A parallel circuit is one with several paths through which electricity can travel. The total resistance in a parallel circuit isalways less than the resistance in any single branch. The total resistance R for the circuit shown can be computed from the, where R1 and R2 are the resistances in the individual branches. Suppose that a resistor with aR2formulaR1fixed resistance of 6 0 (ohms) is placed in parallel with a variable resistor of resistance x.a. Write R as a function of x.b. Complete the table.121830R(x)c. What value does R(x) approach as x → 0? Discuss the significance of this result.ГR,Current-ww

Answered: Image /qna-images/answer/49cc17a0-322d-404c-97bd-d3db2830e873.jpg

Answered: A parallel circuit is one with several…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 74AP: Consider a circuit that consists of a real battery with an emf and an internal resistance of r...

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A 1,00-?O voltmeter is placed in parallel with a 75.0kresistor in a circuit, (a) Draw a circuit diagram of the connection, (b) What is the resistance of the combination? If the voltage across the combination is kept the same as it was across the 75.0-kresistor alone, what is the percent increase in current? (d) If the current through the combination is kept the same as it was through the 75.0-kresistor alone, what is the percentage decrease in voltage? (e) Are the changes found in parts (c) and (d) significant? Discuss.
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.)
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 current of I = 2.9 A passes through the circuit shown, where R = 96 Ω. A) In terms of R, I, and numeric values, write an expression for the voltage of the source, V. B) What is the voltage, V in volts?
A resistor is dissipating 114 milliwatts [mW] of power. The voltage across the resistor is 13 volts [V]. (a) What is the value of the resistance? Express your answer in units of ohms [Ω] using an appropriate SI prefix such that there are only one, two, or three digits shown to the left of the decimal. (b) What is the current through the resistor? Express your answer in units of amperes [A] using an appropriate SI prefix such that there are only one, two, or three digits shown to the left of the decimal.
A constant current transfers 10*10^14 electrons onto one plate of a capacitor in 3 minutes [min]. (a) What is the current, in units of amperes [A]? Express the answer using an appropriate SI prefix such that there are only 1, 2, or 3 digits shown to the left of the decimal. (b) If the capacitor has a capacitance of microfarads [F], what is the voltage in units of volts [V] across the capacitor?
In the circuit shown in figure 1, all the resistors are rated a maximum power of 1.00 W. What is the maximum emf epsilon that the battery can have without burning up any of the resistors?
Four resistors and a power supply are placed in a circuit as shown below. (a)What is the equivalent resistance (Req) ofthis circuit? (b)What is the total current ofthis circuit? (c)How much energy is consumed by this circuit in 12hours?
A circuit with a resistance R=64 omega is connected to a battery with potential difference across the terminals of deltaV=9.5 V. Part (a) input an expression for the current passing through the circuit, I. Part (b) What is the current in milliamps, mA? Part (c) If the resistance of the circuit was increased by a factor of ten, Rnew =10R, what is the new current in milliamps, mA?
An unloaded capacitor and a resistor are connected in series as in the figure. At t=0, the switch is closed. If E=36V, C=15 mF and R=24x105 ohm, the circuita) find the time constant the maximum charge on the capacitor and the maximum current in the circuit?b) Express the load and current as functions of time.
Given the table below, answer the questions: a.)For the same resistance of the circuit, what happens to the current as you increase the applied voltage? b.)For the same applied voltage, compare the current for the three resistance values used. c.)Superimpose plots of current versus voltage for the three resistance values (plot 1 is current vs voltage for 200 Ω, plot 2 is for 400 Ω, and plot 3 is for 600 Ω). Determine the slope of each plot. Which plot has the highest slope? d.)What is the mathematical relationship between the slope and the resistance?
A circuit with a resistance R = 88 Ω is connected to a battery with potential difference across the terminals of ΔV = 6.5 V. a. Input an expression for the current passing through the circuit, I. (b) What is the current in milliamps, mA? (c) If the resistance of the circuit was increased by a factor of ten, Rnew = 10R, what is the new current in milliamps, mA?

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