Mutual inductance and inductance of a transformer primary
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1) How would you arrange two flat circular coils so that their mutual inductance was a) greatest b) least (without separating them by a great distance)?
2) If you are given a wire of such length that you can make only two loops out of it, how would you shape this wire to obtain a) the greatest; b) the least self-inductance?
3) What is the inductance L of the primary of a transformer whose input is 220 V at 60 Hz and the current drawn is 5.8A? Assume no current in the secondary.
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Solution Summary
The concept of maximum and minimum mutual inductance between coils has been explained with the help of detailed diagrams.
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Please see the attached file.
1). In a current carrying circular loop at any point on it, the field lines are concentric circles lying in a plane such that the tangent to the loop at that point is perpendicular to the plane.
Further, the direction (clockwise/anticlockwise) of the field lines is given by the right hand rule viz. curl the fingers of the right hand with the thumb stretched out in the direction of the current flow. The direction of curling of the fingers indicates the direction of the field lines.
A
Fig.1a : Arrangement of coils for minimum Fig. 2 : Arrangement of coils for
mutual inductance maximum inductance
Direction of current into the plane
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