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Wentworth Institute of Technology Name: Department of Electronics and Mechanical Date: ELEC 195 - Circuits Theory II
Experiment 13
Mutual Inductance and Dot Convention
Objective: To measure the coefficient of coupling and mutual inductance between two mutually connected coils, and to observe the variation in coupling vs. distance. Equipment Required 2 4.5 mH coils 1 100 1 set of coaxial to alligator connectors 2 set to banana to alligator connectors Procedure: a) Wire the circuit as shown in the schematic and place the two coils as shown below.
Place the coils face to face and measure the RMS voltage across the resistor using an oscilloscope or an AC voltmeter. Measure the input rms voltage and calculate the current using the flowing formula: V1Rrms = _________________ R
V R
I (^) rms rms
I1rms = __________________ Now let’s calculate the total reactance, rms rms rms leg I Vin V R X 1
(^) X1leg = __________________ Now, we can calculate the total inductance, leg leg X L 1 1 L1leg = __________________ We need to use the formula L1Leg = L 1 + L 2 2M to calculate M; substituting L 1 + L 2 by Lsum, we have L1Leg = Lsum 2MM Eq. 1 As you can see, we have one equation and two unknowns (M and Lsum). Thus, we need another equation in term of M and Lsum. The second equation can be obtained by reversing the connection of one of the coils. What is changing by reversing the connection of one of the coils? b. Reverse the connection and repeat part a. V2Rrms = _________________ R
V R
I (^) rms rms
I2rms = __________________
