Two copper wires A and B have the same length and are connectedacross the same battery. If RB = 2RA, find (a) the ratio oftheir cross - sectional areas, AB /AA, (b) the ratio of their resistivities,ρB /ρA, and (c) the ratio of the currents in each wire, IB /IA.

Two copper wires A and B have the same length and are connectedacross the same battery. If RB = 2RA, find (a) the ratio oftheir cross - sectional areas, AB /AA, (b) the ratio of their resistivities,ρB /ρA, and (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 31P: Consider a wire of a circular cross-section with a radius of R = 3.00mm. The magnitude of the...

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Question

Two copper wires A and B have the same length and are connected
across the same battery. If R_B = 2R_A, find (a) the ratio of
their cross - sectional areas, A_B /A_A, (b) the ratio of their resistivities,
ρ_B /ρ_A, and (c) the ratio of the currents in each wire, I_B /I_A.

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