If w=10rad/sec, simplify and convert the following voltage to the time domain.
Sinusoids And Phasors
Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.
Circuit Theory
Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
If w=10rad/sec, simplify and convert the following voltage to the time domain.
![The image shows a mathematical expression:
\[
\frac{3 \angle 33^\circ - 10}{22 + 7j}
\]
Explanation:
- **Numerator:** The expression at the top is \(3 \angle 33^\circ - 10\). This indicates a complex number in polar form, where \(3\) is the magnitude and \(33^\circ\) is the angle. The \(-10\) suggests a subtraction, but it's ambiguous whether it refers to adjusting the magnitude or another operation entirely.
- **Denominator:** The expression \(22 + 7j\) represents a complex number in rectangular form, where \(j\) (or sometimes \(i\) in mathematics) is the imaginary unit.
This expression likely involves operations with complex numbers, possibly requiring conversion between polar and rectangular forms for calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11b54239-8e64-41df-bbac-e376c02f6bfa%2F54d859d7-1c2c-48b9-bf20-17e4ab0302bb%2Fq2bpgmn_processed.png&w=3840&q=75)
Given w= 10 rad/ sec
To convert the voltage into time domain
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