Rectangular to polar equation calculator3/15/2023 ![]() Internal Resistance of a Battery CalculatorĮlectronika adalah cabang dari ilmu fisika, teknik listrik, dan teknologi yang berkaitan dengan desain dan penggunaan rangkaian listrik yang berisi komponen listrik aktif (dioda, transistor, dan rangkaian terpadu) serta komponen listrik pasif (resistor, induktor, dan kapasitor) dan hubungan di antara komponen tersebut. Total Harmonic Distortion (THD) Calculator Three-Phase AC Power Calculator (Balanced Load) Radar Horizon and Target Visibility Calculator Radar Maximum Unambiguous Range and Pulse Repetition Frequency Calculator Calculation of Current-Limiting Resistors for a Single LED and LED Arrays NFC/RFID Planar Spiral Coil Inductance Calculator Parallel RLC Circuit Impedance Calculator Mutual Inductance Calculator - Inductances in Series Mutual Inductance Calculator - Parallel Inductances Resistor–Capacitor (RC) Circuit Calculator You may be interested in other calculators in the Kalkulator RF dan Elektronik group: To convert from polar coordinates r, φ to Cartesian coordinates x, y, do the following:Īrtikel ini ditulis oleh Anatoly Zolotkov. In this case, for capacitive loads, the angles should be negative in the range of –90° ≤ φ ≤ 0 and should not be corrected as described in the above formulas (that is, 360° is not added). If these formulas are used in electrical engineering calculations (see our AC Power Calculator and Three-Phase AC Power Calculator), then x is always positive and y is positive for an inductive load (lagging current) and negative for a capacitive load (leading current). To convert from Cartesian coordinates x, y to polar coordinates r, φ, use the following formulas: Positive angles are measured counterclockwise from the reference axis 0° and negative angles are measured clockwise from the reference axis.Īs the polar representation of a complex number is based on a right-angled triangle, we can use the Pythagorean theorem to find both the magnitude and the angle of a complex number, which is described below. The length of the phasor vector represents the magnitude of a function and the angle φ represents the angular position of the vector. ![]() In electrical engineering and electronics, a phasor (from phase vect or) is a complex number in the form of a vector in the polar coordinate system representing a sinusoidal function that varies with time. The polar representation consists of the vector magnitude r and its angular position φ relative to the reference axis 0° expressed in the following form: ![]() Any complex number can be represented by a displacement along the horizontal axis (real part) and a displacement along the vertical axis (imaginary part).Ī complex number can also be represented on the complex plane in the polar coordinate system. In math, the letter i is used instead of j.Ī complex number z = x jy = r ∠φ is represented as a point and a vector in the complex planeĬomplex numbers can be visually represented as a vector on the complex plane, which is a modified Cartesian plane, where the horizontal axis is called the real axis Re and displays the real part and the vertical axis is called the imaginary axis Im and displays the imaginary part. We use the letter j in electrical engineering because the letter i is reserved for instantaneous current. In a complex number x jy, x is called the real part and y is called the imaginary part. See our Electrical, RF and Electronics calculators and Electrical Engineering Converters.Ī complex number z can be expressed in the form z = x jy where x and y are real numbers and j is the imaginary unit commonly known in electrical engineering as the j-operator that is defined by the equation j² = –1. Using complex numbers, we can do four arithmetic operations with quantities that have both magnitude and angle, and sinusoidal voltages and other AC circuit quantities are precisely characterized by amplitude and angle. Complex numbers allow mathematical operators with phasors and are very useful in the analysis of AC circuits with sinusoidal currents and voltages. This shows that we can convert polar equations to rectangular equations and graph them using our past knowledge of functions.In electrical engineering and electronics, when dealing with frequency-dependent sinusoidal sources and reactive loads, we need not only real numbers, but also complex numbers to be able to solve complex equations. Knowing how to convert equations to rectangular and polar forms will help observe multiple relationships between two sets of data.Ĭonverting polar to rectangular equation will require us to use the relationship between $\boldsymbol$. We can convert polar equations to rectangular form to rewrite a rectangular equation in terms of $x$ and $y$ to an equation of the form $r$ and $\theta$. Polar to rectangular equation – Equations, Graphs, and Examples
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