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5. A conducting bar with a mass of 0.155 kg and a length of 16.0 cm is suspended

ID: 2184325 • Letter: 5

Question

5. A conducting bar with a mass of 0.155 kg and a length of 16.0 cm is suspended touching two vertical electrical contacts which form an electric circuit with a battery that has an electric potential of 8.5 V. The
bar sits in an unknown magnetic field. The current that passes through the rod is 2.0 A.
(i) What is the resistance R that exists in the bar (assuming no resistance in any other wire)?
(ii) What is the magnetic field, both magnitude and direction, that would cause the bar to hover (i.e not
accelerate upward or downward)

Explanation / Answer

(a)Resistance R = V/I = 8.5/2 = 4.25 ohm (b) For the bar to hover, Mass of bar should be balanced by magnetic force so, Mg = BIL so, B = .155*9.8/(2*.16) = 4746.875 T direction will be into the plane of paper if current flows form left to right

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