Engineering
Physics
Magnetic Field
Question

Two parallel wires in the plane of the paper are distance X0 apart. A point charge is moving with speed u between the wires in the same plane at a distance X1 from one of the wires. When the wires carry current of magnitude I in the same direction, the radius of curvature of the path of the point charge is R1. In contrast, if the currents I in the two wires have directions opposite to each other, the radius of curvature of the path is R2 If x0x1= 3, the value of R1R2 is

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Solution

 R1=mvqB=muqB

 =µ0i2πx1µ0i2π(x0x1)  =  µ0i2πx1  ×(112)

 B'=µ0i2πx1+  µ0i2π(x0x1)  =  µ0i2πx1(1+12)

 R1R2  =  B'B  =3