Add or subtract as indicated.

1 answer:

4 0

In order to add or subtract numbers expressed in scientific notation, it is important that the powers of 10 in the numbers should have the same index or else you cannot readily add or ubtract these numbers. We do as follows:<span>
a. 5.80 x 10^9 s +3.20 x 10^8 s
We need to adjust one of the numbers since they do not have the same indices. We move one place to the left of the second number making it .320 x 10^9 s. Then, we can add the numbers now:

</span>5.80 x 10^9 s +.320 x 10^9 s = 6.12 x 10^9 s<span>

b. 4.87 x 10^-6 m - 1.93 x 10^-6 m

We can subtract the numbers directly since they have the same indices.

</span>4.87 x 10^-6 m - 1.93 x 10^-6 m = 2.94 x 10^-6 m

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A small circular coil of 5 turns of wire lies in a uniform magnetic field of 0.8 T, so that the normal to the plane of the coil

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Complete question:

A small circular coil of 5 turns of wire lies in a uniform magnetic field of 0.8 T, so that the normal to the plane of the coil makes an angle of 100◦ with the direction of B~ . The radius of the coil is 4 cm, and it carries a current of 1 A.

What is magnitude of the magnetic moment of the coil? Answer in units of A · m2.

Answer:

The magnetic moment of the coil is 0.0252 A.m²

Explanation:

Given;

radius of the coil, r = 4 cm = 0.04 m

number of turns of the coil, N = 5 turns

magnetic field strength B = 0.8 T

current in the coil, I = 1 A

Area of the coil, A = πr² = π(0.04)² = 0.00503 m²

magnetic moment of the coil, μ = NIA

where;