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Question

Two long parallel conductors carry currents $I_1=3.00 \mathrm{~A}$ and $I_2=3.00 \mathrm{~A}$. Determine the magnitude and direction of the resultant magnetic field at $P$.

Solution

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Answered 1 year ago

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The magnitudes of the currents in the two long parallel wires $\color{#c34632}I_1$ and $\color{#c34632}I_2$, both directed into the page, are equal: $\color{#c34632}I_1=I_2=I=3.00\, \text{A}$. The distance from $I_1$ to point P is $\color{#c34632}r_1=5.00\, \text{cm}$, and the distance from $I_2$ to point P is $r_2=12.00\, \text{cm}$. The distance between the wires is $\color{#c34632} d=13.0\, \text{cm}$.

We need to determine the magnitude of the resultant magnetic field $\color{#c34632} B$ at the point P.(see the $\textbf{figure P19.61}$

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