A wire carrying current \( I \) is bent in the shape \( A B C D E F...

A wire carrying current \( I \) is bent in the shape \( A B C D E F...

A wire carrying current \( I \) is bent in the shape \( A B C D E F A \) as shown, where rectangle ABCDA and ADEFA are perpendicular to each other. If the sides of the rectangles are of lengths \( a \) and \( b \), then the magnitude and direction of magnetic moment of the loop ABCDEFA is |JEE Main-2020 (September)| (1) abl, along \( \left(\frac{\hat{j}}{\sqrt{5}}+\frac{2 \hat{k}}{\sqrt{5}}\right) \) (2) \( \sqrt{2} \) abl, along \( \left(\frac{\hat{j}}{\sqrt{2}}+\frac{\hat{k}}{\sqrt{2}}\right) \) (3) abl, along \( \left(\frac{\hat{j}}{\sqrt{2}}+\frac{\hat{k}}{\sqrt{2}}\right) \) (4) \( \sqrt{2} \) abl, along \( \left(\frac{\hat{j}}{\sqrt{5}}+\frac{2 \hat{k}}{\sqrt{5}}\right) \) 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live