In the circuit shown, suppose that the switch has been closed sufficiently long for the capacitor to become fully charged. a) Find the steady-state current through each resistor. b) Find the charge on the capacitor. c) The switch is now opened at t= 0. Write an equation for the current iR2 through R2 as a function of time.
Sinusoids And Phasors
Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.
Circuit Theory
Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
In the circuit shown, suppose that the switch has been closed sufficiently long for the capacitor to become fully charged.
- a) Find the steady-state current through each resistor.
- b) Find the charge on the capacitor.
- c) The switch is now opened at t= 0. Write an equation for the current iR2 through R2 as a function of time.
- d) Find the time that it takes for the charge on the capacitor to fall to 1/5 of its initial value.
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