a) Two long parallel wires are 1 centimeter apart and carry currents in the same

Question

a) Two long parallel wires are 1 centimeter apart and carry currents in the same direction. One current is 20 amps, the other 5 amps. Calculate the magnitude of the magnetic field at a location directly between the two wires. O 5.0 E-4 Tesla O 3.0 E-4 Tesla O 3.8 E-3 Tesla O 6.0 E-4 Tesla O 1.0 E-3 Tesla b) Two long parallel wires are 1 centimeter apart and carry currents in the same direction. One current is 20 amps, the other 5 amps. Calculate the magnitude of the force that the 20A wire exerts on 2 centimeters of the 5A wire. 4.0 E-5 Newtons 3.0 E-4 Newtons 5.0 E-4 Newtons 1.0 E-5 Newtons 2.0 E-3 Newtons

Explanation / Answer

a) Magnetic Field= mu not*I/2*pi*r +mu not*I/2*pi*r

4*pi*10^-7*20/2*pi*0.005 + 4*pi*10^-7*5/2*pi*0.005 = 0.0008+ 0.0002= 0.001 T = 1*10^-3 T (Last option)

b) Force= mu not I1*I2/2*pi*r= 4*pi*20*5/(2*pi*0.01) = 0.002 N = 2*10^-3 N (last option)

c) qvB= mv^2/r

v=qBr/m = 1.6*10^-19*2.4*(4.2*10^-2)/(1.67*10^-27) = 9657485.029= 9.66*10^6 m/s last option

d) B= mu not N I/L

0.3= 4*pi*10^-7*N*20/0.9

N= 10742 =1.07*10^4 = 1.1*10^4 Option (B)

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