Two copper wires A and B have the same length and are connected across the same battery. If RB = 9RA, determine the following. HINT (a) the ratio of their cross-sectional areas AB AA = (b) the ratio of their resistivities PB PA (c) the ratio of the currents in each wire IB IA =

Two copper wires A and B have the same length and are connected across the same battery. If RB = 9RA, determine the following. HINT (a) the ratio of their cross-sectional areas AB AA = (b) the ratio of their resistivities PB PA (c) the ratio of the currents in each wire IB IA =

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 42P: What current flows through a 2.54-cm-diameter rod of Pure silicon that is 20.0 cm long, when 1.00103...

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Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

=
Two copper wires A and B have the same length and are connected across the same battery. If RB
HINT
(a) the ratio of their cross-sectional areas
AB
AA
(b) the ratio of their resistivities
PB
PA
(c) the ratio of the currents in each wire
IB
IA
=
9R, determine the following.

Expert Solution

Step 1

Given:-

Two copper wires A and B have the same length L and they are connected across the same battery of voltage V.

The Relation between the resistance of R_A and R_B is as

$R_{B} = 9 R_{A}$

Find:-

a) The ratio of their cross-sectional area

b) The ratio of their Resistivity

c) The ratio of the current in each wire

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