The mutual inductance (M) of two coils is determined by their geometry and coupling. The formula is M = k * √(L1 * L2), where k is the coupling coefficient, L1 and L2 are the self-inductances. For a value of M = 55 (units not specified), you’d need to know the specific values of k, L1, and L2, or their relationship, to calculate it.
Mutual Inductance of Two Coils Calculator
Mutual Inductance (M, in H):
| Coil 1 Self-Inductance (L1) | Coil 2 Self-Inductance (L2) | Coupling Coefficient (k) | Mutual Inductance (M) |
|---|---|---|---|
| 10 mH | 20 mH | 0.8 | 8 mH |
| 5 μH | 15 μH | 0.6 | 3 μH |
| 30 μH | 40 μH | 0.9 | 18 μH |
FAQs
How do you find the mutual inductance between two coils? Mutual inductance (M) between two coils can be found using the following formula:
M = k * √(L1 * L2)
Where:
- M is the mutual inductance.
- k is the coupling coefficient (a value between 0 and 1, representing the degree of coupling between the coils).
- L1 and L2 are the self-inductances of the two coils.
Is mutual inductance same for both coils? No, mutual inductance is not the same for both coils. It depends on the geometry and relative orientation of the coils, as well as the distance between them.
What is a mutual inductance between two coils if a current 10A? The mutual inductance (M) does not depend on the current passing through the coils. It is determined by the physical properties and configuration of the coils, as well as their relative positioning.
What is the formula for inductance of a coil? The formula for the inductance (L) of a coil is:
L = (μ₀ * N² * A) / l
Where:
- L is the inductance.
- μ₀ is the permeability of free space (approximately 4π x 10^(-7) H/m).
- N is the number of turns in the coil.
- A is the cross-sectional area of the coil.
- l is the length of the coil.
What is the mutual inductance of two fixed coils is 50? The mutual inductance of 50 (assuming no units provided) doesn’t provide enough information to determine the physical characteristics of the coils. You would need more details about the coils, such as their dimensions and relative positioning, to calculate their mutual inductance.
What is the mutual inductance between two wires? The mutual inductance between two wires depends on their separation distance, orientation, and the current flowing through them. There is no simple formula for mutual inductance between wires; it requires a more detailed analysis of their configuration.
What is mutual inductance of two wire? The mutual inductance between two wires depends on their physical arrangement and the current flowing through them. Without specific details about the wires and their configuration, it’s not possible to provide a numerical value.
What is the formula for mutual inductance L1 and L2? The formula for mutual inductance (M) has already been provided earlier:
M = k * √(L1 * L2)
What is the mutual inductance of two coils vary? The mutual inductance between two coils can vary depending on factors such as their separation distance, relative orientation, and the coupling coefficient (k). It is not a constant value and can change based on these factors.
What is the mutual inductance between two rectangular coils? The mutual inductance between two rectangular coils can be calculated using the same formula mentioned earlier, but the values of L1 and L2 would depend on the specific dimensions and arrangement of the coils. You would need to know the coil dimensions and orientation to calculate it.
What is the mutual inductance of two perpendicular coils? The mutual inductance between two perpendicular coils also depends on their specific dimensions, orientation, and the number of turns. You would need more details to calculate it.
What is the maximum possible mutual inductance between the coils? The maximum possible mutual inductance between two coils depends on their physical arrangement and the properties of the materials between them. It can be maximized by bringing the coils close together and aligning them perfectly. The maximum mutual inductance is limited by the physical constraints of the system.
What is the mutual inductance of the coil and solenoid? The mutual inductance between a coil and a solenoid can be calculated using the formula for mutual inductance, but you would need specific details about the coil and solenoid, such as their dimensions and relative positioning, to calculate the value.
What is the inductance of a coil of 400 turns? To calculate the inductance of a coil with 400 turns, you would need additional information, specifically the cross-sectional area of the coil and its length, as mentioned in the inductance formula provided earlier.
What is inductance calculator? An inductance calculator is a tool or formula that allows you to compute the inductance of a coil or an inductor based on its physical characteristics, such as the number of turns, cross-sectional area, and length.
