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For questions about mesh analysis, a circuit analysis method that is used to solve for the currents (and indirectly the voltages) at any place in a planar circuit (planar circuits are circuits that can be drawn on a plane surface without any wires crossing each other). Always use in conjunction with the "circuit-analysis" tag.

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Different answers from mesh analysis and voltage division

This is a problem solving for the voltage across a capacitor with initial conditions. After finding initial conditions and transforming into s-domain, the circuit looks like this: So, the voltage we …
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