The switch in the circuit has been open for a long time and is closed at t = 0. Transform the circuit into the s domain and solve for I.(s) and i.(t). 1=0. 10 V + W 500 92 2502 0.1 H mmoo 500 Ω 0.1 H -000 io(t) 500 £2

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A: The given problem is from circuits.  The detailed solution is given in the next step

Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).