As a way of determining the inductance of a coil used in aresearch project, a st

Question

As a way of determining the inductance of a coil used in aresearch project, a student first connects the coil to a10.0 V battery and measures a current of0.690 A. The student then connects thecoil to a 24.0 V (rms), 60.0 Hz generator and measures an rmscurrent of 0.570 A. What is the inductance?

L = 1 mH
As a way of determining the inductance of a coil used in aresearch project, a student first connects the coil to a10.0 V battery and measures a current of0.690 A. The student then connects thecoil to a 24.0 V (rms), 60.0 Hz generator and measures an rmscurrent of 0.570 A. What is the inductance?

L = 1 mH

Explanation / Answer

   Resistance ofcoil   R   =   Vdc/ Idc   =   10.0 /0.690   =   14.49       Impedance of thecoil   Z   =   Vrms/ Irms   =   24.0 /0.570   =   42.10       Z   =  R2   +   XL2    42.102   =   14.492   +   XL2    XL   =   (1772.41   -   209.96)   =   39.53       Also inductivereactance   XL   =   * L   =   2 * f * L    Inductance ofcoil   L   =   39.53/ 2 * 3.14 *60   =   0.105   H   =   105   mH    XL   =   (1772.41   -   209.96)   =   39.53       Also inductivereactance   XL   =   * L   =   2 * f * L    Inductance ofcoil   L   =   39.53/ 2 * 3.14 *60   =   0.105   H   =   105   mH    

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