Calculation of Inductor Current and Voltage

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Calculation of Inductor Current and Voltage [Copy link]

If there is coupling between the magnetic fields of the inductors, the expression for the total inductance becomes slightly more complicated. For the simple case of two inductors in series, the expression is as follows: Series inductance, Ltotal=L1+L2±2M (2.11) Where M is the mutual inductance caused by the interaction of the two magnetic fields (Note: +M is the case when the two magnetic fields are in the same direction, -M is the case when the two magnetic fields are in opposite directions). To understand the calculation of the inductor current and voltage, let's first understand what an inductor is and how the inductor coil is connected in a circuit. Dongguan Xinyong Electronics brings you a detailed introduction to the calculation of inductor current and voltage.

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In a circuit, when current flows through a conductor, an electromagnetic field is generated. The size of the electromagnetic field divided by the size of the current is the inductance. The definition of inductance is L=phi/i, and the unit is Weber. Inductance is the ratio of the magnetic flux of the wire to the current that produces the alternating magnetic flux inside and around the wire when an alternating current passes through it. Inductance is a physical quantity that measures the ability of a coil to produce electromagnetic induction. When a current is passed through a coil, a magnetic field is generated around the coil, and magnetic flux passes through the coil. The greater the power supplied to the coil, the stronger the magnetic field and the greater the magnetic flux passing through the coil.

When an inductor is connected to a circuit for use, there are two main ways: series connection and parallel connection. When several inductors are connected into a circuit, their total inductance is similar to the total resistance of several resistors connected in series and parallel. When there is no interaction between the magnetic fields of the inductors, the following formula is used for calculation: When inductors are used in circuits, a variety of data need to be calculated. The calculation of inductor current and voltage generally refers to the calculation of inductor voltage, because there is no inductor current to calculate when the inductor is in use. : Here are some common calculation formulas for inductor applications:

1. Inductor impedance calculation formula

Experiments have shown that inductive reactance is proportional to inductance and also to frequency. If inductive reactance is XL, inductance is L, and frequency is f, then XL = 2πfL. The unit of inductive reactance is ohm. Knowing the frequency f of the alternating current and the inductance L of the coil, the inductive reactance can be calculated using the above formula. 2. Calculation formula of inductor voltage: U = Ldi/dt Some LC tank circuits use air-core coils in the resonant circuit, as shown in the figure. Note that the two adjacent inductors are arranged perpendicular to each other. In the specific wireless circuit design, although such an arrangement is troublesome, it is a way to reduce the interaction between each magnetic field. Generally speaking, if the coils are very similar, the following two principles should be followed: (1) When the axes of the two coils are parallel to each other, the interaction is the greatest. (2) When the axes of the two coils are perpendicular to each other, the interaction is minimal. When the axes of the two coils are along the same straight line, the interaction depends on the distance between the two coils.