre of loop is also decreasing This both effects at the same time. Now using lenzs law we get, the direction is counter clockwise

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