13.4 Let is = 2 cos 10t A in the circuit of Fig. 13.14, and find the total energy stored in the passive network at t = 0 if k = 0.6 and terminals x and y are (a) left open-circuited; (b) short-circuited. I need help understanding part b. I am good on part a, part b is kind of confusing because I keep assuming that the current in the right will be zero since we are dealing with t=0. What would be the current for the right mesh?

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13.4 Let is = 2 cos 10t A in the circuit of Fig. 13.14, and find the total
energy stored in the passive network at t = 0 if k = 0.6 and terminals
x and y are (a) left open-circuited; (b) short-circuited.

I need help understanding part b. I am good on part a, part b is kind of confusing because I keep assuming that the current in the right will be zero since we are dealing with t=0. What would be the current for the right mesh?

The diagram illustrates a coupled inductive electrical circuit with the following components:

1. **Left Loop**:
   - Contains a current source labeled \( i_s \).
   - A resistor with a resistance of \( 3 \, \Omega \).
   - An inductor with an inductance of \( 0.4 \, \text{H} \).

2. **Right Loop**:
   - Has an inductor with an inductance of \( 2.5 \, \text{H} \).

3. **Coupling Between Inductors**:
   - The inductors in the two loops are magnetically coupled, indicated by the symbol \( M \), which represents the mutual inductance between them.

4. **Terminals**:
   - The right loop ends with terminals labeled \( x \) and \( y \).

This circuit is typically used to study mutual inductance in circuits, where the change in current in one inductor can induce an electromotive force (EMF) in another. The mutual inductance \( M \) quantifies the degree of coupling between the inductors, allowing for analysis of energy transfer between them.
Transcribed Image Text:The diagram illustrates a coupled inductive electrical circuit with the following components: 1. **Left Loop**: - Contains a current source labeled \( i_s \). - A resistor with a resistance of \( 3 \, \Omega \). - An inductor with an inductance of \( 0.4 \, \text{H} \). 2. **Right Loop**: - Has an inductor with an inductance of \( 2.5 \, \text{H} \). 3. **Coupling Between Inductors**: - The inductors in the two loops are magnetically coupled, indicated by the symbol \( M \), which represents the mutual inductance between them. 4. **Terminals**: - The right loop ends with terminals labeled \( x \) and \( y \). This circuit is typically used to study mutual inductance in circuits, where the change in current in one inductor can induce an electromotive force (EMF) in another. The mutual inductance \( M \) quantifies the degree of coupling between the inductors, allowing for analysis of energy transfer between them.
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