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#1: Use data obtained in Table 1 to plot inductor voltage (VL ) vs time (t) graph. Calculate the time constant andcompare with the theoretical value. Label the axes properly.Time constant (theoretical) =Time constant (measured from the graph) =% of error =#2: Use data obtained in Table 2 to plot inductor voltage (VL ) vs time (t) graph. Calculate the time constant andcompare with the theoretical value. Label the axes properly.Time constant (theoretical) =Time constant (measured from the graph) =% of error =Results:Discussion: Data Tables: Table 1:Time dependent for the voltage decay positive to zero of an inductor Time (stt) Calculated Vi (positive to zero) 4V Measured VL Time (us) Calculated VL Measured VL (positive to zero) 3.72V 175 0.695 1.08V 3.11V 3.00v 200 0.54V 6,96V 2.43V 2.40v 225 0.42V 38'0 1.989v 1.96V 250 0.33V 0.8v 1.47v 1.68V 275 0.26V OV 1.90v 300 0.199 OV 1.15v 68'0 1.20V 325 0.155V DV 0 35 50 75 100 135 150 Table 2:Time dependent for the voltage decay (negative to zero of an inductor Time (us) Calculated V Measured Vi Time Calculated V Measured V (negative to (srl) (negative to zero) zero) 0 -4v 3.6v 175 06FV 096V 25 -3.11v 3.04v 200 -0.54V 138'0 -2.43v 2.44v 225 -0.42v 0.84v 50 -1.889V 250 0.33V 0.8V 75 2.00v -1.4v -1.64v 275 -0.26V OV 106 -1.15V 300 -0.199v OV 125 -1.36v 150 -0.89 -1.16V 325 -01F5V OV

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Inside your smartphone is a small integrated circuit called a Hall sensor that measures the magnetic field to fairly high precision. (It is actually made of three separate Hall bars to measure the field components in the x and z directions.) The Hall sensor acts like a compass for your phone and assists in navigation and GPS apps. Let's assume each Hall bar is a strip that is 20 m long, 5 m wide, and 1 m thick. Typically, the Hall bars in your phone are made of doped silicon - a silicon crystal in which 0.1% of the silicon atoms are replaced with a boron atom. Each boron atom has one less valence electron than a silicon atom. The result is that each boron atom donates one positive "hole" electron vacancy that acts as a mobile positive charge carrier with charge +e. What is the density n of holes in the Hall bar? You can look up any relevant information about silicon on Wikipedia, etc. Let's assume that your smartphone is measuring Earth's magnetic field of B = (20 T, -50 T, 0 T), where i points magnetic north and k is up. A current of 5 mA is passed down the length of each Hall bar, in the +x, +y, +z direction respectively, and the Hall voltage is measured across its width. What is the Hall voltage (including sign) measured on each of the three Hall bars? The figure shows the geometry for the bar whose long axis is parallel to the x direction. The voltage reading is positive if the +y edge is at a higher potential than the -y edge.
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#1: Use data obtained in Table 1 to plot inductor voltage (VL ) vs time (t) graph. Calculate the time constant andcompare with the theoretical value. Label the axes properly.Time constant (theoretical) =Time constant (measured from the graph) =% of error =#2: Use data obtained in Table 2 to plot inductor voltage (VL ) vs time (t) graph. Calculate the time constant andcompare with the theoretical value. Label the axes properly.Time constant (theoretical) =Time constant (measured from the graph) =% of error =Results:Discussion: Data Tables: Table 1:Time dependent for the voltage decay positive to zero of an inductor Time (stt) Calculated Vi (positive to zero) 4V Measured VL Time (us) Calculated VL Measured VL (positive to zero) 3.72V 175 0.695 1.08V 3.11V 3.00v 200 0.54V 6,96V 2.43V 2.40v 225 0.42V 38'0 1.989v 1.96V 250 0.33V 0.8v 1.47v 1.68V 275 0.26V OV 1.90v 300 0.199 OV 1.15v 68'0 1.20V 325 0.155V DV 0 35 50 75 100 135 150 Table 2:Time dependent for the voltage decay (negative to zero of an inductor Time (us) Calculated V Measured Vi Time Calculated V Measured V (negative to (srl) (negative to zero) zero) 0 -4v 3.6v 175 06FV 096V 25 -3.11v 3.04v 200 -0.54V 138'0 -2.43v 2.44v 225 -0.42v 0.84v 50 -1.889V 250 0.33V 0.8V 75 2.00v -1.4v -1.64v 275 -0.26V OV 106 -1.15V 300 -0.199v OV 125 -1.36v 150 -0.89 -1.16V 325 -01F5V OV
TopicAll topics
SubjectPhysics
ClassClass 12