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In given figure, a wire loop has been bent so that it has three segments: segment \(a b\) (a quarter circle), \(b c\) (a square corner), and \(c a\) (straight). Here are three choices for a magnetic field through the loop

1. \(\vec{B}_1=3 \hat{i}+7 \hat{j}-5 t \hat{k}\)2. \(\vec{B}_2=5 t \hat{i}-4 \hat{j}-15 \hat{k}\)3. \(\vec{B}_3=2 \hat{i}-5 t \hat{j}-12 \hat{k}\)
where \(\vec{B}\) is in milliteslas and \(t\) is in seconds. If the induced current in the loop due to \(\vec{B}_1, \vec{B}_2\) and \(\vec{B}_3\) are \(i_1, i_2\) and \(i_3\) respectively then  📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live