An infinitely long single wire with current I1 = 6.5 A and a rectangular wire loop with current I2 = 0.65 A are in the same plane as shown.

Problem 7: sig.gif?tid=5T88-93-8E-48-A2CA-24001

An infinitely long single wire with current I₁ = 6.5 A and a rectangular wire loop with current I₂ = 0.65 A are in the same plane as shown. The dimensions of the loop are a = 0.032 m and b = 0.173 m. The infinite wire is parallel to side AD of the loop and at a distance d = 0.17 m from it.

* P Y VI SA

Part (a) Express the magnitude of the magnetic force F_ad, from I₁ on wire AD in terms of I₁, I₂,d and the loop dimensions.

Part (b) Calculate the numerical value ofF_ad in N.

Part (c) Express the magnitude of the magnetic force F_bc, from I₁ on wire BC in terms of I₁, I₂,a, b, and d.

Part (d) Calculate the numerical value ofF_bc in N.

Part (e) Is the force ofF_ad repulsive or attractive?

Part (f) Is the force ofF_bc repulsive or attractive?

Part (g) The forces of F_adand F_bc both act on the infinite wireI₁. Do they sum to produce a net attractive or repulsive force?

Part (h) Calculate the numerical value of the sum of the forces F = F_ad -F_bc on the infinite wire in N.

Solutions

Expert Solution

The force between two parallel conductors is

The force on side AD is

Fad =4x3.14x10E-7x6.5x0.65x0.173/2x0.17

Fad = 27.0x10-7 N

The force on side BC is

Fbc =22.72x10-7 N

The net force is attrative towards left. The net force is Fnet = (27-22.72)x10-7 = 4.28x10-7 N

genius_generous answered 1 year ago

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