To solve: The equation E=IZ for given E=57+67i, Z=9+5i

Aneeka Hunt

Aneeka Hunt

Answered question

2021-08-19

To solve:
The equation E=IZ for given E=57+67i,Z=9+5i

Answer & Explanation

davonliefI

davonliefI

Skilled2021-08-20Added 79 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=EZ
Z=EI
2) Calculation:
Given,
E=57+67i,Z=9+5i
E=IZ
Dividing both sides on I
EI=IZZ
EZ=I
I=EZ
On substituting the values of E and Z
I=57+67i9+5i
Multiplying the conjugate 95i by the denominator with both the numerator and with the denominator
=57+57i9+5i×95i95i
=(57+67i)(95i)(9+5i)(95i)
Multiply each term of the first factor with each term of the factor in the numerator.
=579+57(5i)+(67i)9+(67i)(5i)(9+5i)(95i)
=513285i+603i335i2(9+5i)(95i)
Since i2=1
=513285i+603i335(1)(9+5i)(95i)
=513285i+603i+335(9+5i)(95i)
Adding the real parts 513 and 335 together and the imaginary parts -285i and 603i together in the numerator
=(513+335)+(285i+603i)(9+5i)(95i)
Applying the rule for the product of sum and difference of two terms (a+b)(ab)=a2b2
=848+318i92(5i)2
=848+318i8125i2
Since i2=1
=

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?