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**1. Homework Statement**

The 10-cm-wide, zero-resistance slide wire shown in the figure is pushed toward the 2.0[tex]\Omega[/tex]resistor at a steady speed of 0.50 m/s. The magnetic field strength is 0.50 T.

A) How big is the pushing force?

B) How much power does the pushing force supply to the wire?

C) What is the magnitude of the induced current?

D) How much power is dissipated in the resistor?

**2. Homework Equations**

[tex]F_{push} = \frac{v L^2 B^2}{R}[/tex]

[tex]P_{input} = F_{push}*v = \frac{v^2 L^2 B^2}{R}[/tex]

**3. The Attempt at a Solution**

A) [tex]F_{push} = \frac{v L^2 B^2}{R} = \frac{(0.5) (0.1)^2 (0.5)^2}{2} = 6.25 * 10^{-4} N[/tex]

B) [tex]P_{input} = F_{push}*v = \frac{v^2 L^2 B^2}{R} = \frac{(0.5)^2 (0.1)^2 (0.5)^2}{2} = 3.125 * 10^4 W[/tex]

C) [tex]I = \frac{vLB}{R} = \frac{(0.5)((0.1)(0.5)}{2} = 1.25 * 10^2 A[/tex]

D) [tex]P_{dissipated} = P_{input} = 3.125 * 10^4 W[/tex]

Did I make any mistakes?

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