Exam 21: Current and Direct Current Circuits

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At t = 0 the switch S is closed with the capacitor uncharged.If C = 40 μ\mu F, ε\varepsilon = 50 V,and R = 5.0 k Ω\Omega ,how much energy is stored by the capacitor when I = 2.0 mA?  At t = 0 the switch S is closed with the capacitor uncharged.If C = 40  \mu F, \varepsilon  = 50 V,and R = 5.0 k \Omega ,how much energy is stored by the capacitor when I = 2.0 mA?

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A rod of 2.0-m length and a square (2.0 mm *2.0 mm)cross section is made of a material with a resistivity of 6.0 *10 - 8 Ω\Omega . m.If a potential difference of 0.50 V is placed across the ends of the rod,at what rate is heat generated in the rod?

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The circuit below shows three resistors in parallel.R3 > R2 > R1.The resistors are all made of the same wire with the same diameter but have different lengths.Rank the magnitudes of the electric fields in the resistors from least to greatest. The circuit below shows three resistors in parallel.R<sub>3</sub> > R<sub>2</sub> > R<sub>1</sub>.The resistors are all made of the same wire with the same diameter but have different lengths.Rank the magnitudes of the electric fields in the resistors from least to greatest.

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At what rate is thermal energy generated in the 20- Ω\Omega resistor when ε\varepsilon = 20 V?  At what rate is thermal energy generated in the 20-  \Omega resistor when  \varepsilon  = 20 V?

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The heating coil of a hot water heater has a resistance of 20 ohms and operates at 210 V.If electrical energy costs 5.5 cents per kW-hr,what does it cost to raise the 200 kg of water in the tank from 15 °\degree C to 80 °\degree C? (The specific heat of water is 4 186 J/kg °\degree C)

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The circuit below contains three 100-W light bulbs.The emf ε\varepsilon = 110 V.Which light bulb(s)is(are)brightest?  The circuit below contains three 100-W light bulbs.The emf  \varepsilon  = 110 V.Which light bulb(s)is(are)brightest?

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What is the current in the 15- Ω\Omega resistor when ε\varepsilon = 9.0 V?  What is the current in the 15-  \Omega   resistor when  \varepsilon  = 9.0 V?

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A resistor of unknown resistance and a 15- Ω\Omega resistor are connected across a 20-V emf in such a way that a 2.0 A current is observed in the emf.What is the value of the unknown resistance?

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When a capacitor is fully charged,the current through the capacitor in a direct-current circuit is

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When a 20-V emf is placed across two resistors in series,a current of 2.0 A is present in each of the resistors.When the same emf is placed across the same two resistors in parallel,the current through the emf is 10 A.What is the magnitude of the greater of the two resistances?

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To increase the current density in a wire of length \ell and diameter D,you can

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A high-resistance material is used as an insulator between the conductors of a length of coaxial cable.The resistance material,which forms a hollow tube,has an inner radius a and an outer radius b,and the insulator provides a resistance R between the conductors.If a second insulator,made of the same material and having the same length,is made with double both the inner radius and the outer radius of the first,what resistance would it provide between the conductors?

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A light bulb is rated at 30 W when operated at 120 V.How much charge enters (and leaves)the light bulb in 1.0 min?

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At t = 0 the switch S is closed with the capacitor uncharged.If C = 30 μ\mu F, ε\varepsilon = 30 V,and R = 5.0 k Ω\Omega ,at what rate is energy being stored in the capacitor when I = 2.0 mA?  At t = 0 the switch S is closed with the capacitor uncharged.If C = 30  \mu F, \varepsilon = 30 V,and R = 5.0 k \Omega ,at what rate is energy being stored in the capacitor when I = 2.0 mA?

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If Q = 350 μ\mu C and I = 4.0 mA in the circuit segment shown below,determine the potential difference,VA - VB.  If Q = 350  \mu C and I = 4.0 mA in the circuit segment shown below,determine the potential difference,V<sub>A</sub> - V<sub>B</sub>.

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Determine ε\varepsilon when I = 0.50 A and R = 12 Ω\Omega .  Determine  \varepsilon  when I = 0.50 A and R = 12   \Omega  .

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A 5000- Ω\Omega resistor and a 50- μ\mu F capacitor are connected in series at t = 0 with a 6-V battery.The capacitor is initially uncharged.What is the current in the circuit at t = 0? At t = 0.5 s? What is the maximum charge stored on the capacitor?

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At t = 0 the switch S is closed with the capacitor uncharged.If C = 50 μ\mu F, ε\varepsilon = 20 V,and R = 4.0 k Ω\Omega ,what is the charge on the capacitor when I = 2.0 mA?  At t = 0 the switch S is closed with the capacitor uncharged.If C = 50  \mu F, \varepsilon  = 20 V,and R = 4.0 k \Omega ,what is the charge on the capacitor when I = 2.0 mA?

(Multiple Choice)
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If R1 = 3.0 Ω\Omega ,R2 = 6.0 Ω\Omega ,R3 = 12 Ω\Omega ,and I = 0.50 A,at what rate is heat being generated in R1?  If R<sub>1</sub> = 3.0  \Omega ,R<sub>2</sub> = 6.0  \Omega ,R<sub>3</sub> = 12  \Omega ,and I = 0.50 A,at what rate is heat being generated in R<sub>1</sub>?

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An initially uncharged 10- μ\mu F capacitor is charged by a 10-V battery through a resistance R.The capacitor reaches a potential difference of 4 V in a period of 3 s after the charging began.Find the value of R.

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