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Question

Question 32
How will you infer with the help of an experiment that the same current flows through every part of the circuit containing three resistances in series connected to a battery?

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Solution

Charge flows together through the external circuit at a rate that is everywhere the same. The current is no greater at one location as it is at another location. The actual amount of current varies inversely with the amount of overall resistance. There is a clear relationship between the resistance of the individual resistors and the overall resistance of the collection of resistors. As far as the battery that is pumping the charge is concerned, the presence of two 6-Ω resistors in series would be equivalent to having one 12-Ω resistor in the circuit. The presence of three 6-Ω resistors in series would be equivalent to having one 18-Ω resistor in the circuit. And the presence of four 6-Ω resistors in series would be equivalent to having one 24-Ω resistor in the circuit.

Current flows in a circuit, in other words, it is the rate of flow of electric charges. Other than i=dqdt , current is also given by i = AEvd which says that it depends upon the drift velocity of electrons. The drift velocity is the average velocity between two successive collisions. This velocity prevents the electrons from accelerating continuously.

Let's consider a circuit with three resistors with resistances in an increasing order R1 > R2 > R3. First, current enters R1. After some collisions (causes heat generation), it exits the resistor. Now, the same current enters and exits R2 & R3 in the same manner. One point is to notice that, the rate of flow of charges is always the same (the current entered and exited the resistors with the same magnitude). Only the drift velocities vary in different resistors.


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