A current is passing through a wire. (a) What is the mathematical expression to

Question

A current is passing through a wire. (a) What is the mathematical expression to find the magnitude of the magnetic field B at point A? (b) How do you determine the direction of the field at A? (c) What is the direction of magnetic field at A? What happens to the magnitude (increase, decrease, remains the same) and direction of the magnetic field at X if you place more than one wire (for example, 6 wires) very close to each other in place of a single wire as shown in the figure above? Each wire carries the same current I. Point X remains at the distance r from the wires.

Explanation / Answer

(a)Magnetic field at point X = u0I/2X

(b) The direction of the magnetic field at X due to current carrying conductor can be determined by using Ampere’s right hand law. Current carrying conductor is held in right hand with thumb pointing in the direction of current, then the direction of other fingers give the direction of magnetic field.

(c) It will be perpendicular and appears to move into the paper

(d) Magnitude will be increased by n times

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