A. Data Table l: RL Circuits Experimental Inductance (L) Inductance Sigral Inter

Question

A. Data Table l: RL Circuits Experimental Inductance (L) Inductance Sigral Interface [L Total Inductance (L tot) Max. Voltage (Vmax) Min. Voltage (Vmin) Half Max Voltage ime at half-max Volt Value Theoretical Value 0.0082 HInductance (L) 0.0082 H 0.02200 H Inductance sigral interface 0.02200 H Lsig) Total Inductance (Ltotal) Resistor (R1) 0.0302H 0.0302 H 5.645 V 100 (ohmns) 0.332 V Resistance of inductor (RL) 5 (ohmns) 2.65 V Resistance of Signal Interface (Rsig 6 (ohmns) Total resistance (R total ohmn5 1.885 X 10 2.72X10A(-4)s -4) s 16.9 ms 0.2 X10A-3) T 2.88 X10A(-4)s percentage Difference, theoretical to experimental value of t0/2) 6.1%

Explanation / Answer

1) time constant is given by L/R

the T1/2 value for experimental is larger as compared to the theoritical.

so in experimental the resistance was lower than the calculated resistance.

2)t1/2 is 0.000836 seconds

now , VL = V e ^( -tR/L)

since in t1/2 the voltage becomes half ,

so,

1/ 2= e ^( -t0.5R/L)

=>ln (0.5)= - 0.000836* R/L

=> L = 0.072 H

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