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 c

Question

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 $\frac{X_{0}}{X_{1}} = 3$ , value of $\frac{R_{1}}{R_{2}}$ is

Question diagram: Two parallel wires in the plane of the paper are distance X

Answer:

3.00

Solution:

$B_{1} = \frac{1}{2} (\frac{μ_{0}}{2 π}) (\frac{3 I}{x_{0}})$
$R_{1} = \frac{m v}{q B_{1}}$

$R_{2} = \frac{m v}{q B_{2}}$
$\Rightarrow \frac{R_{1}}{R_{2}} = \frac{B_{2}}{B_{1}} = \frac{\frac{1}{3}}{\frac{1}{9}} = 3$

TestHub · Accepted Answer

B 1 = 1 2 μ 0 2 π 3 I x 0 R 1 = m v q B 1 R 2 = m v q B 2 ⇒ R 1 R 2 = B 2 B 1 = 1 3 1 9 = 3

Physics - Magnetism Question with Solution | TestHub

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