i. Calculate the current in resistor R immediately after the switch is opened. ii. On the axes below, sketch the current in the circuit as a function of time from time t = 0 to a long time after the switch is opened. Explicitly label the maxima with numerical values or algebraic expressions, as appropriate. Current - Time (f) Is the total amount of energy dissipated in the resistors after the switch is opened greater than, less than, or equal to the amount of energy stored in the capacitor calculated in part (c) ? Greater than Less than Equal to Justify your answer.
i. Calculate the current in resistor R immediately after the switch is opened. ii. On the axes below, sketch the current in the circuit as a function of time from time t = 0 to a long time after the switch is opened. Explicitly label the maxima with numerical values or algebraic expressions, as appropriate. Current - Time (f) Is the total amount of energy dissipated in the resistors after the switch is opened greater than, less than, or equal to the amount of energy stored in the capacitor calculated in part (c) ? Greater than Less than Equal to Justify your answer.
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The first screenshot is the question however I'm asking for help on subpart E & F.

Transcribed Image Text:i. Calculate the current in resistor R immediately after the switch is opened.
ii. On the axes below, sketch the current in the circuit as a function of time from time t = 0 to a long time
after the switch is opened. Explicitly label the maxima with numerical values or algebraic expressions,
as appropriate.
Current
Time
(f) Is the total amount of energy dissipated in the resistors after the switch is opened greater than, less than, or
equal to the amount of energy stored in the capacitor calculated in part (c) ?
Greater than
Less than
Equal to
Justify your answer.

Transcribed Image Text:2R
S
2R
R
Vo
1. The circuit represented above is composed of three resistors with the resistances shown, a battery of voltage Vo,
a capacitor of capacitance C, and a switch S. The switch is closed, and after a long time, the circuit reaches
steady-state conditions. Answer the following questions in terms of Vo, R, C, and fundamental constants, as
аppropriate.
(a) Derive an expression for the steady-state current supplied by the battery.
(b) Derive an expression for the charge on the capacitor.
(c) Derive an expression for the energy stored in the capacitor.
Now the switch is opened at time t = 0.
(d) Write, but do NOT solve, a differential equation that could be used to solve for the charge q(t) on the
capacitor as a function of the time t after the switch is opened,
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