One Positive number is five times another number the difference between the two numbers is 172 to find the numbers
1 answer:
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The value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have:
The current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms.
As we know,
V = IR
V = (3 + j2)(4 - j3)
j² = -1 (complex part)
After simplification:
V = 18 - j volts
Thus, the value of the voltage is 18 - j volts if the current in a circuit is 3 + j2 amps and the resistance is 4 - j3 ohms option (c) is correct.
Learn more about the complex number here:
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Given :
Price of property , P = $145000 .
Money paid off in two ways a short term note at 11% interest and a long term note at 8% interest.
Total interest , I = $13850 .
To Find :
The amount of each note .
Solution :
Let , x money is paid off in 11 % interest rate and ( 145000-x) in 8% interest rate.
Therefore , their sum of interest in mathematics is given by :
Therefore , the amount of note is $75000 and $70000 for 11% and 8% interest rate respectively .
Hence , this is the required solution .