USE THE PICTURE FOR PROBLEM REFERENCE $3$ total Parts A$,$B and C

Part A

Use the mesh$-$current method to find the steady$-$state expression for $i_o(t)$ in the circuit in $($Figure $1)$ if

$v_a=140cos40,000tV$

$v_b=210sin(40,000t+180)V$

Write the steady$-$state expression for $i_o(t)$ as $i_o(t)=I_{o}cos(t+)A,$ where

Figure

$1$ of $1$

Find the numerical value of $I_o.$

Express your answer to three significant figures and include the appropriate units.

View Available Hint$($s$)$

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Part B

Find the numerical value of $.$

Express your answer in degrees to three significant figures.

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Part C

Find the numerical value of $.$Value should be in rad$/$s