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…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 43P: Consider the circuit shown below. Write equations for the three currents in terms of R and V.

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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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