The next two problems both relate to the following situation.

Two very long wires run parallel to each other $($both are in the plane of the screen$),$ as shown in the figure below. Both currents, $I_1$ and $I_2,$ flow in the same direction $($to the right$).$ The figure shows only a relatively small length of each wire. The separation distance between the wires is $d.$

Question $20$

$5$ pts

If $I_1=1\mathrm{.}23A,I_2=3\mathrm{.}22A,$ and $d=5\mathrm{.}74cm,$ what is the magnitude of the magnetic field at any location along the top wire?

Enter your answer in units of microtesla, ${10}^{-6}$ Tesla. For example, if your calculation produces a value of $1\mathrm{.}23{10}^{-7}T,$ first convert units to $1\mathrm{.}23{10}^{-1}({10}^{-6}(T))$ or $0\mathrm{.}123{10}^{-6}T,$ then enter your answer as $0\mathrm{.}123.$

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Question $21$

$5$ pts

If $I_1=3\mathrm{.}27A,I_2=1\mathrm{.}74A,$ and $d=6\mathrm{.}5cm,$ what is the magnitude of the magnetic force on a $3\mathrm{.}04$ cm length of the bottom wire?

Enter your answer in units of micronewtons, ${10}^{-6}.$ Newtons. For example, if your calculation produces a value of $1\mathrm{.}23{10}^{-7}N,$ first convert units to $1\mathrm{.}23{10}^{-1}({10}^{-6}(N))$ or $0\mathrm{.}123{10}^{-6}N,$ then enter your answer as $0\mathrm{.}123.$