Series wiring means that the devices are connected in such a way
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Transcript Series wiring means that the devices are connected in such a way
Series wiring means that
the devices are connected
in such a way that there is
the same electric current
through each device. One
loop only for the flow of
electricity.
1. The current in all
parts of a series
circuit has the same
magnitude:
IT = I1 = I2 = I3 = etc.
2. The sum of all the
separate drops in
potential around a
series circuit is equal
to the applied emf:
= V1 + V2 + V3 + etc.
3. The total resistance
in a series circuit is
equal to the sum of the
separate resistances:
RT = R1 + R2 + R3 + etc.
When resistors are connected
in series, I is constant, the V is
divided between the resistors
(V1 +V2 = V), and the
equivalent resistance RS
is the sum of the individual
resistances
(RS = R1 + R2, etc.).
A 6.00-Ω resistor and
a 3.00-Ω resistor are
connected in series with a
12.0-V battery. Assuming
the battery contributes no
resistance to the circuit, find
the current in the circuit.
Parallel wiring means that
the devices are connected
in such a way that the
same voltage is applied
across each device. There
is more than one pathway
in which the current flows.
1. The total current in a
parallel circuit is
equal to the sum of
the currents in the
separate branches.
IT = I1 + I2 + I3 + etc.
2. The potential
difference across all
branches of a parallel
circuit must have the
same magnitude.
VT = V1 = V2 = V3 = etc.
3. The reciprocal of the
equivalent resistance is
equal to the sum of the
reciprocals of the
separate resistances
in parallel.
1/REq = 1/R1 + 1/R2 + 1/R3 + etc.
When two resistors are
connected in parallel, each
receives current as if the
other were not present. This
results in the equivalent
resistance being less than
either resistance R1 or R2.
1/RP = 1/R1 + 1/R2 + etc.
Two speakers connected
in parallel have an ac voltage
of 6.00 V. The main speaker
resistance is 8.00 Ω, the remote
speaker resistance is 4.00 Ω.
Determine (a) the equivalent
resistance of the two speakers,
(b) the total current supplied
by the receiver,
(c) the current in each speaker.
Circuits are often wired
partially in series and
partially in parallel.
This can be a big mess,
but we must learn it
anyway.
(At least I’m honest.)
Three resistors are connected in a
circuit as shown. Determine the
current in one of the 16-Ω resistors.
Kirchhoff’s Rules can be
used to analyze circuits
where individual groups
cannot be combined. The
two rules are the junction
rule and the loop rule.
The junction rule states
that the total current
directed into a junction
must equal the total
current directed out of
the junction.
The loop rule states
that for a closed circuit
loop, the total of all the
potential rises is the
same as the total of all
the potential drops.