A 6.0 V battery, a 220 W resistor, a 680 µF capacitor (initially uncharged), and a...
A 6.0 V battery, a 220 W resistor, a 680 µF capacitor (initially uncharged), and a switch (initially open) are all connected in series, forming a loop. At t = 0 the switch is closed. (a) Find the initial current in the loop. (b) Find the charge on the capacitor at t = 0.100 s. (c) At what point in time will the voltage across the resistor equal 5.0 V? (d) What will be the maximum energy stored in the capacitor if the switch remains closed?
9. In the circuit described above the battery is removed after several minutes have passed. Then the loop is completed without the battery so that the capacitor is connected to the resistor. (a) How much time is required to discharge the capacitor by 99% (i.e. it retains only 1% of its original charge)? (b) What is the current at that point?
Homework Answers
The charging and discharging rc circuit
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A 6.0 V battery, a 220 W resistor, a 680 µF capacitor (initially
uncharged), and a...
A 1.2 µF capacitor, initially uncharged, is connected in series to a 12 V ideal battery...
A 1.2 µF capacitor, initially uncharged, is connected in series to a 12 V ideal battery and a 5 kΩ resistor. (a) What is the charge on the capacitor after a very long time? ( b) Derive expressions describing the evolution of the electric charge and of the current in time (Q(t) and I(t)). (c) How long does it take the capacitor to reach 95% of its final charge?
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A 1 000-V battery, a 3 000-Ω resistor, and a 0.50-µF capacitor are connected in series...
A 1 000-V battery, a 3 000-Ω resistor, and a 0.50-µF capacitor are connected in series with a switch. The capacitor is initially uncharged. What is the value of the current the moment after the switch is closed?
A capacitor of 4 μF initially uncharged is connected with a battery of 12 V and...
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You have a 3000-Ohm resistor, a 10-mF capacitor, and a 100-V battery. Assume the battery is...
You have a 3000-Ohm resistor, a 10-mF capacitor, and a 100-V battery. Assume the battery is ideal, and that the capacitor is initially uncharged. You connect the battery, resistor and capacitor in series and complete the circuit. forming a loop. a) How much time passes before the capacitor reaches 2/3 of it's maximum charge (b) What is the magnitude of the current when the capacitor is at 2/3 max charge? (c.) How much charge is on the capacitor 10 seconds...
You have a 3000-Ohm resistor, a 10-mF capacitor, and a 100-V battery. Assume the battery is...
You have a 3000-Ohm resistor, a 10-mF capacitor, and a 100-V battery. Assume the battery is ideal, and that the capacitor is initially uncharged. You connect the battery, resistor and capacitor in series and complete the circuit, forming a loop. (a.) How much time passes before the capacitor reaches 2/3 of it's maximum charge? (b.) What is the magnitude of the current when the capacitor is at 2/3 max charge? (c.) How much charge is on the capacitor 10 seconds...
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1. A 450 nF capacitor is initially uncharged. The capacitor is connected in series with a...
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ln the figure below you see a circuit with a battery (V), a capacitor (C), and...
ln the figure below you see a circuit with a battery (V), a
capacitor (C), and two resistors (R1 and R2). The circuit has a
switch that can be in two positions: switched to touch point A or
switched to touch point B. By setting first the switch to A you can
charge the capacitor, and then switching it to B you discharge the
capacitor through the resistor. (This is the simple mechanism
behind a camera flash, you can imagine...
You charge an initially uncharged 81.1-mF capacitor through a 39.1-12 resistor by means of a 9.00-V battery having negligible internal resistance. Find the time constant t of the circuit. t= What is the charge Q on the capacitor 1.17 time constants after the circuit is closed? What is the charge Qo after a long amount of time has passed?
You have a 3000-Ohm resistor, a 10-mF capacitor, and a 100-V battery. Assume the battery is ideal, and that the capacitor is initially uncharged. You connect the battery, resistor and capacitor in series and complete the circuit. forming a loop. a) How much time passes before the capacitor reaches 2/3 of it's maximum charge (b) What is the magnitude of the current when the capacitor is at 2/3 max charge? (c.) How much charge is on the capacitor 10 seconds...
You have a 3000-Ohm resistor, a 10-mF capacitor, and a 100-V battery. Assume the battery is ideal, and that the capacitor is initially uncharged. You connect the battery, resistor and capacitor in series and complete the circuit, forming a loop. (a.) How much time passes before the capacitor reaches 2/3 of it's maximum charge? (b.) What is the magnitude of the current when the capacitor is at 2/3 max charge? (c.) How much charge is on the capacitor 10 seconds...
ln the figure below you see a circuit with a battery (V), a
capacitor (C), and two resistors (R1 and R2). The circuit has a
switch that can be in two positions: switched to touch point A or
switched to touch point B. By setting first the switch to A you can
charge the capacitor, and then switching it to B you discharge the
capacitor through the resistor. (This is the simple mechanism
behind a camera flash, you can imagine...
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