Exam 5: Electric Current and Direct-Current Circuits

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   The power dissipated in the 21- \Omega  resistor in this circuit is The power dissipated in the 21- Ω\Omega resistor in this circuit is

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Two pieces of copper wire have the same length, but wire A has a square cross section of width s whereas wire B has a circular cross section of diameter s. Which of the following statements is true?

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   In the diagram above, the voltage difference between a and b is 6 V. If R<sub>1</sub> = 25  \Omega , R<sub>3</sub> = 45  \Omega , and I = 0.095 A, then find the current flowing through R<sub>2</sub>. In the diagram above, the voltage difference between a and b is 6 V. If R1 = 25 Ω\Omega , R3 = 45 Ω\Omega , and I = 0.095 A, then find the current flowing through R2.

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A resistor develops heat at the rate of 20 W when the potential difference across its ends is 30 V. The resistance of the resistor is approximately

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In your four years at college you dry your hair everyday for 5 minutes with a 1200-W hairdryer. If the average price of electrical energy was $0.085 per kilowatt-hour, how much did it cost you during this time? (Assume 1 year = 365 days.)

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Lea charges a capacitor and then discharges it through a resistor. She notices that, after three time constants, the voltage across the capacitor has decreased to _____ of its value just prior to the initiation of the discharge.

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  The curve that best illustrates the relation between the current in a metallic conductor and the potential difference between its terminals is The curve that best illustrates the relation between the current in a metallic conductor and the potential difference between its terminals is

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  The power dissipated in the unknown resistor (R) is The power dissipated in the unknown resistor (R) is

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   In the above circuit,  \varepsilon <sub>1</sub> = 9 V,  \varepsilon <sub>2</sub> = 6 V, and  \varepsilon <sub>3</sub> = 6 V. Also R<sub>1</sub> = 25  \Omega , R<sub>2</sub> = 125 \Omega , and R<sub>3</sub> = 55 \Omega . Find the current flowing through R<sub>1</sub>. In the above circuit, ε\varepsilon 1 = 9 V, ε\varepsilon 2 = 6 V, and ε\varepsilon 3 = 6 V. Also R1 = 25 Ω\Omega , R2 = 125 Ω\Omega , and R3 = 55 Ω\Omega . Find the current flowing through R1.

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A wire of length L = 6.0 m has a uniform diameter d = 3.0 mm. When an electric field of E = 0.25 V/m is applied to the wire, the current is 1.5 A. The resistivity of the wire is

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  The graph shows the potential difference across a resistor as a function of the current through the resistor. The slope of the resulting curve represents The graph shows the potential difference across a resistor as a function of the current through the resistor. The slope of the resulting curve represents

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In a certain particle accelerator, a current of 300 μ\mu A is carried by a 4.00-MeV proton beam that has a radius of 1.30 mm. The mass of a proton is 1.67 * 10-27 kg. What is the number of protons per unit volume in this beam?

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  The current through the battery in the figure is approximately The current through the battery in the figure is approximately

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If 4.0 * 1018 electrons and 1.5 * 1018 protons move in opposite directions past a given cross section of a hydrogen discharge tube every second, the average current in the tube is

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An immersion heater of negligible mass draws a current of 7.5 A from a source with a potential difference of 120 V. The heater is in 0.950 m3 of water. The initial temperature of the water is 12.5ºC. How much time does it take to increase the temperature of the water to 27.5ºC? Neglect any heat loss. One calorie is equivalent to 4.18 J.

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A wire 10 m long with a diameter of 1.0 mm has a resistance of 5.0 Ω\Omega . The resistance of a second wire made of the same material, but 3.0 m long with a diameter of 4.0 mm, is approximately

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A motor running from a 220-V line is lifting a mass of 35 kg against Earth's gravity at a constant speed of 6.0 m/s. If we assume 100% efficiency, the current required is

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  The curve that best represents the current in a discharging RC circuit as a function of time is The curve that best represents the current in a discharging RC circuit as a function of time is

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The power dissipated in each of two resistors is the same. The potential drop across resistor A is twice that across resistor B. If the resistance of resistor B is R, what is the resistance of A?

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Wire A, which is of the same material and cross-sectional area as wire B, is twice as long as wire B. If the resistance of wire B is R, what is the resistance of wire A?

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