Write a KCL node equation for the node marked v1 in the circuit below. Put the equation in normal form (unknown voltages on the left, known voltages on the right). Then solve for v1 using the initial condition vc(0−) = 2 V and vs(t) = 6 V. The solution to the problem will entail the use of the capacitor i-v relationship i = C dv/dt . Don’t forget that the v in this equation is the voltage drop across the capacitor.
KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
Sign Convention
Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.
Write a KCL node equation for the node marked v1 in the circuit below. Put the
equation in normal form (unknown voltages on the left, known voltages on the right). Then solve
for v1 using the initial condition vc(0−) = 2 V and vs(t) = 6 V. The solution to the problem will
entail the use of the capacitor i-v relationship i = C dv/dt . Don’t forget that the v in this equation is
the voltage drop across the capacitor.
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