1. Consider a long straight wire carrying a current, 1. Using the Biot-Savart law nd the magnetic field at a point, P, near the wire far from the ends. P 0 Start by choosing a small length of the wire (not directly below the point) and sketch the necessary diagram on the wire above. 0 What is the direction of the magnetic eld at P due to your small wire element? 0 Does the direction of the magnetic eld at P depend on the location of your wire element? Explain/show. 0 Using the Biot-Savart law, write an expression for the contribution, dB, from your element, dl. 0 Do not leave the cross product. Express dB in terms of the angle associated with the cross product. 0 Solve the integral. You can solve in one of two ways. 0 Express everything in terms of linear quantities, i.e. x and y like variables and integrate along the wire. What would the limits be? 0 Change of variables to the angle and integrate. What would the limits be? 2. Two wires shown below carry currents in the direction indicated by the arrows. 11 carries a current of 2A and 12 carries a current of 1.5A. The radius of curvature for the arcs in the wires is 10cm. What is the magnetic eld at point P