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2 years ago

How do I write a complex number in standard form

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

3 0

Answer:

a±bi

Step-by-step explanation:

Have a as the real number and bi as the "imaginary" or not real part.

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A certain semiconductor device requires a tunneling probability of T = 10-5 for an electron tunneling through a rectangular barr

Goryan [66]

Answer:

Generally the barrier width is $a = 1.9322 *10^{-9} \ m$

Step-by-step explanation:

From the question we are told that

The tunneling probability required is $T = 1 * 10^{-5}$

The barrier height is $V_o = 0.4 eV$

The electron energy is $E = 0.08eV$

Generally the wave number is mathematically represented as

$k = \sqrt{ \frac{2 * m [V_o - E]}{\= h^2} }$

Here m is the mass of the electron with the value $m = 9.11 *10^{-31} \ kg$

h is is know as h-bar and the value is $\= h = 1.054*10^{-34} \ J \cdot s$

$k = \sqrt{ \frac{2 * 9.11 *10^{-31 } [0.4 - 0.04] * 1.6*10^{-19}}{[1.054*10^{-34}^2]} }$

=> $k = 3.073582 *10^{9} \ m^{-1}$

Generally the tunneling probability is mathematically represented as

$T = 16 * \frac{E}{V_o } * [1 - \frac{E}{V_o} ] * e^{-2 * k * a}$

$1.0 *10^{-5} = 16 * \frac{0.04}{0.4 } * [1 - \frac{0.04}{0.4} ] * e^{-2 * 3.0736 *10^{9} * a}$

=> $6.944*10^{-6}= e^{-2 * 3.0736 *10^{9} * a}$

Taking natural log of both sides

$ln[6.944*10^{-6}] = -2 * 3.0736 *10^{9} * a}$

=> $-11.8776 = -2 * 3.0736 *10^{9} * a}$

=> $a = 1.9322 *10^{-9} \ m$

4 0

2 years ago

Martha breaded 1/2 of fish and ate 1/3 how much did Martha eat

tigry1 [53]

So she breaded 1/2 of the fish and then ate 1/3 of that 1/2. So we need to find 1/3 of 1/2.

When you see "of" it means "×"

1/3 of 1/2 =
1/3 × 1/2 =
1/6

She ate 1/6 of the fish. She only ate 1/6 because fish is gross.

6 0

3 years ago

If 4 people share 2.00$ equally how much does each person get

Ugo [173]

8 ,the answer is 8 you just ignore the zeros and multiply 4x2=8

6 0

3 years ago

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Nine subtracted from four times a number is -21 what is the number?

faust18 [17]

Answer:

-3

Step-by-step explanation:

My knowledge ;D

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3 years ago

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10 gallons equals how many liters

Kitty [74]

10 gallons are about 38 liters.

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2 years ago

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