15.
2 answers:
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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.
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The solution of the equation after solve the equation, 2x − 3 4x = 21 is 4. Option 3 is correct.
<h3>How to obtain the solution of equation?</h3>To obtain the solution of an equation, the similar terms should be arranged together and then mathematical operation need to be performed to simplify it.
The equation which is provided to solve is,
To solve this equation, arrange the like terms as,
Add number 3 both side of the equation as,
Divide both side of the equation with number 6, we get,
Hence, the solution of the equation after solve the equation, 2x − 3 4x = 21 is 4. Option 3 is correct.
Learn more about the solution of the equation here;