Two parallel rails with negligible resistance are 14.5 cm part and are connected

Question

Two parallel rails with negligible resistance are 14.5 cm part and are connected by a 5.00 resistor. The circuit also contains two metal rods having resistances of R = 10.0 ? and 15.0 ? sliding along the rails. The rods are pulled away from the resistor at constant speeds 4.00 m/s and 2.00 m/s, respectively. A uniform magnetic field of magnitude 0.0100 T is applied perpendicular to the plane of the rails. Determine the magnitude and direction of the current in the 5.00 ? resistor. Your response differs from the correct answer by more than 10%. Double check your calculations. muA

Explanation / Answer

Left Loop

?I1R1?Blv1?I1R3+I2R3=0

Right Loop

?Blv2?I2R2?I2R3+I1R3=0

Add some numbers

Left Loop

?15I1+52=4Bl

Right Loop

5I1?20I2=2Bl

[?1555?2042]

????1001?1855?1055????

So I1 = 18/55A and I2 = 10/55A

So the current down the middle resistor must be 8/55A which is 0.145A

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