PHYS121A_ Lab 218
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PHYS 121A
Subject
Physics
Date
Apr 3, 2024
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6
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Physics Laboratory Report
Lab Number and Title
: Lab 223: Faraday’s Law
Name
: Katie Nguyen
Group ID
: 4
Date of Experiment
: 11/30/2023
Date of Report Submission
: 12/6/2023
Course and Section Number
: PHYS121A - 011
Instructor’s Name
: Keitarou Matsumoto
Partner’s Names
: Xin Jin, Caden Hendrickson, Woojeong Yoo
1.
Introduction
1.1.
Objectives
-
To understand how electromotive force (EMF) works in an inductor and look into what happens with the
current in an RL circuit when it starts and stops.
1.2.
Theoretical Background
The equation describing the self-induced electromotive force (ε) across an inductor is ε
L
=
-L(di/dt), where L represents the inductance of the coil, and di/dt is the rate of change of current. If the
switch remains in any position long enough, establishing a constant current, and there is no change in
current (di/dt = 0), the induced electromotive force across the inductor is zero. However, when there is a
change in current (di/dt ≠ 0), an electromotive force (emf) exists.
Kirchhoff's Voltage Law is applicable when the switch is shifted to position A, expressed as V0 -
iR - L(di/dt) = 0. In this equation, V0 signifies the battery voltage, R is the loop resistance, and L denotes
the coil inductance. The equation can be reformulated as i(t) = (V0/R)(1 - e^(-t/τ)), where τ is the circuit
time constant (in seconds), given by L/R. Since εL = -L(di/dt), the equation VL(t) = V0e^(-t(R/L)) can be
derived. Taking the natural logarithm of both sides results in ln[1 - (i(t)/i0)] = -(R/L)t, yielding a straight
line. Current initiates when the switch moves from B to A, but the inductor's generated electromotive
force prevents the current from reaching its maximum instantaneously. The rate of current increase is
contingent on the circuit's resistance and inductance, gradually reaching its peak over time from 0.
The given equation holds true when t < 0 in position A, depicting a constant current (i = V0/R):
εL = -L(di/dt) = 0. At t = 0, with the switch shifted to position B, Kirchhoff’s Law of Voltages is
applicable: iR + L(di/dt) = 0. This can be reexpressed as: i(t) = (V0/R)(e^(-t/τ)). Since εL = -L(di/dt) is
valid, the ensuing equation can be formulated: VL(t) = V0e^(-t(R/L)). Taking the natural logarithm of
both sides results in ln[i(t)/i0] = -(R/L)t, forming a linear relationship. The current ceases its flow when
the switch is moved from A to B, but the inductor's generated electromotive force ensures a gradual
current flow over time. The reduction in circuit current is contingent on the circuit’s resistance and
inductance.
2.
Experimental Procedure
The instructions in the lab manual were followed with no manipulations to the experimental procedure
3.
Results
Data Table 1:
Inductor
Inductance (mH)
Resistance (Ω)
Current Loop
20.7
6.3
Solenoid
7.2
1.7
Solenoid:
Figure showing the max voltage
Figure showing the slopes of the graphs which are used to find the time constant
Current Loop:
Figure showing the max voltage
Figure showing the slopes of the graphs which are used to find the time constant
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Vm005 (b) VOS (6) Vme (d) Vm I (s) vitamikorgqs to muminima
a 6 iliw Sysw diootwse AS
no mo lyd beinast ei wrait terW
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Section E: Concept Check
22.Why does brightness decrease when more light bulbs are added in series?
23. Based on your observations and data, what is a disadvantage of a series circuit?
24. Answer the following using the VIR table for the series circuit using question #15.
is divided proportionally among each light bulb.
is the same everywhere.
a. In a series circuit
b. In a series circuit
c. In a series circuit total resistance is
resistance.
than any one source of
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