# Problem No.1 based on Mutual Inductance | AC Coupled Circuit | Circuit Theory and Networks | EXTC | Summary and Q&A

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March 17, 2021
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Problem No.1 based on Mutual Inductance | AC Coupled Circuit | Circuit Theory and Networks | EXTC

## TL;DR

This content explains how to calculate mutual inductance and coefficient of coupling in a concise manner.

## Key Insights

• โ Mutual inductance can be calculated from the difference between cumulative and differential inductance.
• ๐ The coefficient of coupling (k) indicates the degree to which the magnetic field of one coil influences the other.
• ๐๏ธ Mutual inductance and coefficient of coupling play important roles in understanding the behavior of coupled coils in electrical circuits.
• โ Equations and formulas provided in the content can be used to solve problems involving mutual inductance and coefficient of coupling.
• ๐ The value of mutual inductance determines the strength of the magnetic field between the coils.
• ๐งก The coefficient of coupling ranges from 0 to 1, with higher values indicating a stronger coupling between the coils.
• ๐คณ Calculating mutual inductance and coefficient of coupling requires knowledge of the self-inductance values of the coils.

## Transcript

in this case you have basically two different types your first type my difference will be based on your inductance and this basically you'll be calculating your mutual inductance or in some cases your coefficient of problem that will be given by so let's see there's some number one which you have in this case if you observe yourself one very carefu... Read More

### Q: What are the two types of differences in mutual inductance?

The two types of differences in mutual inductance are cumulative inductance and differential inductance. Cumulative inductance is 0.600, while differential inductance is 0.100, depending on the relative direction of the current.

### Q: How do you calculate the values of cumulative and differential inductance?

To find the cumulative inductance, use the equation L_cumulative = L1 + L2 + 2M, where L1 and L2 are the self-inductances of the two coils. To find the differential inductance, use the equation L_differential = L1 + L2 - 2M.

### Q: What is the formula for calculating mutual inductance (M)?

The formula for calculating mutual inductance is M = (0.6 - L1 - L2) / 2, where L1 and L2 are the self-inductances of the two coils.

### Q: How do you calculate the coefficient of coupling (k)?

The coefficient of coupling (k) can be calculated using the formula k = M / โ(L1 * L2), where M is the mutual inductance and L1, L2 are the self-inductances of the coils.

## Summary & Key Takeaways

• The content discusses the calculation of mutual inductance and coefficient of coupling in a series connection of two coils.

• It provides equations and formulas for finding cumulative and differential inductance values.

• The examples demonstrate how to calculate the values of mutual inductance and coefficient of coupling.