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2 years ago

Can anyone simplify this??

Mathematics

1 answer:

Natali5045456 [20]2 years ago

5 0

Answer:

$3^{12}$

Step-by-step explanation:

$($ $3^{5}$ $)^{2}$

You multiply the exponents to get:

$3^{10}$

Then you divide it by $3^{-2}$

When dividing exponents, you subtract.

10 - - 2 = 12 so the exponent is 12.

That leaves us with:

$3^{12}$

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Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

From the question we are told that

The radius of BC is $r_{BC} = 30 \ cm = 0.30 \ m$

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$B = \frac{\mu_o I}{4 \pi } [ \frac{\theta_{DA}}{r_{DA}} + \frac{\theta_{BC}}{r_{BC}}+ \frac{\theta_{CD}}{r_{CD}}+\frac{\theta_{AB}}{r_{AB}}]$

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The direction is into the page

This because the magnitude of the magnetic field due to arc BC whose direction is outward is less than that of DA whose direction is inward

This is because according to Fleming's Left Hand Rule the direction of current is perpendicular to the direction of magnetic field so since current in arc BC and DA are moving in opposite direction their magnetic field will also be moving in opposite direction

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