(Solved): (Figure 1) shows an end view of two long, parallel wires perpendicular to the xy-plane, each carryin ...

(Figure 1) shows an end view of two long, parallel wires perpendicular to the xy-plane, each carrying a current \( I \), but in opposite directions. Draw vectors to show the \( \vec{B} \) field of each wire and the net \( \vec{B} \) field at point \( P \). Draw the force vectors with their tails at the point \( P \). The orientation of your vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded. No elements selected Select the elements from the list and add them to the carvas setting the appropriate attributes Derive the expression for the magnitude of \( \vec{B} \) at any point on the \( x \)-axis in terms of the \( x \)-coordinate of the point. Express your answer in terms of the variables \( x, a, I \), and magnetic constant \( \mu_{0} \). Part C What is the direction of \( \vec{B} \) ? positive \( x \)-direction negative \( x \)-direction positive \( y \)-direction negative \( y \)-direction Part D At what value of \( x \) is the magnitude of \( \vec{B} \) a maximum? Express your answer in terms of \( a \). At what value of \( x \) is the magnitude of \( \vec{B} \) a maximum? Express your answer in terms of \( a \). Part E What is the magnitude of \( \vec{B} \) when \( x \gg a \) ? Express your answer in terms of the variables \( x, a, I \), and magnetic constant \( \mu_{0} \).