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Estimating the Free Electron Density in Aluminum Using the free electron model described above, estimate the free electron density in aluminum, given that the density of aluminum is ρ_A1=2.7×〖10〗^3 kg/m^3.

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Thermodynamics

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Power Rating of a Light Bulb The antique 30.0 W light bulb in Figure 23-11(a) was designed to be connected to a 200.V battery. What is the power output of this light bulb when it is operated by a 100.V battery (Figure 23-11(b))?

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Thermodynamics

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Evaluating the Impact of an Ammeter and a Voltmeter on an Electric Circuit Figure 23-14 shows an electric circuit consisting of a 12.00 V voltage source and 40.00 Ω light bulb. To measure the current through the light bulb and the potential difference across it, you decide to use an ammeter and a voltmeter. The internal resistance of the ammeter you are using is 0.1000 Ω and that of the voltmeter is 1000. Ω. Calculate the impact of the meters on your circuit.

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Thermodynamics

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Resistors in Series and in Parallel Two different combinations of resistors are shown in Figure 23-18. Each combination is then connected to a 12.0 V battery, which is connected to points A and B, respectively. The current through the battery in the first circuit is twice the current in the second circuit. (a) What is the value of R in the second circuit? (b) Find the current in each branch of the two circuits.

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Thermodynamics

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Analyzing a Compound Electric Circuit Figure 23-19(a) shows a compound electric circuit that has nine identical 2.0 Ω resistors connected to a 12 V ideal battery. (a) Find the equivalent resistance for the circuit. (b) Find the total electric current flowing from the battery. (c) Identify the resistors that have the greatest potential difference across them.

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Thermodynamics

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Charging a Capacitor A 500.μF Capacitor is connected to a 9.00 V battery through a 2.00 kΩ resistor, thus completing a simple RC series circuit. How long does it take for the capacitor to reach 99% of q_max? Express your answer in terms of the time constant, τ. Assume that 99% is an exact quantity. How much charge will have accumulated on the capacitor’s plates when t_1=τ,t_2=2τ,and t_3=3τ? Find the current in the circuit at the times in part (b).

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Thermodynamics

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Applying Ohm’s Law to a Current-Carrying Wire A potential difference of 100 mV is applied across a 5.00 m long conducting wire that has a diameter of 0.50 mm. The resulting electric current is 66.7 mA. Find the resistance of the wire. Find the resistivity of the wire, and suggest what metal it could be made of.

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Thermodynamics

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Analyzing a Multi-loop and Multi-battery Electric Circuit Assume that the components in Figure 23-21 have the following values: ε_1=10.V; ε_2=15 V ((ideal batteries) R_1=5.0 Ω; R_2=10.Ω; R_3=15; R_4=20. Ω Find the current through each branch of the circuit. Find the potential difference across each circuit element. How will your answers to parts (a) and (b) differ if the batteries are real batteries? Analyzing a Multi-loop and Multi-battery Electric Circuit Assume that the components in Figure 23-21 have the following values: ε_1=10.V; ε_2=15 V ((ideal batteries) R_1=5.0 Ω; R_2=10.Ω; R_3=15; R_4=20. Ω Find the current through each branch of the circuit. Find the potential difference across each circuit element. How will your answers to parts (a) and (b) differ if the batteries are real batteries?

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Thermodynamics

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