Question

The forces existing between two parallel current carrying conductors is $\mathrm{F}$. If the current in each conductor is doubled, then the value of force will be (a) $2 \mathrm{~F}$ (b) $4 \mathrm{~F}$ (c) $5 \mathrm{~F}$ (d) $(\mathrm{F} / 2)$

Name: Problem 1919, Chapter 13: JEE Physics
Uploaded: 2021-10-02T09:32:02-08:00
Duration: 1 min 21 s
Channel: Narayan Hari
Description: The forces existing between two parallel current carrying conductors is F. If the current in each conductor is doubled, then the value of force will be (a) 2 F (b) 4 F (c) 5 F (d) (F / 2)

   The forces existing between two parallel current carrying conductors is $\mathrm{F}$. If the current in each conductor is doubled, then the value of force will be
(a) $2 \mathrm{~F}$
(b) $4 \mathrm{~F}$
(c) $5 \mathrm{~F}$
(d) $(\mathrm{F} / 2)$

JEE Physics

StemEZ 1st Edition

Chapter 13, Problem 1919

Instant Answer

Solved by Expert Narayan Hari

10/02/2021

Step 1

Step 1: The force between two parallel current carrying conductors is given by the formula: \[ F = \frac{{\mu_0 I_1 I_2 L}}{{2\pi d}} \] where $ F $ is the force, $ \mu_0 $ is the permeability of free space, $ I_1 $ and $ I_2 $ are the currents in the two Show more…

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The forces existing between two parallel current carrying conductors is $\mathrm{F}$. If the current in each conductor is doubled, then the value of force will be (a) $2 \mathrm{~F}$ (b) $4 \mathrm{~F}$ (c) $5 \mathrm{~F}$ (d) $(\mathrm{F} / 2)$

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Key Concepts

Ampère's Force Law

Ampère's force law explains that the force per unit length between two parallel current-carrying conductors is proportional to the product of the currents in the conductors. This principle is used to understand how variations in current will affect the force, such as when doubling the currents, the force increases by a factor equal to the product of the changes in the two currents.

Proportional Relationships in Electromagnetic Interactions

In electromagnetic interactions, many quantities depend proportionally on the involved parameters. In the case of the force between two conductors, because the force is directly proportional to the product of the currents, any change in the current amplitude leads to a predictable change in the force, illustrating the concept of proportional scaling in physics.

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