Magnetic field B at a distance r0 from a straight wire carrying current I is giv

Question

Magnetic field B at a distance r0 from a straight wire carrying current I is given by B = mi_0I/(2 pi r_0). For a fixed current of 3.00 A in a wire, magnetic field sensed by a Hall probe will__________if the distance r_0 is changed from 0.6 cm to 1.2 cm. (double, triple, reduce to a half, reduce by 0.6 mT) If the current I is reduced from 3.00 A to 1.5 A in above example for a fixed r_0 of 2.0 cm, magnetic field sensed by a Hall probe will_____________(double, triple, reduce to a half, reduce by 1.5 mT) If B is plotted against several values of ro for a fixed current I, the graph will be a_________________(straight line of positive slope, straight line of negative slope, curve tuming upwards, curve downwards). The magnetic field B around a current carrying wire forms________________around the wire. (straight lines, triangles, circles, squares) If B is plotted against several values of 1 for a fixed distance r_0, the graph will be a___________________(straight line of positive slope, straight line of negative slope, curve upwards, curve downwards)

Explanation / Answer

it is given that

B = u0*I /2*pi*r0

I = 3 A

I is constant ,

part(1)

distance changed from 0.6 to 1.2 means distance doubled.

B is inversely propotional to r0 so when r0 is doubled then B is reduse to half.

part(2)

now r0 = 2 m .

r0 is constant.

I is reducefrom 3 A to 1.5 A and I is direct propotional to the to the B.

when I is reduce to half than B is also reduce to half.

part(3)

B is inversely propotional to r0 .

so the graph b/w them is curve turnning downward.

part(4)

magnetic field B around a current carrying wire forms circles around the wire.

part(5)

B is directly propotional to I .so

graph b/w B and I is straight line of positive slope.

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