When resistors of equal value are connected in series, they will develop voltage drops of_____ value.
equal
In a circuit, resistors of equal value are connected in series. One of the resistors malfunctions and shorts the circuit. The voltage drops across the remaining resistors will:
increase
Two 25 ohm resistors connected in series will require_________ voltage source to produce a 6 volt voltage drop across one 25 ohm resistor.
12V
How much voltage will be found across a blown fuse?
whatever the source voltage is
How much is the voltage drop across a shorted resistor?
it is equal to zero
What is the total resistance of a twelve-ohm and an eight-ohm resistor connected in parallel?
4.8 ohms
Applications of series circuits
batteries, string lights, thermostats, electric water heater
voltage drops in a series circuit
voltage divided at every load
total voltage applied =
sum of all the voltage drops
resistance total in a series circuit
sum of all the resistor values
currents, formula in a series circuit
the same everywhere (total V = I x total R)
power in a series circuit
sum of power dissipated by each resistance or total P = total E x I
open circuit
switch is open, fuse/resistor burned out
short circuit
resistor is burned but metal wire is still touching (connected/jumper wire)
open circuit in a series circuit (I, V, R)
no current, voltage is the total source voltage applied, infinite resistor
short circuit in a series circuit (R, I, V)
0 resistance, increased total current, voltage drop 0
applications of parallel circuit
everything in a house, appliances in the house, automobile lighting circuit, power strip
series circuit is a ____ divider
voltage
parallel circuit is a ____ divider
current
parallel circuit: electron flow
electrons are divided into multiple paths (path with less resistance takes more)
total current in a parallel circuit
add all of the individual currents
parallel circuit: main line current
current entering/exiting voltage source (the same)
parallel circuit: branch current
individual current
resistance total (more than two) in a parallel circuit
(1/R1 + 1/R2 +…_) ^-1
resistance total (only 2) in a parallel circuit
R1xR2/R1+R2
voltage in a parallel circuit
constant
total resistance is more or less than the value of any of the resistors in the branches of a parallel circuit
less
current drop across ressitors in a parallel circuit
use ohm’s law with individual resistors to find individual currents
power dissipation in a parallel circuit
power = voltage x current, not split evenly across all resistors
open resistor in a parallel circuit (R, I)
infinite R, no current
short resistor in a parallel circuit (R, I, where does current go)
zero R, increase total I, current goes to the shorted branch due to no resistance
another way to calculate total resistance in a parallel circuit
total resistance = value of one resistor / number of resistors
troubleshooting a parallel circuit measure:
current
troubleshooting a series circuit measure:
voltage