Question 1)

Two long parallel wires are separated by 20 cm and carry antieparallel currents as shown in the gure below. Image size: 5 M L Max Y Z X x = -10 x = +10 Part a (1 points) The wire on the left is located at m = 710 cm and carries a current 01'11 = 1.0 A in the +y direction. The wire on the right is located at z = +10 cm carries a current of 12 = 2.0 A in the 7y direction. Calculate the magnitude of the magnetic eld along the line that lies halfway between the two wires at I = 0. Give your answer in units of pT (microTesla). \fQuestion 13 This question contains multiple parts. Make sure to read all the instructions and answer each part, The needle of a certain magnetic compass has a magnetic dipole moment of 4.7 mJ/T. It is initially held so that it points south, in the opposite direction ofthe Earth's magnetic eld, which points north with strength 43 HT at the location of the compass. Part a (1 points) If the compass needle is allowed to swing freely after initially being held so that it points due south, it will rotate so that it points due north. How much energy will be released by the compass needle rotating from due south to due north? Please enter a numerical answer below, Accepted formats are numbers or "e' based scientic notation eg. 0.23, -2, lea, 5.23e-E Enter answer here HJ No answer submitted CHECK ANSWER O of Unlimited checks used Part b (1 points) The needles momentum causes it to overerotate until it points, briey, 38 degrees from north instead of stopping at due north, meaning it makes an angle of 38 degrees with the Earth's magnetic eld. What is the net energy released starting from when the compass needle pointed due south until it points at an angle 38 degrees from north? Please enter a numerical answer below, Accepted formats are numbers or "e' based scientic notation 6.9. 0.23, *2, ie, 5.23erE Enter answer here \"J