Ill) In an experiment, a coil was mounted on a

Chapter , Problem 80

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Ill) In an experiment, a coil was mounted on a low-frictioncart that moved through the magnetic field B of a permanentmagnet. The speed of the cart v and the induced voltage Vwere simultaneously measured, as the cart moved throughthe magnetic field, using a computer-interfaced motion sensorand a voltmeter. The Table below shows the collected data:Speed, v (m/s) 0.367 0.379 0.465 0.623 0.630Induced voltage, V (V) 0.128 0.135 0.164 0.221 0.222(a) Make a graph of the induced voltage, V, vs. the speed, v.Determine a best-fit linear equation for the data. Theoretically,the relationship between V and v is given byV = B N lv where N is the number of turns of the coil, B isthe magnetic field, and is the average of the inside andoutside widths of the coil. In the experiment,B = 0.126 T, N = 50, and = 0.0561 m. (b) Find the %error between the slope of the experimental graph and thetheoretical value for the slope, (c) For each of the measuredspeeds v, determine the theoretical value of V and find the% error of each.