Problem $5$: $(13\%$ of Assignment Value$)$

A rod AB with length $L=0\mathrm{.}125m$ is lying on a rectangular conducting loop of zero resistance in a magnetic field as shown in the figure. The magnetic field has a constant magnitude $B=0\mathrm{.}35T.$ The rod is moving to the right with speed

$u=0\mathrm{.}58\frac{m}{s}.$ The resistance on AB is $R=170.$

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Part $($a$)$

Express the change of the magnetic flux going through the loop $1,{}_1,$ in terms of $B,v,L$ and $t.$

${}_1=$

Grade Summary

Deductions

Potential

Late Work $\%$

$0\%$

Late Potential $100\%$

Late Potential $,100\%$

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Attempt$($s$)$ Remaining: $202\%$ Deduction per Attempt detailed view

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Part $($b$)$

Express the magnitude of the average emf induced in loop $1,{}_1,$ in terms of $B,L$ and $v.$

Part $($c$)$

Calculate the numerical value of ${}_1,$ in volts.

Part $($d$)$

What's the direction of the current induced by ${}_1?$

Part $($e$)$

Express the change of the magnetic flux going through the loop $2,{}_2,$ in terms of $B,v,L$ and $t.$

Part $($f$)$

Express the magnitude of the emf induced in loop $2,{}_2,$ in terms of $B,L_{?}$ and $v.$

Part $($g$)$

Calculate the numerical value of ${}_2,$ in volts.

Part $($h$)$

What's the direction of the current induced by ${}_2?$

Part $($i$)$

Express the current on $AB,$I, in terms of ${}_1$ and $R.$

Part $($j$)$

Calculate the numerical value of I in A $.$