1.

Two parallel wires in the plane of the paper are distance X_0 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 of the point charge is R_1 In contrast, if the currents I in the two wires have directions opposite to each other, the radius of curvature of the path is R_2. If (X_0)/(X_1)=3, the value of (R_1)/(R_2) is

Answer»


SOLUTION :`X_1=(X_0)/3` and `X_2=(2X_0)/3`
`r=(m u)/(qB)`
Hence RATIO of radian
`(R_1)/(R_2)=(B_2)/(B_1)`
CASE `I`
`B_1=(mu_0I)/(2pi)(1/(x_1)-1/(x_2))=(mu_0I)/(2pi)(3/(x_0)-3/(2x_2))=(2mu_0I)/(4pix_0)`
Case `II`
`B_2=(mu_0I)/(2pi)(1/(x_1)+1/(x_2))=(9mu_0I)/(4pix_0) implies (R_1)/(R_2)=(B_2)/(B_1)=3`


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