Consider a very long cylindrical wire of radius R = 3 cm carrying a constant current ofI1= 10 A.||Part (a). Calculate the magnitude of Magnetic field at a distance d11.5 cm from the axis ofthe wire (observe that this location is inside the wire) and far away from the edges of the wire.I,I dsRdzI.2Part (b). Now imagine another very long (and much thinner) conductor placed parallel to the first6 A. This conductor is placed atconductor. This conductor is carrying a constant current o I2a distance of d2 = 7 cm from the first conductor (parallel to the fırst). Assume that bothconductors are 100 m long.What is the magnitude of magnetic force on this second conductor due to the first conductor?Part (c). What is the direction of the magnetic force on 2 due to 1?

let us consider a long wire of radius, R=3 cm=0.03 m Current through cylinder, I1=10 A The current density is given by, J=I1πR2 =103.14×0.032 =3538.57 A/m2 From the Ampere's circuital law, we get∮B→.dl→=μ0IenHere the magnetic field is to be determined at a distance d1=1.5 cm=0.015 mamount of current enclosed within d1Ien=JA =J πd12 =I1πR2πd12 =I1 d12R2Ien=10×0.01520.032 =2.5 A ∮ B→.dl→=μ0IenB.2πd1=μ0IenB=μ0Ien2πd1=2×10-7×2.51.5×10-2=3.33×10-5 TThe magnetic field produced is, B=3.33×10-5T b) The magnetic force on the 2nd loop due to the 1st loop is to be found, I2=6Ad2=7 cm=0.07 mmagnetic field on I2 due to I1 is B(z direction)F=I2L→×B→ ( L is in the x-direction) =I2LB x^×z^ =-6×100×3.33×10-5y =-0.01998 y^Nb) The direction is negative y-direction that is negative sign: The force acting on wire 2 due to wire 1 is 0.0198 N c) The direction of force is downwards or in the negative y-direction. Answer: a) The magnetic field, B=3.33×10-5Tb) The force, F=0.0198 Nc) direction of force negative y-direction (force is acting on wire 2 due to wire 1)

Answered: Consider a very long cylindrical wire…

Consider a very long cylindrical wire of radius R=3 cm carrying a constant current of I = 10 A. %3D Part (a). Calculate the magnitude of Magnetic field at a distance d1 1.5 cm from the the wire (observe that this location is inside the wire) and far away from the edges of the I, R dz