# Homework Help: Oscillations in a Circuit

1. Jun 5, 2013

### Slightly

1. The problem statement, all variables and given/known data

In the given picture, I need to formulate some kind of solution to find functions for the current, knowing that the two inductances create a mutual inductance (coupling)

3. The attempt at a solution

I start by formulating these two equations where M is the mutual inductance.

For the left, E= Q/C + L1*dI1/dt - M*dI2/dt
and
for the right, 0= L2*dI2/dt + R*I2 - M*dI1/dt

Does this look okay so far, and where should I go from here?

File size:
17 KB
Views:
103
2. Jun 6, 2013

### darkxponent

What is Q?. Find it and the question will be solved.

3. Jun 6, 2013

### Slightly

Q is just the charge on the capacitor

4. Jun 6, 2013

### darkxponent

Is there a relation between Q and I1, I2 ?

5. Jun 7, 2013

### Slightly

I'm sure there is one, but Q is just a characteristic of the capacitor.

6. Jun 7, 2013

### darkxponent

The two equations you have made have 3 variables(Q ,I1, I2,) so it cant be solved. Try to get a third equation and you will have 3 equations for three variables.

Hint: The third equation is a relation between I1 and Q. What is it?