Asolenoid of length 2.50 m and radius 1.70 cm carries a current of 0.110 a. determine the magnitude of the magnetic field inside if the solenoid consists of 2200 turns of wire.

magnetic field is 0.122 mT

Explanation:

Given data

length = 2.50 m

radius = 1.70 cm

current = 0.110 A

turns of wire = 2200

to find out

magnitude of the magnetic field

solution

we know the relation of current turn and length with magnetic field i.e

magnetic field = ( μ × turn × current ) / length

here μ is permeability

magnetic field = ( μ × turn × current ) / length

magnetic field = ( 4π × × 2200 × 0.110) / 2.50

magnetic field = ( 4π × × 2200 × 0.110) / 2.50

magnetic field =  0.000122

so magnetic field is 0.122 mT

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.