How do you calculate total inductance? To calculate the total inductance in a circuit with multiple inductors connected in series, you simply add the individual inductances:
Total Inductance (L_total) = L1 + L2 + L3 + …
In a parallel circuit, you use the reciprocal of the sum of the reciprocals of individual inductances:
1 / L_total = 1 / L1 + 1 / L2 + 1 / L3 + …
What is the mutual inductance if two coils of 10mH and 500mH have 90% of the flux transferred from one to the other? Assuming 90% of the flux is transferred, you can find the mutual inductance (M) using the formula:
M = √(L1 * L2)
M = √(10 mH * 500 mH) = √(5000) ≈ 70.71 mH (approximately)
What is the mutual inductance of an AC circuit? The mutual inductance of an AC circuit is calculated in the same way as for a DC circuit. It depends on the physical properties and arrangement of the coils involved, as well as the frequency and amplitude of the AC signal.
How does mutual inductance of a pair of coil change when? The mutual inductance of a pair of coils can change based on several factors:
- Changing the distance between the coils.
- Varying the relative orientation of the coils.
- Altering the number of turns in either coil.
- Modifying the permeability of the material between the coils.
- Changing the frequency or amplitude of the current passing through the coils.
What is the formula for the mutual inductance of two solenoids? The mutual inductance of two solenoids can be calculated using a modified version of the mutual inductance formula, taking into account the solenoid’s geometry and the number of turns. The formula becomes more complex and is typically derived through mathematical analysis.
How do you find the mutual inductance of a circuit? To find the mutual inductance of a circuit, you need to know the properties of the coils or inductors in the circuit, such as their self-inductances (L1 and L2), the coupling coefficient (k), and their physical arrangement. You can then use the formula mentioned earlier:
M = k * √(L1 * L2)
When two inductors L1 and L2 are connected in series what is its total inductance? When two inductors are connected in series, their total inductance is the sum of their individual inductances:
Total Inductance (L_total) = L1 + L2
What is the formula for mutual inductance and self inductance? The formula for mutual inductance is: M = k * √(L1 * L2) And the formula for self inductance is the same as mentioned earlier: L = (μ₀ * N² * A) / l
Is the mutual inductance of two coils varies directly as length? The mutual inductance of two coils does not vary directly with the length of the coils. It depends on multiple factors, including the number of turns, the cross-sectional area, and the distance between the coils, in addition to their length.
What is the mutual inductance of two concentric rings? The mutual inductance of two concentric rings can be calculated using the same mutual inductance formula, but you would need specific details about the dimensions and arrangement of the rings to determine the value.
Does mutual inductance depend on distance between coils? Yes, mutual inductance depends on the distance between coils. As the distance between the coils increases, the mutual inductance generally decreases, assuming other factors remain constant.
Is mutual inductance always positive? Mutual inductance can be positive or negative, depending on the relative orientation of the coils and their coupling. Positive mutual inductance means the coils are aiding each other’s magnetic fields, while negative mutual inductance means they oppose each other.
What is the self inductance of a coil having 5000 number of turns? To calculate the self-inductance of a coil with 5000 turns, you would need to know the cross-sectional area and length of the coil, as well as the permeability of the material inside the coil, to use the self-inductance formula mentioned earlier.
What is the inductance of a closely packed coil of 200 turns? To calculate the inductance of a closely packed coil of 200 turns, you would need more details about its dimensions and configuration, as specified in the inductance formula.
How do you increase the inductance of a coil? You can increase the inductance of a coil by:
- Adding more turns to the coil.
- Increasing the cross-sectional area of the coil.
- Using a core material with higher permeability.
- Increasing the coil’s length.
- Winding the coil more tightly.
What is the coefficient of mutual inductance of a coil? The coefficient of mutual inductance, denoted as “k,” is a dimensionless value between 0 and 1 that represents the degree of coupling between two coils. It quantifies how much of one coil’s magnetic flux links with the other coil.
What is the inductance of a coil with turns 50 flux 3 units and a current of 0.5 A? The provided information doesn’t include enough details to calculate the inductance. To calculate inductance, you need to know the number of turns, the cross-sectional area, the length of the coil, and the permeability of the material. The given values are not sufficient for this calculation.
What is the mutual inductance of m12 of coil 1 with respect to coil 2? The question is unclear; it seems to be missing information needed to calculate the mutual inductance. Mutual inductance depends on the properties and arrangement of both coils, not just one coil.
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