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b Determine an expression 5) A half-circular loop of wire (radius -R) has curren

ID: 1786375 • Letter: B

Question

b Determine an expression 5) A half-circular loop of wire (radius -R) has current I flowing along the wire. The wire extends along the x-y plane of a coordinate system such that the radial center of the half-loop is at the origin. Determine expressions for the magnitude of the magnetic force acting on the half-loop of wire under the following mutually exclusive conditions a) A uniform magnetic field having magnitude B is directed along the z-axis; and b) A long straight wire having the same current I extends along the z-axis.

Explanation / Answer

a) magnetic force on the semi circular loop, F = B*I*L*sin(theta)

= B*I*(pi*R)*sin(90)

= pi*B*I*R

b) magnetic force on the semi circular loop, F = B*I*L*sin(theta)

= B*I*(pi*R)*sin(0)

= 0