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The figure shows a metallic block, with its faces parallel to coordinate axes. The block is in a uniform magnetic field of magnitude 0.018 T. One edge length of the block is 22 cm; the block is not drawn to scale. The block is moved at 2.3 m/s parallel to each axis, in turn, and the resulting potential difference V that appears across the block is measured. With the motion parallel to the y axis, V =17 mV; with the motion parallel to the z axis,V = 12 mV; with the motion parallel to the x axis, V = 0. What are the block lengths (a) dx, (b) dy, and (c) dz?



Answer :

According to the given statement (a)dx = 22 cm (b) dy =28 cm (c) dz= 41 cm  are the block lengths .

What is the mechanism of the magnetic field?

While similar sides repel each other and, opposite polarities are attracted to one another. Iron's atoms' inland ends align in the right approximate direction when it is rubbed against a magnet. A magnetic field is produced by the force that the aligned ions produce.

Briefing:

We observe that B must be along the x axis because there is no induced voltage when the velocity is along that axis.

Combining v = E /B and V = Ed leads to

Thus it is important to carefully read the symbols to make sure that d, v, and B are perpendicular to one another. The absolute value of the voltage, which is assumed to be in the same "direction" as d, is therefore 0.012V when the velocity is parallel to the y axis.

d = dz = 0.017 / (2.3 m.s)(0.018 T) = 0.41 m

On the other hand, the absolute value of the relevant voltage is 0.012V when the velocity is parallel to the Z axis, and

d = dy = 0.012 / (2.3 m.s)(0.018 T) = 0.28 m

(a)22cm (which we determine "by elimination," as we have already determined dy and dz),

(b)dy = 28 cm

(c)dz = 41 cm

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