First person to get all correct gets full points! A long pair of insulated wires
ID: 3897693 • Letter: F
Question
First person to get all correct gets full points!
A long pair of insulated wires serves to conduct 24.5 A of dc current to and from an instrument. A third wire is placed in the plane of the two wires shown in (Figure 1) parallel and just to the right. If it carries 23.0 A upward, what force per meter of length does it exert on each of the other two wires? Assume it is 2.8 mm from the nearest wire, center to center. A thin 16-cm solenoid has a total of 460 turns of wire and carries a current of 2.1.A. Determine the force per meter exerted by the third wire on the right wire shown in the figure. Express your answer using two significant figures. Determine the force per meter exerted by the third wire on the left wire shown in the figure. Express your answer using two significant figures. Determine the direction of the force exerted by the third wire on the left wire shown in the figure.Explanation / Answer
F/L is given by the formula
F/L = U0 * I1 *I2 /(2pi*dl)
where U0 = 4pi*10^-7
So using this formula we calculate the parts
PART A
F/Lright = 4pi*10^-7 *24.5*23 /2pi(10-0.14)*10^-2 ) = 1.1429 *10^-3 N/m =1.1*10^-3 N/m (rounded off)
PART C
F/Lright = 4pi*10^-7 *24.5*23 /(2pi*(10+0.14)*10^-2 ) = 1.11 *10^-3 N/m =1.1*10^-3 N/m (rounded off)
PART D
According to lenz's law the force must be to the left as the current are in the opposite directions.
PROBLEM 20.44
PART A
B= U0*N*I/L = 4pi*10^-7*460*2.1/0.16 = 7.58*10^-3 T
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