Two parallel wires in the plane of the paper are distance \( X_{O} \) apart. A point charge is m...

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Two parallel wires in the plane of the paper are distance \( X_{O} \) apart. A point charge is moving with speed \( u \) between the wires in the same plane at a distance \( X_{1} \) from one of the wires. When the wires carry current of magnitude \( I \) in the same direction, the radius of curvature of the path
\( P \) of the point charge is \( R_{1} \). In contrast, if the current \( I \) in the two wires have directions opposite to

W each other, the radius of curvature of the path is \( R_{2} \). If \( \frac{X_{0}}{X_{1}}=3 \), then find the value of \( \frac{R_{1}}{R_{2}} \).
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