Problem 6 a) Determine the equivalent inductance of the following circuit 10 mH ll 60 mH 25 mH 20 mH 30 mH ll b) An electric motor can be modeled as a series combination of a 120 resistor and a 200mH inductor. A current i(t) = 2te-10t A t > Os flows through this series combination. Find the voltage v(t) across this series combination for t 2 Os

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**Problem 6**

a) Determine the equivalent inductance of the following circuit:

The diagram shows a circuit with four inductors. From left to right:

- A 25 mH inductor is in series with the parallel combination of three inductors: 10 mH, 60 mH, and 20 mH.
- A 30 mH inductor is in series with the 20 mH inductor.

b) An electric motor can be modeled as a series combination of a 12Ω resistor and a 200mH inductor. A current \( i(t) = 2te^{-10t} \, \text{A} \) for \( t \geq 0 \) flows through this series combination. Find the voltage \( v(t) \) across this series combination for \( t \geq 0 \).

The diagram represents a series circuit consisting of:

- \( R1 \) with a resistance of 12Ω.
- \( L1 \), a 200mH inductor.
- The current \( i(t) \) flows from left to right.
- The voltage \( v(t) \) is measured across the combination, with the positive terminal on the left and the negative terminal on the right.
Transcribed Image Text:**Problem 6** a) Determine the equivalent inductance of the following circuit: The diagram shows a circuit with four inductors. From left to right: - A 25 mH inductor is in series with the parallel combination of three inductors: 10 mH, 60 mH, and 20 mH. - A 30 mH inductor is in series with the 20 mH inductor. b) An electric motor can be modeled as a series combination of a 12Ω resistor and a 200mH inductor. A current \( i(t) = 2te^{-10t} \, \text{A} \) for \( t \geq 0 \) flows through this series combination. Find the voltage \( v(t) \) across this series combination for \( t \geq 0 \). The diagram represents a series circuit consisting of: - \( R1 \) with a resistance of 12Ω. - \( L1 \), a 200mH inductor. - The current \( i(t) \) flows from left to right. - The voltage \( v(t) \) is measured across the combination, with the positive terminal on the left and the negative terminal on the right.
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