A wire of mass 10 g hangs below a 1.5 V battery. as shown in the diagram. The re
ID: 1391961 • Letter: A
Question
A wire of mass 10 g hangs below a 1.5 V battery. as shown in the diagram. The resistance of the wire is 0.5 Ohm. Throughout the region there is a uniform magnetic field of 0.13 T pointing upward as shown. (a) Calculate the magnetic force on the wire. You may either specify a coordinate system and give the force as a vector, or you may specify magnitude and direction separately. Show your work. (b) On the diagram show the magnetic force you calculated in part (a). Label this force Fmag (c) Is this force large enough to move the wire noticeably when the circuit is connected? Give as quantitative an answer as possible.Explanation / Answer
a) There is force in the 3 cm segment because the other are parallel to the magnetic field.
F = ILB = (V/R)LB = (1.5/0.5)(0.03)(0.13) = 0.0117 N
by the right hand rule: Direction into the page.
b) the magentic force is x diagram
c) the accerelation of the wire is: a= F/m = 1.17 m/s2
in one second it moves 0.57 m it is noticeably