After having been open for a long time, the switch in the figure below is closed

Question

After having been open for a long time, the switch in the figure below is closed at time t = 0. Use the following values of resistance and capacitance: R1 = 10.0 k%u03A9, R2 = 22.0 k%u03A9, R3 = 4.00 k%u03A9, and C = 17.0 %u03BCF.

(a) Just after the switch is closed, what are the absolute values of the currents through the three resistors?  Give your answers in microamps.

through resistor 1: answer in micro A
through resistor 2: answer in micro A

through resistor 3: answer in micro A

(c) After the switch has been closed for a long time, what are the absolute values of the currents through the three resistors?  Give your answers in microamps.
through resistor 1: answer in micro A

through resistor 2: answer in micro A

through resistor 3: answer in micro A

(d) After the switch has been closed for a long time, what is the charge separated by the capacitor?  Give your answer in microcoulombs.

(e) With the switch closed, what is the time constant for the growth of charge separated by the capacitor?  HINT: Use your knowledge of the maximum charging current and the maximum separated charge; to find the differential equation for the growth of charge requires using the Loop and Junction rules and solving three equations in three unknowns, which is an unnecessarily difficult strategy.

(answer in seconds)

the separated charge: in micro C

the current through resistor 1: in micro A

the current through resistor 2: in micro A

the current through resistor 3: in micro A

the rate at which energy is being stored in the capacitor: W

the rate at which thermal energy is being produced in resistor 1: W

the rate at which thermal energy is being produced in resistor 2: W

the rate at which thermal energy is being produced in resistor 3: W

After having been closed a long time, the clock is reset to t = 0, and the switch is suddenly reopened.

(h) Just after the switch is reopened, what are the absolute values of the currents through the three resistors?  Give your answers in microamps.

the current through resistor 2:

the current through resistor 3:

(i) Just after the switch is reopened, at what rate is energy being released from the capacitor? W

(j) After the switch has been reopened, what is the time constant for decay of charge separated by the capacitor? s

charge separated by the capacitor: %u03BCC

absolute value of the discharging current: %u03BCA

the rate at which the capacitor is releasing stored energy: W

the rate at which thermal energy is being produced in resistor 2: W

the rate at which thermal energy is being produced in resistor 3: W

(m) After the switch has been reopened, find the time interval required for the charge separated by the capacitor to fall to 19.0% of its maximum value.

in s

Explanation / Answer

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