Problem No.7 based on Dot Convection | AC Coupled Circuit | Circuit Theory and Networks | EXTC | Summary and Q&A

TL;DR

This content provides a detailed explanation of how to find the current across mesh three in coupled circuits.

Key Insights

• 🫥 The dot convention and voltage sources simplify calculations in coupled circuits.
• 🤶 Values given in ohms represent M, while values without units represent K.
• 🧑‍🤝‍🧑 Mesh equations can be written and solved to determine currents in coupled circuits.

Transcript

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Questions & Answers

Q: What is the dot convention and how does it relate to voltage sources?

The dot convention involves replacing dots in a circuit with voltage sources to simplify calculations. The polarity of the voltage source depends on the dot's relationship to the voltage source in the original circuit.

Q: How do you determine if a given value represents M or K in a circuit?

In the context of this content, values given in ohms represent M, while values without any units represent K.

Q: How do you write the equation for mesh one in a coupled circuit?

In mesh one, you write the equation as 4 + j4i - 4ji2 - 4i3 - j53 = 230 angle 30, considering the components and current sources in the loop.

Q: What is the equation for mesh two in this coupled circuit?

The equation for mesh two is -j4i1 + 13 - j8i2 -7 - j8 - j5i3 = 0, taking into account the components and currents in the loop.

Summary & Key Takeaways

• The content discusses how to determine the current across mesh three in a circuit with coupled components.

• It explains the dot convention and how to replace dots with voltage sources.

• The content outlines the steps to write the mesh equations and solve for the currents.