6. Consider the circuit shown to the right. What is thecurrent flowing through the battery, Ipat, in terms of thecurrent through the smaller resistor I,?2R3RIpatww

Answered: 6. Consider the circuit shown to the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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6. Consider the circuit shown to the right. What is the
current flowing through the battery, Ipat, in terms of the
current through the smaller resistor I,?
2R
3R
Ipat
ww

Expert Solution

Step 1

Here two resistances of values 2R and 3R and connected in parallel. The current from the battery gets divided and I₁ current flows through the battery of resistance 2R and lest us assume x current flows through the resistance 3R.

The voltage drop across both the resistance should be same as they are connected in parallel.

$∴ 2 R \times I_{1} = x \times 3 R \equiv x = \frac{2}{3} I_{1} ∴ I_{b a t} = I_{1} + \frac{2}{3} I_{1} = \frac{5}{3} I_{1}$

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