+may use any non-organic resource. (i.e. no humazany no1) RC CircuitEVvea. Close switch 1 and then derive the equation for the current in thecircuit and the charge on the capacitor as a function of time.b. After a long time, you then open switch 1 and close switch 2. Derivethe equations for the charge on the capacitor and the current in thecircuit as a function of time.Hint: examine the limits of each equation to make sure that they makephysical sense.V112 VSW1wR22.5 ΜΩC1750 μFSW2wwR11.5 MQ

Step 1: when both switches are open voltage or charge across capacitor is V(0)=0V Step 2: When…

Answered: + may use any non-organic resource.…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 93CP: Consider the circuit below.(a) What is the RC time constant of the circuit? (b) What is the initial...

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A person with body resistance between his hands of 10.0k accidentally grasps the terminals of a20.0-kV power supply. (Do NOT do this!) (a) Draw a circuit diagram to represent the situation, (b) If the internal resistance of the power supply is 2000 , what is thecurrent through his body? (c) What is the power dissipated in his body? (d) If the power supply is to be made safe by increasing its internal resistance, what should the internal resistance be for the maximum current in this situation to be 1.00 mA or less? (e) Will this modification compromise the effectiveness of the power supply for driving low- resistance devices? Explain your reasoning.
A person with body resistance between his hands of 1.00 k accidentally grasps the terminals of a 20.0-kV power supply. (Do NOT do this!) (a) Draw a circuit diagram to represent the situation. (b) If the internal resistance of the power supply is 2000 , what is the current through his body? (c) What is the power dissipated in his body? (d) If the power supply is to be made safe by increasing its internal resistance, what should the internal resistance be for the maximum current in this situation to be 1.00 mA or less? (e) Will this modification compromise the effectiveness of the power supply for driving low-re si stance devices? Explain your reasoning,
The human body can exhibit a wide range of resistances to current depending on the path of the current, contact area, and sweatiness of the skin. Suppose the resistance across the chest from the left hand to the right hand is 1.0 106 . (a) How much voltage is required to cause possible heart fibrillation in a man, which corresponds to 500 mA of direct current? (b) Why should rubber-soled shoes and rubber gloves be worn when working around electricity?
. The generator at a large power plant has an output of 1,000,000 kW at 24,000 V. (a) If it were a DC generator, what would he the current in it? (b) What is its energy output each day—in joules and in kilowatt—hours? (c) If this energy is sold at a price of 10 cents per kilowatt-hour, how much revenue does the power plant generate each day?
A circuit contains a D cell battery, a switch, a 20- resistor, and four 20-mF capacitors connected in series, (a) What is the equivalent capacitance of the circuit? (b) What is the fiC time constant? (c) How long before the current decreases to 50% of the initial value once the switch is closed?
Study the symbols in Table 29.2. Then, without looking at the table, draw the symbols for these circuit elements: a. a wire, b. a switch, c. a resistor, d. an emf device, and e. a lightbulb.
(a) How much power is dissipated in a short circuit of 240-V ac through a resistance of 0.250 ? (b) What current flows?
The human body can exhibit a wide range of resistances to current depending on the path of the current, contact area, and sweatiness of the skin. Suppose the resistance across the chest from the left hand to the right hand is 1.0 106 . (a) How much voltage is required to cause possible heart fibrillation in a man, which corresponds to 500 mA of direct current? (b) Why should rubber-soled shoes and rubber gloves be worn when working around electricity?
Unreasonable Results In a recording of voltages due to brain activity (an EEG), a 10.0 mV signal with a 0.500 Hz frequency is applied to a capacitor, producing a current of 100 mA. Resistance is negligible. (a) What is the capacitance? (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?
In this chapter, most examples and problems involved direct current (DC). DC circuits have the current flowing in one direction, from positive to negative. When the current was changing, it was changed linearly from I=ImaxtoI=+Imax and the voltage changed linearly from V=Vmax to V=+Vmax where Vmax=ImaxR .Suppose a voltage source is placed in series with a resistor of R = 10 that supplied a current that alternated as a sine wave, for example, I(t)=(3.00A)sin(24.00st) . (a) What would a graph of the voltage drop across the resistor V(t) versus time look like? (b) What would a plot of V(t) versus I(t) for one period look like? (Hint: If you are not sure, try plotting V(t) versus I(t) using a spreadsheet.)
Consider the circuit below. The capacitor has a capacitance of 10 mF. The switch is closed and after a long time the capacitor is fully charged, (a) What is the current through each resistor a long time after the switch is closed? (b) What is the voltage across each resistor a long rime after the switch is closed? (c) What is the voltage across the capacitor a long time after the switch is closed? (d) What is the charge on the capacitor a long time after the switch is closed? (e) The switch is then opened. The capacitor discharges through the resistors. How long from the time before the current drops to one fifth of the initial value?
A circuit contains a D-cell battery, a switch, a 20- resistor, and three 20-mF capacitors. The capacitors are connected in parallel, and the parallel connection of capacitors are connected in series with the switch, the resistor and the battery, (a) What is die equivalent capacitance of the circuit? (b) What is the KC time constant? (c) How long before the current decreases to 50% of the initial value once the switch is closed?

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