Question

In: Physics

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 Fad, from I1 on wire AD in terms of I1, I2,d and the loop dimensions.

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

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

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

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

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

Part (g) The forces of Fadand Fbc 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 = Fad -Fbc 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 2 years ago
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