Problem $8$: $(7\backslash \%$ of Assignment Value$)$

The circular areas in the drawing represent two infinite solenoids that intersect the plane of the circuit shown and produce magnetic fields in opposite directions. The radii of the solenoids are a and $2$ a where $\backslash (\backslash$mathrm$\{$a$\}=14\backslash$mathrm$\{$~cm$\}\backslash ).$ The current in each solenoid is changing with time, so that the magnetic fields are changing as $\backslash (\backslash$mathrm$\{$dB$\}/\backslash$mathrm$\{$dt$\}=25\backslash$mathrm$\{$~T$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The left and right resistors have resistance $\backslash (\backslash$mathrm$\{$R$\}=4\mathrm{.}8\backslash$Omega $\backslash ),$ and the middle resistor has twice that resistance.

Part $($a$)$

What is the current in amperes through the resistor $2$ R in the middle of the circuit?

Grade Summary

Deductions Potential

Late Work $\backslash \%$

Late Potential

Submissions

Attempt$($s$)$ Remaining: $1\backslash (0\backslash \%\backslash )$ Deduction per Attempt detailed view $1234$

$0\backslash \%0\backslash \%\backslash (0\backslash \%\backslash )$

$\backslash (\backslash$mathrm$\{$I$\}=\backslash )$ A

Hints: deduction per hint. Hints remaining: $\backslash (\backslash$underline$\{2\}\backslash )$

Feedback: deduction per feedback.