A 4-mC point charge moving with a speed V= - 80Î+120j Respect to an endless wire vertical, which...

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A 4-mC point charge moving with a speed V= - 80Î+120j Respect to an endless wire vertical, which carries a current of 3 A as shown in Fig. If the distance between the load and the wire is 7 mm, determining the magnetic force:    	on The charge. 	b) On the wire  2- A conducting loop, which has the shape of an equilateral triangle, is placed within a magnetic field of magnitude equal to 0.6 T, as shown in Fig. If the legs of the triangle are 20 cm and the current I = 8 A, find the magnetic force on each section of the wire. 	A lead wire form concentric semicircles of radius a = 4 cm and b = 7 cm. Using the Biot-Savart law, calculate the magnetic field in the center of the semicircle if the current flowing through them is 3.5 A.  4-A solenoid 10 cm diameter and 75 cm long is made of copper wire with a diameter of 1 mm. The wire is wound on a cardboard tube forming a single layer. Each wire loop is adjacent to the next round, as shown in Fig. What power P should be applied to the solenoid so that the center generates a magnetic field of 12 milli-Tesla? Remember that power is measured in Watts.5-A coil of 800 turns has a circular shape whose diameter is 15 cm. A magnetic field incident perpendicular to the coil and varies with time according to the function B= 0.75t Tesla. Determining the emf induced in the coil and the current through it if the resistance of the coil is 3 Ohms.6-A rectangular loop with sides a = 12 cm and b = 8 cm moves to the right with a speed of 5 m / s, leaving a magnetic field of constant magnitude equal to 0.4 Tesla. Calculate the emf induced in the wire and the direction of the induced current.
	
Document Preview: A 4-mC point charge moving with a speed  V= - 80Î+120j Respect to an endless wire vertical, which carries a current of 3 A as shown in Fig. If the distance between the load and the wire is 7 mm, determining the magnetic force:on The charge.b) On the wire2- A conducting loop, which has the shape of an equilateral triangle, is placed within a magnetic field of magnitude equal to 0.6 T, as shown in Fig. If the legs of the triangle are 20 cm and the current I = 8 A, find the magnetic force on each section of the wire.A lead wire form concentric semicircles of radius a = 4 cm and b = 7 cm. Using the Biot-Savart law, calculate the magnetic field in the center of the semicircle if the current flowing through them is 3.5 A.4-A solenoid 10 cm diameter and 75 cm long is made of copper wire with a diameter of 1 mm. The wire is wound on a cardboard tube forming a single layer. Each wire loop is adjacent to the next round, as shown in Fig. What power P should be applied to the solenoid so that the center generates a magnetic field of 12 milli-Tesla? Remember that power is measured in Watts.5-A coil of 800 turns has a circular shape whose diameter is 15 cm. A magnetic field incident perpendicular to the coil and varies with time according to the function B= 0.75t Tesla. Determining the emf induced in the coil and the current through it if the resistance of the coil is 3 Ohms.6-A rectangular loop with sides a = 12 cm and b = 8 cm moves to the right with a speed of 5 m / s, leaving a magnetic field of constant magnitude equal to 0.4 Tesla. Calculate the emf induced in the wire and the direction of the induced current.

David · Accepted Answer

1- A 4-mC point charge moving with a speed  V= - 80Î+120ĵ Respect to an endless wire vertical, 
which carries a current of 3 A as shown in Fig. If the distance between the load and the wire is 7 
mm, determining the magnetic force: 
a) on The charge. 
b) b) On the wire
a) Force on the charge F = Q (V  X  B)  (As shown in the figure below) 
B = µi/2πd (- ̂) = 
   (    )  
         
 (- ̂) =
 
      (- ̂) Tesla
V = - 80Î+120ĵ m/sec 
F =           (- 80Î+120ĵ) X (
 
 
      (- ̂)) 
=  
  
 
      (    ̂    ̂) Newtons  
Force magnitude =
b) .
The magnetic field due to the charge at a point (d,y) on the rod is 
 (   )  
   ̂  ̂
    
 
  (    ̂      )̂ (  ̂    ̂)
  (     )
 
 
 
  (        )(  ̂)
  (     )
 

The force on the wire at the point (d,y) due to the magnetic field B(d,y) is  
  (   )     (      (   ))     (      (   ))    
     (  )̂   (        )(  ̂)
  (     )
 
 
    
      (        )( ̂)
  (     )
 

Total force is ∫   (   )     ∫  
      (        )( ̂)
  (     )
 
 
 

  

   
( ̂)
         
           ( ̂)
(Note : for the integral replacing y with       and integrating from -90 deg to 90 deg implifies the 
integral.)
2- A conducting loop, which has the shape of an equilateral triangle, is placed within a magnetic field 
of magnitude equal to 0.6 T, as shown in Fig. If the legs of the triangle are 20 cm and the current I = 
8 A, find the magnetic force on each section of the wire.

A 4-mC point charge moving with a speed V= - 80Î+120j Respect to an endless wire vertical, which carries a current of 3 A as shown in Fig. If the distance between the load and the wire is 7 mm,...

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