Two long parallel wires placed side-by-side on a hon/ooul table canv identical s

Question

Two long parallel wires placed side-by-side on a hon/ooul table canv identical siit cunents in opposite directions. The wire on your cames current toward you. and the wire on your left cam current away from you From your point of tow. the magnetic field at the point exactly midway betören ihe two wires pointe upward B pointe downward pointe toward you. points away from you is zero. The figure shows four different sets of imulatcd wire that cross cach other at fight angle without actually making clcctrical contact. The magnitude of the currcnt it the me in all the wire, and the direction of current (low are as indtcaied For which (if any) configuration will the magnetic field at the center of the square formed by the wfctt be equal to zero? Two very long parallel wires are a distance d apan and cany equal cuncnts in opposite directions. The locations where the net magnetic field due to cunents is equal to zero are midway between the wires. a distance d'2 to the left of the left wire and also a distance d/7 to the nght of the nghl wire. a distance J to the left of the left wire and also a distance d to the njht of the nght wire. a distance d yJ2 to the left of the left wire and also a distance d 2 to the nght of the right wire The net field is nos zero anywhere The figure shows three Ion, parallel current-carrying wire. The magnitudes of the currents are equal and their directions are indicated m the figure. Which of the anows drawn near the wire carrying current I correctly indicates the direction of the magnetic force acting on that wire?

Explanation / Answer

(11)
Using Right hand rule for the direction,
Magnetic Field at the midpoint of the wire points Downward.

(12)
Again, Using Right hand rule for the direction,
Diagram C,
Due to Left wire, Into the Page.
Due to Right wire, Out of the Page.
Due to Bottom wire, Out of the Page.
Due to Upper wire, Into the Page.  

So they will cancel each other !!

For Diagram C, Magnetic Field at the center of the square will be zero.

(13)
Magnetic Field due to wire at distance x is given by,
B = (uo*I)/(2**x)
(uo*I)/(2**x) = / = (uo*I)/(2**(x +d))
I/x =/= I/(x +d)

As they carry equal currents in opposite direction,

Btw the wire Magnetic Field will add up.
To the Left of the wire, Magnetic Field due to Left wire > Magnetic Field due to Right wire
To the Right of the wire, Magnetic Field due to Right wire > Magnetic Field due to Left wire
so Net Magnetic Field will never be zero .

(14)
Magnetic Field due to wire at distance x is given by,
F = (uo*I1*I2) /(2**r)

Magnetic Force due to the nearby wire carrying Current downward will be greater > Magnetic Force due to the Farther wire carrying Current in upward direction.
So,

Net Direction of Force is to the Right. Option A is correct.

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