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How to calculate the inductance of a home made inductor?
To calculate the inductance of a home made inductor simply take the number of turns,the magnetic flux linkage and the current and use the inductance formula.
What happens when a dc voltage is applied to an inductor?
The equation of an inductor is ...di/dt = V/L... meaning that the rate of change of current in amperes per second is proportional to voltage and inversely proportional to inductance in henries.If, for example, you connect a 200 millihenry inductor across a 12 volt battery, the current will increase at a rate of 60 amperes per second.Now, the question is, can the inductor, conductors, and/or battery handle that? The answer is no. Something is going to fail. The inductor will rather quickly look like a short circuit across the battery.This example does not take resistance into account. Practical inductors, conductors, and batteries have resistance, and that will place an upper limit on current but, still, this is not an appropriate way to connect an inductor to a battery.DO NOT TRY IT IN THE LAB - THERE IS RISK OF EXPLOSION.
Why does the inductor have impedance at high frequencies?
An inductor has impedance at high frequencies because its reactance, which is a measure of how much it resists changes in current, increases with frequency. This reactance is given by the formula (X_L = 2\pi f L), where (f) is the frequency and (L) is the inductance. As the frequency increases, the inductor opposes rapid changes in current more effectively, resulting in higher impedance. This behavior makes inductors useful in filtering applications, where they can block high-frequency signals while allowing lower frequencies to pass.
What is the reactance of a 3-H inductor when the frequency is 100Hz?
The reactance (X_L) of an inductor is calculated using the formula (X_L = 2\pi f L), where (f) is the frequency in hertz and (L) is the inductance in henries. For a 3-H inductor at a frequency of 100 Hz, the reactance is (X_L = 2\pi (100)(3) \approx 1884.96 , \Omega). Thus, the reactance of the 3-H inductor at 100 Hz is approximately 1885 ohms.
What is the diode equation?
The diode equation describes the current-voltage relationship of a diode, given by the formula ( I = I_s \left( e^{\frac{qV}{kT}} - 1 \right) ). Here, ( I ) is the diode current, ( I_s ) is the reverse saturation current, ( q ) is the charge of an electron, ( V ) is the voltage across the diode, ( k ) is Boltzmann's constant, and ( T ) is the absolute temperature in Kelvin. This equation illustrates how current flows through a diode in response to an applied voltage, highlighting the exponential increase in current with forward bias.
How to calculate the inductance of a home made inductor?
To calculate the inductance of a home made inductor simply take the number of turns,the magnetic flux linkage and the current and use the inductance formula.
What is the heat produced by an inductor?
They are called I squared R losses. That is the formula for calculating power (P) in watts. P=I^2*R. I equals current in amps. R equals resistance in ohms. Also if the voltage (E) is known the formula is P=E^2/R. The current of electrons meets the resistance of the coil wire. That results in heat in inductor and transformer coils.
Why inductor does not allow the sudden change of current?
an inductor has inductance(L). its unit is henry. when any change in currentin a inductor occurs it produces an self induced emf equal to e=-Ldi/dt volt. minus(-) sign indicates the direction of the induced voltage which is in opposition to the cause which is producing it. here the case is change in current(di/dt). that's why, whyan inductor opposes any change in voltage and hence current in it.
How do you increase the inductance in a inductor?
Since we know that inductance of an inductor depends on the length of inductor by the formula L=muAN*N/l, where l is the length of inductor. So by varying the length of inductor we say that inductance of inductor varies.
What amount of energy is stored in a 4.7mH inductor when the current is 20mA?
The energy stored in an inductor is given by the formula W = 1/2 * L * I^2, where W is the energy in joules, L is the inductance in henries, and I is the current in amperes. Substituting the values given, we get W = 1/2 * 4.7mH * (20mA)^2 = 4.7mJ. Thus, the energy stored in the inductor is 4.7 millijoules.
An equation that describes a known relationship among quantities is called a?
Formula
What is the relationship between power, voltage, and current, and how can it be expressed mathematically using the formula power equals voltage multiplied by current?
The relationship between power, voltage, and current can be expressed mathematically using the formula: Power Voltage x Current. This formula shows that power is directly proportional to both voltage and current. In other words, an increase in either voltage or current will result in an increase in power.
What happens when a dc voltage is applied to an inductor?
The equation of an inductor is ...di/dt = V/L... meaning that the rate of change of current in amperes per second is proportional to voltage and inversely proportional to inductance in henries.If, for example, you connect a 200 millihenry inductor across a 12 volt battery, the current will increase at a rate of 60 amperes per second.Now, the question is, can the inductor, conductors, and/or battery handle that? The answer is no. Something is going to fail. The inductor will rather quickly look like a short circuit across the battery.This example does not take resistance into account. Practical inductors, conductors, and batteries have resistance, and that will place an upper limit on current but, still, this is not an appropriate way to connect an inductor to a battery.DO NOT TRY IT IN THE LAB - THERE IS RISK OF EXPLOSION.
Why does the inductor have impedance at high frequencies?
An inductor has impedance at high frequencies because its reactance, which is a measure of how much it resists changes in current, increases with frequency. This reactance is given by the formula (X_L = 2\pi f L), where (f) is the frequency and (L) is the inductance. As the frequency increases, the inductor opposes rapid changes in current more effectively, resulting in higher impedance. This behavior makes inductors useful in filtering applications, where they can block high-frequency signals while allowing lower frequencies to pass.
What is the formula for finding total difference across the inductor and the capacitor in a series circuit?
refer your text
The current through an inductor given the formula I equals E divided by 2 x pi x fL is 100 mA What is the current if the voltage is doubled the frequency is doubled and the inductance is doubled?
Yes, the current through an inductor is E / 2 pi f L. This is Ohm's law, I = E / R, where R = XL = 2 pi f L.Doubling the voltage will double the current, doubling the frequency will halve the current, and doubling the inductance will halve the current. In the specific question, if the initial current is 100 mA, then doubling voltage, frequency, and inductance will result in a current of 50 mA.Look at the formula E / 2 pi f L. Current is proportional to voltage, and inversely proportional to frequency and inductance. You don't even have to do a calculation - you can solve this by inspection.
What is the relationship between ohms resistance and amps for current?
Ohm's Law states that the current (amps) in a circuit is directly proportional to the voltage and inversely proportional to the resistance (ohms). This relationship can be described by the formula I = V/R, where I is the current, V is the voltage, and R is the resistance.
