# 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.

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### 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 / √(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.