Circuit with Two Open and Closed Switches-Voltmeter Readings176 Shown below is a

Question

Circuit with Two Open and Closed Switches-Voltmeter Readings176 Shown below is a DC circuit that contains two switches. The resistance of each switch is negligible when closed. All of the connecting wires should be considered to have zero resista All of the resistors shown are identical. The circuit contains an ideal ammeter and an ideal voltmeter. The diagram shows the switches open. Beside the diagram are four different switch configurations for the circuit Rank these configurations from largest to smallest in terms of the voltmeter Configuration Open Closed Open Closed Closed Closed Smallest Largest 1, Or, all configurations produce the same voltmeter reading. Or, all configurations produce a zero voltmeter reading Please carefully explain your reasoning. How sure were you of your ranking? (circle one) Basically Guessed Sure Very Sure 10 176 L. Takahashi, C. Hieggelke Ranking Task Exercises in Physies: Student Edition 176

Explanation / Answer

Given is:-

1. Each switch has negligible resistance when closed

2. All the connecting wires have zero resistance.

3. Voltmeter across switch s1 is an ideal voltmeter (Infinite internal resistance hence no voltage drop across it)

Now,

we know that the the voltmeter reading shows the voltage drop between its connecting two terminals (V=I.R)

Since because of above three mentions points we can say that there is zero resistance between the voltmeter terminal therefore R=0. Thus there is no voltage drop and the voltmeter reading will be always zero in all the configurations.

So we can say that Rank of the all given four configurations in terms of voltmeter reading is irrevelent bacause voltmeter will give always zero reading in any configuration because it has zero resistance across its terminals

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