A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis

Name: Problem 6, Chapter 4: NCERT Class 12 Part 1 - Physics
Uploaded: 2021-06-05T04:53:26-08:00
Duration: 1 min 5 s
Channel: Ajay Singhal
Description: A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 0.27 T. What is the magnetic force on the wire?

step 1 So this question belongs to the magnetic force in which we have a wire of length L equals to 3 .

Question

A $3.0 \mathrm{~cm}$ wire carrying a current of $10 \mathrm{~A}$ is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be $0.27 \mathrm{~T}$. What is the magnetic force on the wire?

   A $3.0 \mathrm{~cm}$ wire carrying a current of $10 \mathrm{~A}$ is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be $0.27 \mathrm{~T}$. What is the magnetic force on the wire?

NCERT Class 12 Part 1 - Physics

Peyyeti Rajakumar,… 1st Edition

Chapter 4, Problem 6

Instant Answer

Solved by Expert Ajay Singhal

06/05/2021

Step 1

We know that 1 cm = 0.01 m. So, the length of the wire L in meters is: \[L = 3.0 \, \text{cm} \times 0.01 \, \text{m/cm} = 0.03 \, \text{m}\] Show more…

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A $3.0 \mathrm{~cm}$ wire carrying a current of $10 \mathrm{~A}$ is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be $0.27 \mathrm{~T}$. What is the magnetic force on the wire?

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Key Concepts

Uniform Magnetic Field in a Solenoid

A solenoid is essentially a long coil of wire that produces a nearly uniform magnetic field inside when an electric current flows through it. The uniformity of the magnetic field simplifies the calculation of forces on conductors placed within it. Understanding how the magnetic field is established and maintained in a solenoid is crucial for problems that involve magnetic interactions in controlled environments.

Magnetic Force on a Current-Carrying Conductor

This concept states that a conductor carrying an electric current experiences a force when placed in a magnetic field. The force is given by the equation F = I L B sin?, where I is the current, L is the length of the conductor in the magnetic field, B is the magnetic field strength, and ? is the angle between the direction of the current and the magnetic field. This principle is fundamental in the design and operation of devices such as electric motors and generators.

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