The current in each of the wires is I = 4.6 A .In the drawing d H = 0.17 mand d

Question

The current in each of the wires is I = 4.6 A .In the drawing dH = 0.17 mand dV = 0.36 m.

What is the algebraic expression for themagnitude B of the magnetic field created at apoint by the current in an infinitely long, straight wire? Expressyour answer in terms of the permeability of freespace 0, the current I,and the radial distance r of the point from thewire.

What is the magnitude Bnet ofthe net magnetic field that the two currents create atpoint A?

What is the magnitude Bnet of the netmagnetic field that the two currents create atpoint B?

Explanation / Answer

(a)    using RHR-2, we can see that at point A themagnetic field due to the horizontal current points    perpendicularly out of the plane of thepaper. Similarly, the magnetic field due to the vertical    current points perpendicularly into the plane ofthe paper. Point A is closer to the horizontal wire,    so that the effect of the horizontal currentdominates and the net field is directed out of the plane    of the paper (b)    using RHR-2, we can see that at point B themagnetic field due to the horizontal current points    perpendicularly into the plane of thepaper. Similarly, the magnetic field due to the verticalcurrent    oints perpendicularly out of the plane of thepaper. Point B is closer to the horizontal wire, so that    the effect of the horizontal current dominatesand the net field is directed into the plane of the    paper (c)    points A and B are the same distance of 0.20 mfrom the horizontal wire. They are also the    same distance of 0.40 m from the verticalwire. Therefore, the magnitude of the field contribution    from the horizontal current is the same at bothpoints, although the directions of the field    contributions are opposite. Likewise, themagnitude of the field contribution from the vertical    current is the same at both points, although thedirections of the field contributions are    opposite. At either point the magnitude ofthe net field is the magnitude of the difference between    the two contributions, and this is the same atpoints A and B    coming to the problem (a)    Bnet = (oI / 2 rA,H) - (o I / 2 rA,V)            =(o I / 2 ) [(1 / rA,H)- (1 / rA,V)]                =...... T    in the similar manner for part b also

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