The switch makes contact with position b just before breaking contact with position a. As already mentioned, this is known as a make-before-break switch and is designed so that the switch does not interrupt the current in an inductive circuit. The interval of time between "making" and "breaking" is assumed to be negligible. The switch has been in the a position for a long time. At t = 0 the switch is thrown from position a to position b. What percentage of the initial energy stored in the inductor is dissipated in the 90 Ω resistor 1.2 ms after the switch is thrown from position a to position b?

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The switch makes contact with position b just before breaking contact with position a. As already mentioned, this is known as a make-before-break switch and is designed so that the switch does not interrupt the current in an inductive circuit. The interval of time between "making" and "breaking" is assumed to be negligible. The switch has been in the a position for a long time. At t = 0 the switch is thrown from position a to position b.

What percentage of the initial energy stored in the inductor is dissipated in the 90 Ω resistor 1.2 ms after the switch is thrown from position a to position b?

 

The image depicts an electrical circuit diagram that includes a voltage source, resistors, an inductor, and a switch.

1. **Voltage Source**: The circuit has a 60 V voltage source shown on the left side.

2. **Resistors**: 
   - A 30 Ω resistor is connected in series with the voltage source.
   - A 70 Ω resistor is present at the lower branch, connected after the switch.

3. **Switch**: The switch is initially at position 'b' and can be toggled to position 'a'. The switch is shown at position 'b' at time \( t = 0 \).

4. **Inductor**: A 0.32 H (Henry) inductor is included in the circuit, connected in series with a 90 Ω resistor.

5. **Current and Voltage Notations**:
   - \( i \) indicates the direction of current flow in the circuit, going through the 90 Ω resistor and the inductor.
   - \( v_1 \) represents the voltage across the inductor, with polarity marked (\(+\) at the top, \(-\) at the bottom).
   - \( v_2 \) indicates the voltage across the 70 Ω resistor, with polarity (\(+\) at the top, \(-\) at the bottom).

This diagram is typically used to analyze transient response and circuit behavior when the switch changes position from 'b' to 'a'.
Transcribed Image Text:The image depicts an electrical circuit diagram that includes a voltage source, resistors, an inductor, and a switch. 1. **Voltage Source**: The circuit has a 60 V voltage source shown on the left side. 2. **Resistors**: - A 30 Ω resistor is connected in series with the voltage source. - A 70 Ω resistor is present at the lower branch, connected after the switch. 3. **Switch**: The switch is initially at position 'b' and can be toggled to position 'a'. The switch is shown at position 'b' at time \( t = 0 \). 4. **Inductor**: A 0.32 H (Henry) inductor is included in the circuit, connected in series with a 90 Ω resistor. 5. **Current and Voltage Notations**: - \( i \) indicates the direction of current flow in the circuit, going through the 90 Ω resistor and the inductor. - \( v_1 \) represents the voltage across the inductor, with polarity marked (\(+\) at the top, \(-\) at the bottom). - \( v_2 \) indicates the voltage across the 70 Ω resistor, with polarity (\(+\) at the top, \(-\) at the bottom). This diagram is typically used to analyze transient response and circuit behavior when the switch changes position from 'b' to 'a'.
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