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Chapter 19: Q31P (page 797)
The capacitor in Figure 19.67 is initially uncharged, then the circuit is connected. Which graph in Figure 19.66 best describes the absolute value of the charge on the left plate as a function of time?
Figure (c) best depicts the charge on the left plate of the capacitor.
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A circuit consists of two batteries (with negligible internal resistance), five ohmic resistors (Figure 19.88). The connecting wires that have negligible resistance. The letters A through are shown to make it possible to refer to specific parts of the circuit.
(a) Write all the equations necessary to solve for the unknown currents , , , and , whose directions are indicated on the circuit diagram. Do not solve the equations but do explain very clearly what your equations are based on and to what they refer.
Assume that a computer program has solved your equations in terms of known battery voltages and known resistances so that the currents , , ,and are are known. (b) In terms of known quantities calculate and check that your sign makes sense. (c) In terms of known quantities, calculate the power produced in battery number 2.
Should an ammeter have a low or high resistance? Why? Should a voltmeter have a low or high resistance? Why?
Using thick connecting wires that are very good conductors, a Nichrome wire (“wire 1”) of length L1 and cross-sectional area A1 is connected in series with a battery and an ammeter (this is circuit 1). The reading on the ammeter is I1. Now the Nichrome wire is removed and replaced with a different wire (“wire 2”), which is 2.5 times as long and has 5.5 times the cross-sectional area of the original wire (this is circuit 2). In the following question, a subscript 1 refers to circuit 1, and a subscript 2 refers to circuit 2. It will be helpful to write out your solutions to the following questions algebraically before doing numerical calculations. (Hint: Think about what is the same in these two circuits.)(a) What is the value of I2/ I1, the ratio of the conventional currents in the two circuits? (b) What is the value of R2/ R1, the ratio of the resistances of the wires? (c) What is the value of E2/ E1, the ratio of the electric fields inside the wires in the steady states?
Why can birds perch on the bare wire of a power line without being electrocuted?
When a single thin-filament bulb is connected to a battery, the current through the battery is aboutIf you add another thin-filament bulb in parallel, the battery current of course increase to. Is the battery ohmic? That is, is the current through the battery proportional to the potential difference across the battery?
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