cistG

2021-08-14

To solve:

The equation$E=IZ$ for given $I=10+4i,E=88+128i$

The equation

joshyoung05M

Skilled2021-08-15Added 97 answers

1) Concept: Mathematical modeling is the application of the mathematical concepts in various field of study and also in daily practical side of finding solutions for various problems.

In Ohm's law$E=IZ$ any of the unknown value can be found provided the value of the others two.

i.e.$E=IZ$

$I=\frac{E}{Z}$

$Z=\frac{E}{I}$

2) Calculation:

Given,

$I=10+4i,E=88+128i$

$E=IZ$

Dividing both sides on I

$\frac{E}{I}=\frac{IZ}{Z}$

$\frac{E}{I}=Z$

$Z=\frac{E}{I}$

On substituting the values of E and I

$Z=\frac{88+128i}{10+4i}$

$=\frac{2(44+64i)}{2(5+2i)}$

$=\frac{44+64i}{5+2i}$

Multiplying the conjugate$5-2i$ by the denominator with both the numerator and with the denominator

$=\frac{44+64i}{5+2i}\times \frac{5-2i}{5-2i}$

$=\frac{(44+64i)(5-2i)}{(5+2i)(5-2i)}$

Multiply each term of the first factor with each term of the factor in the numerator.

$=\frac{44\cdot 5+44\cdot (-2i)+64i\cdot 5+64i\cdot (-2i)}{(5+2i)(5-2i)}$

$=\frac{220-88i+320i-128{i}^{2}}{(5+2i)(5-2i)}$

$=\frac{220-88i+320i-128(-1)}{(5+2i)(5-2i)}$

$=\frac{220-88i+320i+128}{(5+2i)(5-2i)}$

Combining the real and imaginary parts

$=\frac{(220+128)+(320i-88i)}{(5+2i)(5-2i)}$

$=\frac{348+232i}{(5+2i)(5-2i)}$

Applying the rule for the product of sum and difference of two terms$(a+b)(a-b)={a}^{2}+{b}^{2}$

$=\frac{348+}{}$

In Ohm's law

i.e.

2) Calculation:

Given,

Dividing both sides on I

On substituting the values of E and I

Multiplying the conjugate

Multiply each term of the first factor with each term of the factor in the numerator.

Combining the real and imaginary parts

Applying the rule for the product of sum and difference of two terms

43

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

Determine the value of k if the remainder is 3 given $({x}^{3}+k{x}^{2}+x+5)\xf7(x+2)$

Is $41$ a prime number?

What is the square root of $98$?

Is the sum of two prime numbers is always even?

149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

What is the square root of 3 divided by 2 .

write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$