An Introduction to Biomedical Instrumentation, 2nd Edition by D. J. Dewhurst (Auth.)

By D. J. Dewhurst (Auth.)

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7. Eventually the capacitor voltage will reach E, the resistor voltage will be zero, and no further current will flow. 6) where € has the value 2 - 7 1 8 . . € is a mathematical constant known as the base of natural logarithms. tlRC t/RC Values of e~ and (1— e~ ) are frequently required in calculating charging curves. 3 gives some representative points. Once the values of R and C (megohm 51 CAPACITANCE 100r TIME (SECONDS) F I G . 7. Charging curve for RC series combination. and μ¥) are determined in a particular circuit, the value of t/RC is calculated for a number of points in time after charging has started.

6 ) t/RC 0 0-2 0-4 0-6 0-8 10 20 30 40 €-t/RC l-e-'/* 100 0-82 0-67 0-55 0-45 0-37 013 005 002 c 0 018 0-33 0-45 0-55 0-63 0-87 0-95 0-98 If, having charged the capacitor fully, button A is released and button Β pressed, current will flow out of the capacitor through the resistor. The flow will be rapid at first, and then slower and slower as the capacitor empties. The discharge curve will be as shown in Fig. 8 for the circuit of Fig. 6. 7) so that again 63 % of the total voltage change will occur in one time constant, and 99 % in five.

4). On closing the switch, a constant current flows in the circuit, and the voltmeter reading is found to rise steadily (region B, Fig. 4). If allowed to continue, the pointer would eventually reach and exceed its full scale value. If the switch is opened before this occurs, the reading will at once s*op increasing and will retain its last value indefinitely (region C, Fig. 4). If finally the constant current supply is reversed and the switch again closed, the voltmeter reading will fall steadily (region Z>, Fig.

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