In an experiment, a conductor of length 1,0 m is placed perpendicular to an external magnetic field. The given graph shows how the force on the conductor varies as the current through the conductor changes. The magnitude of the magnetic field applied in this experiment will be

Correct answer: A. 0.23 Tesla

  • A. 0.23 Tesla
  • B. 1.11 Tesla
  • C. 2.15 Tesla
  • D. 4.37 Tesla

Explanation

Given the graph showing a straight line from (0,0) to (3,0.7) with a constant gradient, we need to determine the magnitude of the magnetic field applied in the experiment. From the graph, we can see that the force (F) on the conductor is directly proportional to the current (I) because the graph shows a straight line. This means that as the current increases, the force also increases proportionally. Since the length of the conductor (L) is given as 1.0 m, we can calculate the magnetic field (B) by finding the slope of the line from the graph. The slope represents the change in the dependent variable (force) divided by the change in the independent variable (current). In this case, the slope represents the ratio of force to current. From the graph, we can calculate the slope as the change in force (0.7 N) divided by the change in current (3 A): Slope = (Change in Force) / (Change in Current)= (0.7 N) / (3 A)≈ 0.23 N/A Therefore, option A is the correct answer based on the given options.

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