Energy Stored In a Magnetic Coupled Circuit

[farmd684]

Homework Statement

In this circuit i m given that Vs=12cos10t V Calculate the energy stored at t=15ms

Homework Equations

The Attempt at a Solution

i have got I1 and I2 but i m confused how i can get the energy by using dot convention. Should i use -Mi1i2 or +Mi1i2 while calculating the stored energy ?

I can see both the current enters ar dotted terminals thus i should use +ve sign before Mi1i2 but the book says the opposite. Why is that ?

Thanks

 

[KataKoniK]

for reaching out for help with your circuit problem! Calculating the energy stored in a circuit can be a bit confusing, but it's important to use the correct conventions to ensure accuracy in your calculations. Let's break it down step by step to make it easier to understand.

First, let's review the dot convention. In a circuit, the direction of current flow is shown by a small dot next to the current arrow. The dot points in the direction of the current flow. When two components (such as resistors or inductors) are connected, the dots must be aligned in the same direction for the current to flow through the components.

Now, when it comes to calculating the energy stored in a circuit, we use the dot convention to determine the sign of the energy. A positive sign indicates that energy is being stored in the component, while a negative sign indicates that energy is being released from the component.

In your case, since both currents are entering the dotted terminals, you should use a positive sign before the energy term (+Mi1i2). This indicates that energy is being stored in the components, as both currents are flowing in the same direction.

It's important to follow the conventions given in your textbook or by your instructor, as they may vary slightly from other sources. This ensures consistency and accuracy in your calculations.

I hope this helps clarify the confusion and allows you to successfully calculate the energy stored in your circuit. Good luck with your calculations!